== Elliptical ==
 
=== Sphere ===
 
==== Tetrahedron ''' [[File:Fig_MT_ell_sph_tetra.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="5" | F0:0:1
| [[User:Baumann#eb_014|Eduard Baumann]] || 2/7/2012 || 37
|-
| Nan Ma || 2/10/2012 || 6
|-
| [[User:Thermostatico|Raymond Zhao]] || 8/8/2012 || 8
|-
| [http://astr73.narod.ru/MTiles_solve/aa_estf_0_0_1_7.xml Andrey Astrelin] || 9/26/2012 || 7
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 11

|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="5" | E1:0:0
|| [[User:Baumann#eb_010|Eduard Baumann]] || 2/7/2012 || 57
|-
| Nan Ma || 2/10/2012 || 16
|-
| [[User:Thermostatico|Raymond Zhao]] || 8/8/2012 || 19
|-
| [http://astr73.narod.ru/MTiles_solve/aa_este_1_0_0_23.xml Andrey Astrelin] || 9/26/2012 || 23
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 68
|-
|rowspan="3" | E0:0:1
|| Nan Ma || 02/10/2012 || 48
|-
| [[User:Baumann#eb_011|Eduard Baumann]] || 2/19/2012 || 160
|-
| [http://astr73.narod.ru/MTiles_solve/aa_este_0_0_1_45.xml Andrey Astrelin] || 9/26/2012 || 45
|-
|rowspan="5" | E1:0:0.5
|| Nan Ma || 02/10/2012 || 4
|-
| [[User:Baumann#eb_012|Eduard Baumann]] || 2/17/2012 || 14
|-
| [[User:Thermostatico|Raymond Zhao]] || 8/8/2012 || 3
|-
| [http://astr73.narod.ru/MTiles_solve/aa_este_1_0_0.5_3.xml Andrey Astrelin] || 9/26/2012 || 3
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 2

|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | V0:0:1
| Nan Ma || 2/10/2012 || 27
|-
| [[User:Baumann#eb_013|Eduard Baumann]] || 2/15/2012 || 29
|-
| [[User:Thermostatico|Raymond Zhao]] || 8/8/2012 || 17
|-
| [http://astr73.narod.ru/MTiles_solve/aa_estv_0_0_1_26.xml Andrey Astrelin] || 9/26/2012 || 26
|-
| rowspan="1" | V0:0:1 V0:0:1.33
| Nan Ma || 6/6/2012 || 196
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F1:0:0.5 V1:0:0.5 (Jing's Pyraminx) || Nan Ma || 02/10/2012 || 18
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 62
|-
| rowspan="3" | F0:1:0 V1:0:0
| Nan Ma || 02/10/2012 || 13
|-
| [[User:Baumann2#eb_141|Eduard Baumann]] || 08/15/2012 || 40
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 11
|-
| E0:1:0 V0:0:1 || Nan Ma || 02/10/2012 || 83
|-
| F1:0:0.5 E1:0:0.5 V1:0:0.5 (Super Chop) || Nan Ma || 02/11/2012 || 634
|}
 

==== Octahedron ''' [[File: Fig_MT_ell_sph_octa.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4"| F0:0:1 || Nan Ma || 01/21/12 || 14
|-
| [[User:Thermostatico|Raymond Zhao]] || 08/08/12 || 20
|-
| [[User:Baumann2#eb_163|Eduard Baumann]] || 09/20/2012 || 35
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/24/2012 || 23
|-
| F0:2:0 || Nan Ma || 01/21/12 || 165
|-
| F2:0:0 || Nan Ma || 02/11/12 || 61
|-
| F0:2:0 F2:0:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | E0:1:0
| Nan Ma || 02/11/2012 || 76
|-
|[[User:Baumann2#eb_085|Eduard Baumann]] || 05/29/2012 || 52
|-
|[[User:Thermostatico|Raymond Zhao]] || 08/08/2012 || 56
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/24/2012 || 118
|-
| E1:0:0 || Nan Ma || 02/11/2012 || 80
|-
| E1.33:0:0 || Nan Ma || 02/11/2012 || 688
|-
| E0:1:0.667 || - || - || -
|-
| E2:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || Nan Ma || 02/11/2012 || 56
|-
| V1.5:0:0 || Nan Ma || 12/19/11 || 76
|-
| rowspan="3"|V2:0:0 (Trivial) || Nan Ma || 02/11/2012 || 1
|-
|[[User:Thermostatico|Raymond Zhao]] || 08/08/2012 || 1
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 1
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:1:0 V1:0:0
| Nan Ma || 02/11/2012 || 68
|-
| [[User:Baumann2#eb_089|Eduard Baumann]] || 05/30/2012 || 77
|-
| [[User:Baumann2#eb_140|Eduard Baumann]] || 08/15/2012 || 71
|-
| rowspan="2" | E0:1:0 V0:0:1
| Nan Ma || 02/11/2012 || 280
|-
| [[User:Baumann5#eb_282|Eduard Baumann]] || 03/24/2013 || 339
|-
| F0:2:0 E0:1:0 V0:0:1 || - || - || -
|-
| F2:0:0 E2:0:0 V2:0:0 (Super Chop) || - || - || -
|}
 

==== Icosahedron ''' [[File: Fig_MT_ell_sph_icosa.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| Nan Ma || 12/16/11 || 698
|-
| [[User:Baumann3#eb_204|Eduard Baumann]] || 10/23/2012 || 543
|-
| F0:2:0 || [[User:Baumann5#eb_305|Eduard Baumann]] || 06/29/2013 || 77239
|-
| F0.33:0:1 || - || - || -
|-
| F0.55:0:1 || - || - || -
|-
| F0:2:1 || - || - || -
|-
| F1:1:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0
| Nan Ma || 02/11/2012 || 200
|-
| [[User:Baumann2#eb_087|Eduard Baumann]] || 05/29/2012 || 277
|-
| E0:1:0.667 || - || - || -
|-
| E1:1:1 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [http://astr73.narod.ru/MTiles_solve/aa_esiv_0_0_1_222.xml Andrey Astrelin] || 9/28/2012 || 222
|-
| rowspan="2" | V1.33:0:0
| [http://astr73.narod.ru/MTiles_solve/aa_esiv_1.33_0_0_312.xml Andrey Astrelin] || 9/28/2012 || 312
|-
| [[User:Baumann3#eb_221|Eduard Baumann]] || 11/27/2012 || 423
|-
| rowspan="2" | V2:0:0
| [http://astr73.narod.ru/MTiles_solve/aa_esiv_2_0_0_339 Andrey Astrelin] || 10/02/2012 || 339
|-
| [[User:Baumann3#eb_222|Eduard Baumann]] || 11/28/2012 || 414
|-
| V0:2:1 || - || - || -
|-
| V1:1:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
|| [[User:Baumann2#eb_090|Eduard Baumann]] || 05/30/2012 || 325
|-
|| [http://astr73.narod.ru/MTiles_solve/aa_esim_010_100_310 Andrey Astrelin] || 10/02/2012 || 310
|-
| E0:1:0 V0:0:1 || [[User:Baumann3#eb_224|Eduard Baumann]] || 11/30/2012 || 1046
|-
| F1:1:1 E1:1:1 V1:1:1 (Super Chop) || - || - || -
|}
 

==== Cube ''' [[File: Fig_MT_ell_sph_cube.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
| Nan Ma || 02/11/2012 || 40
|-
| [[User:Baumann2#eb_165|Eduard Baumann]] || 09/21/2012 || 98
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 59
|-
| rowspan="3" | F0.67:0:1 (Rubik's Cube) || Nan Ma || 12/19/11 || 104
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 78
|-
| [[User:Baumann6#eb_308|Eduard Baumann]] || 11/04/2013 || 115
|-
| rowspan="3" |F1:0:1 (2x2x2) || Nan Ma || 02/11/2012 || 34
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 26
|-
| [[User:Baumann6#eb_307|Eduard Baumann]] || 11/05/2013 || 50
|-
| rowspan="2" |F0.5:0:1 F1:0:1 (Rubik's Revenge) || Nan Ma || 06/06/2012 || 179
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 229
|-
| rowspan="2" |F0.4:0:1 F0.8:0:1 (Professor's Cube) || Nan Ma || 06/06/2012 || 339
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/21/2012 || 377
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
| Nan Ma || 02/12/2012 || 50
|-
|[[User:Baumann2#eb_086|Eduard Baumann]] || 05/29/2012 || 65
|-
| E0:1:0 || Nan Ma || 02/12/2012 || 160
|-
| E0:1.33:0 || - || - || -
|-
| E0:1.67:0 || - || - || -
|-
| rowspan="2" | E1:0:1 (Little Chop)
| Nan Ma || 04/05/2012 || 469
|-
|[[User:Baumann6#eb_306|Eduard Baumann]] || 10/24/2013 || 450852
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.3:0:0
| Nan Ma || 02/12/2012 || 34
|-
| [[User:Baumann2#eb_164|Eduard Baumann]] || 09/21/2012 || 58
|-
| V0:0:1 || Nan Ma || 02/12/2012 || 29
|-
| V2:0:0 || Nan Ma || 02/12/2012 || 203
|-
| V1:0:1 (Skewb) || Nan Ma || 01/21/12 || 28
|-
| V2:0:0 V1:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
| Nan Ma || 02/12/2012 || 57
|-
| [[User:Baumann2#eb_091|Eduard Baumann]] || 05/30/2012 || 72
|-
| E0:1:0 V0:0:1 || [[User:Baumann5#eb_281|Eduard Baumann]] || 03/23/2013 || 579
|-
| F-1:0:1 E1:0:0 V1:0:0 || Nan Ma || 12/13/11 || 290
|-
| F1:0:1 E1:0:1 V1:0:1 (Super Chop) || - || - || -
|}
 

==== Dodecahedron ''' [[File:Fig_MT_ell_sph_dode.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || Nan Ma || 02/12/2012 || 140
|-
| rowspan="2" |F0.67:0:1 (Megaminx) || Nan Ma || 02/12/2012 || 320
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 891
|-
| F0:2:0 (Pyraminx Crystal) || Nan Ma || 01/21/12 || 339
|-
| rowspan="2"| F2:0:1
| [[User:Baumann#eb_008|Eduard Baumann]] || 04/16/2012 || 168620
|-
| [[User:Baumann3#eb_228|Eduard Baumann]] || 12/14/2012 || 8055
|-
| F1:1:1 || - || - || -
|-
| F0.4:0:1 F0.8:0:1 (Gigaminx) || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E1:0:0
| Nan Ma || 02/12/2012 || 198
|-
| [[User:Baumann2#eb_088|Eduard Baumann]] || 05/29/2012 || 232
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 509
|-
| E0:1:0 || [[User:Baumann3#eb_216|Eduard Baumann]] || 11/22/2012 || 1058
|-
| E0:1:0.11 || [[User:Baumann3#eb_226|Eduard Baumann]] || 12/04/2012 || 5788
|-
| E0:1:0.375 || - || - || -
|-
| E1:1:1 (Big Chop) || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann2#eb_162|Eduard Baumann]] || 09/19/2012 || 256
|-
| V0:0:1 || [[User:Baumann3#eb_217|Eduard Baumann]] || 11/23/2012 || 560
|-
| V2:0:0 || [[User:Baumann3#eb_219|Eduard Baumann]] || 11/26/2012 || 2369
|-
| V0:1:0.5 || [[User:Baumann3#eb_225|Eduard Baumann]] || 12/02/2012 || 2582
|-
| V2:0:1 || - || - || -
|-
| V1:1:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
| Nan Ma || 02/12/2012 || 240
|-
| [[User:Baumann2#eb_092|Eduard Baumann]] || 05/30/2012 || 269
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| rowspan="2" | F1:0:1 E1:0:0 V1:0:0
| Nan Ma || 12/12/11 || 1132
|-
| [[User:Baumann3#eb_220|Eduard Baumann]] || 11/27/2012 || 715
|-
| F1:1:1 E1:1:1 V1:1:1 (Super Chop) || - || - || -
|}
 

==== {3,5} 8-Color ''' [[File:Fig_MT_ell_sph_3,5_8c.PNG|240px]]''' ====
----
===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0.5:0:0 E0.5:0:0 || Nan Ma || 02/11/2012 || 59
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 119
|-
| rowspan="3" | F0:0:0.8 V0.8:0:0
|| Nan Ma || 12/24/11 || 324
|-
| Roice Nelson || 12/24/11 || 281
|-
| [[User:Baumann#eb_038|Eduard Baumann]] || 05/06/2012 || 1494
|-
|}
 

=== Projective Plane ===
 
==== Hemi-Octahedron ''' [[File:Fig MT proj hemi octa.PNG|240px]]'''====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
|| [[User:Baumann2#eb_060|Eduard Baumann]] || 05/22/2012 || 17
|-
| Nan Ma || 06/03/2012 || 7
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 8
|-
| F0:2:0 || Nan Ma || 06/03/2012 || 12
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | E0:1:0
| [[User:Baumann#eb_044|Eduard Baumann]] || 05/13/2012 || 17
|-
| [[User:Cutelyaware#hoe0-1-0|Melinda Green]] || 05/17/2012 || 5
|-
| Nan Ma || 06/03/2012 || 9
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 14

|-
| rowspan="3" | E1:0:0
| [[User:Baumann#eb_049|Eduard Baumann]] || 05/14/2012 || 31
|-
| Nan Ma || 06/03/2012 || 23
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 12
|-
| E1.33:0:0 || - || - || -
|-
| E0:1:0.667 || [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 2
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
| [[User:Baumann2#eb_061|Eduard Baumann]] || 05/22/2012 || 29
|-
| Nan Ma || 06/03/2012 || 27
|-
| V1.5:0:0 || Nan Ma || 12/24/11 || 12
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:1:0 V1:0:0
| [[User:Baumann2#eb_062|Eduard Baumann]] || 05/22/2012 || 33
|-
| Nan Ma || 06/03/2012 || 23
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 40
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| F0:2:0 E0:1:0 V0:0:1 || - || - || -
|}
 

==== Hemi-Icosahedron ''' [[File:Fig MT proj hemi icosa.PNG|240px]]'''====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| Nan Ma || 12/24/11 || 179
|-
| [[User:Baumann2#eb_115|Eduard Baumann]] || 06/16/2012 || 280
|-
| F0:2:0 || - || - || -
|-
| F0.33:0:1 || - || - || -
|-
| F0.55:0:1 || - || - || -
|-
| F0:2:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0:1:0
| [[User:Baumann#eb_045|Eduard Baumann]] || 05/13/2012 || 67
|-
| Nan Ma || 06/03/2012 || 51
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 94
|-
| E0:1:0.667 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
| [[User:Baumann2#eb_063|Eduard Baumann]] || 05/22/2012 || 105
|-
| Nan Ma || 06/03/2012 || 69
|-
| rowspan="2" | V1.33:0:0
|| Nan Ma || 06/03/2012 || 113
|-
|| [http://astr73.narod.ru/MTiles_solve/aa_epiv_1.33_0_0_184.xml Andrey Astrelin] || 10/03/2012 || 184
|-
| V2:0:0 || - || - || -
|-
| V0:2:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
|| [[User:Baumann2#eb_064|Eduard Baumann]] || 05/22/2012 || 125
|-
| Nan Ma || 06/03/2012 || 94
|-
| rowspan="2" | E0:1:0 V0:0:1
| Nan Ma || 06/03/2012 || 400
|-
| [[User:Baumann5#eb_283|Eduard Baumann]] || 03/26/2013 || 543
|}
 

==== Hemi-Cube ''' [[File:Fig MT proj hemi cube.PNG|240px]]'''====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
| Nan Ma || 02/12/2012 || 10
|-
| [[User:Baumann2#eb_069|Eduard Baumann]] || 05/22/2012 || 3
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 2
|-
| rowspan="2" | F0.67:0:1 (Hemi-Rubik's Cube) || Nan Ma || 02/12/2012 || 6
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 2
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | E1:0:0
| Nan Ma || 02/12/2012 || 16
|-
| [[User:Baumann#eb_048|Eduard Baumann]] || 05/14/2012 || 11
|-
| [[User:Cutelyaware#hce1-0-0|Melinda Green]] || 05/17/2012 || 3
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 10
|-
| rowspan="2" | E0:1:0
|| [[User:Baumann#eb_046|Eduard Baumann]] || 05/13/2012 || 39
|-
| Nan Ma || 06/03/2012 || 59
|-
| E0:1.33:0 || - || - || -
|-
| E0:1.67:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.3:0:0 || Nan Ma || 12/24/11 || 7
|-
| rowspan="3" | V0:0:1
| Nan Ma || 02/13/2012 || 11
|-
| [[User:Baumann2#eb_070|Eduard Baumann]] || 05/22/2012 || 13
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 32
|-
| V2:0:0 || Nan Ma || 06/03/2012 || 13
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:1:0 V1:0:0
| Nan Ma || 02/13/2012 || 15
|-
|[[User:Baumann2#eb_065|Eduard Baumann]] || 05/22/2012 || 29
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 23
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| F-1:0:1 E1:0:0 V1:0:0 || Nan Ma || 02/13/2012 || 83
|}
 

==== Hemi-Dodecahedron ''' [[File:Fig MT proj hemi dodeca.PNG|240px]]'''====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
|| [[User:Baumann2#eb_068|Eduard Baumann]] || 05/22/2012 || 101
|-
| Nan Ma || 06/03/2012 || 55
|-
| F0.67:0:1 (Hemi-Megaminx) || Nan Ma || 06/03/2012 || 254
|-
| F0:2:0 (Hemi-Pyraminx Crystal) || - || - || -
|-
| F2:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann#eb_047|Eduard Baumann]] || 05/14/2012 || 59
|-
| Nan Ma || 06/03/2012 || 39
|-
| E0:1:0 || [[User:Baumann#eb_055|Eduard Baumann]] || 05/20/2012 || 753
|-
| E0:1:0.11 || - || - || -
|-
| E0:1:0.375 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="4" | V1.5:0:0
|| Nan Ma || 12/24/11 || 86
|-
| Roice Nelson || 12/23/11 || 131
|-
| [[User:Baumann#eb_037|Eduard Baumann]] || 05/05/2012 || 205
|-
| [[User:Baumann2#eb_067|Eduard Baumann]] || 05/22/2012 || 99
|-
| V0:0:1 || [[User:Baumann2#eb_116|Eduard Baumann]] || 06/16/2012 || 262
|-
| V2:0:0 || - || - || -
|-
| V0:1:0.5 || - || - || -
|-
| V2:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2"| F0:1:0 V1:0:0
|| [[User:Baumann2#eb_066|Eduard Baumann]] || 05/22/2012 || 125
|-
| Nan Ma || 06/03/2012 || 68
|-
| E0:1:0 V0:0:1 || [[User:Baumann5#eb_285|Eduard Baumann]] || 04/01/2013 || 2365
|-
| F-1:0:1 E1:0:0 V1:0:0 || [[User:Baumann5#eb_284|Eduard Baumann]] || 03/27/2013 || 386
|}
 

== Euclidean ==
 
=== Torus ===
 
==== {3,6} 8-Color ''' [[File:Fig_MT_eucl_torus_3,6_8c.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
| Nan Ma || 12/07/11 || 138
|-
| [[User:Baumann2#eb_120|Eduard Baumann]] || 07/23/2012 || 379
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et36_8_f001_122.xml Andrey Astrelin] || 11/11/2012 || 122
|-
| F0:0:1.2 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | E0:1:0
|| [[User:Baumann#eb_020|Eduard Baumann]] || 04/29/2012 || 49
|-
| Nan Ma || 06/03/2012 || 29
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 46
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et36_8_e010_32.xml Andrey Astrelin] || 11/11/2012 || 32
|-
| E1:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | V0:0:1
| Nan Ma || 06/03/2012 || 41
|-
| [[User:Baumann2#eb_119|Eduard Baumann]] || 07/14/2012 || 42
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et36_8_v001_30.xml Andrey Astrelin] || 11/11/2012 || 30
|-
| V1.33:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_et36_8_v1.33_00_80.xml Andrey Astrelin] || 11/11/2012 || 80

|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:1:0 V1:0:0
| Nan Ma || 06/03/2012 || 69
|-
| [[User:Baumann2#eb_118|Eduard Baumann]] || 07/13/2012 || 101
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et36_8_f010v100_68.xml Andrey Astrelin] || 11/11/2012 || 68
|-
| rowspan="2" | E0:1:0 V0:0:1
| Nan Ma || 06/03/2012 || 299
|-
| [[User:Baumann4#eb_268|Eduard Baumann]] || 02/24/2013 || 282
|}
 

==== {4,4} 8-Color ''' [[File:Fig_MT_eucl_torus_4,4_8c.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | F0:0:1
|| Nan Ma || 06/03/2012 || 63
|-
|| [http://astr73.narod.ru/MTiles_solve/aa_u44_8f_0_0_1_37.xml Andrey Astrelin] || 9/28/2012 || 37
|-
| [[User:Baumann2#eb_188|Eduard Baumann]] || 10/07/2012 || 80
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 90
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="5" | E0:1:0 (Harlequin)
|| [[User:Baumann#eb_028|Eduard Baumann]] || 05/01/2012 || 55
|-
| Nan Ma || 06/03/2012 || 45
|-
| [[User:thermostatico|Raymond Zhao]] || 08/22/2012 || 59
|-
| [http://astr73.narod.ru/MTiles_solve/aa_u44_8e_0_1_0_41.xml Andrey Astrelin] || 9/28/2012 || 41
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 96
|-
| E0:1.41:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | V0:0:1
| Nan Ma || 06/03/2012 || 49
|-
| [[User:Baumann2#eb_121|Eduard Baumann]] || 07/23/2012 || 58
|-
| [http://astr73.narod.ru/MTiles_solve/aa_u44_8v_0_0_1_69.xml Andrey Astrelin] || 9/28/2012 || 69
|-
| V0:0:1.15 || Nan Ma || 12/06/11 || 626
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:1:0 V1:0:0
| Nan Ma || 06/03/2012 || 107
|-
| [[User:Baumann2#eb_126|Eduard Baumann]] || 07/27/2012 || 117
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et44_8_f010v100_91.xml Andrey Astrelin] || 11/11/2012 || 91
|-
| E0:1:0 V0:0:1 || [[User:Baumann4#eb_261|Eduard Baumann]] || 02/16/2013 || 1052
|-
| rowspan="2" | F0.7:0:0 E0.7:0:0 V0.7:0:0
| Nan Ma || 06/03/2012 || 288
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et44_8_m0.7_222.xml Andrey Astrelin] || 11/11/2012 || 222
|-
| F0:1:0 E1:0:0 V1:0:0 || - || - || -
|}
 

==== {4,4} 9-Color ''' [[File: Fig_MT_eucl_torus_4,4_9.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
| [http://astr73.narod.ru/MTiles_solve/aa_et44_9_f0_0_1_102.xml Andrey Astrelin] || 10/09/2012 || 102
|-
| [[User:Baumann2#eb_187|Eduard Baumann]] || 10/07/2012 || 112
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 202
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0:1:0 (Harlequin)
| Nan Ma || 11/04/11 || 56
|-
| [[User:Baumann2#eb_093|Eduard Baumann]] || 05/30/2012 || 81
|-
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_9_e010_90.xml Andrey Astrelin] || 11/11/2012 || 90
|-
| E0:1.41:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
| [[User:Baumann2#eb_122|Eduard Baumann]] || 07/24/2012 || 136
|-
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_9_v001_104.xml Andrey Astrelin] || 11/11/2012 || 104
|-
| V0:0:1.15 || [[User:Baumann5#eb_297|Eduard Baumann]] || 04/13/2013 || 688
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
| [[User:Baumann2#eb_127|Eduard Baumann]] || 07/27/2012 || 124
|-
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_9_f010v100_95.xml Andrey Astrelin] || 11/11/2012 || 95
|-
| E0:1:0 V0:0:1 || [[User:Baumann4#eb_260|Eduard Baumann]] || 02/14/2013 || 946
|-
| rowspan="2" | F0.7:0:0 E0.7:0:0 V0.7:0:0
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_9_m0.7_00_218.xml Andrey Astrelin] || 11/11/2012 || 218
|-
| [[User:Baumann4#eb_262|Eduard Baumann]] || 02/17/2013 || 624
|-
| F0:1:0 E1:0:0 V1:0:0 || - || - || -
|}
 

==== {4,4} 16-Color ''' [[File: Fig_MT_eucl_torus_4,4_16.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| [[User:Baumann2#eb_166|Eduard Baumann]] || 09/21/2012 || 102
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et44_16_f001_116.xml Andrey Astrelin] || 11/11/2012 || 116
|-
| F0.33:0:1 || Nan Ma || 11/05/11 || 1118
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0:1:0 (Harlequin)
|| [[User:Baumann2#eb_094|Eduard Baumann]] || 05/30/2012 || 155
|-
|Nan Ma || 06/06/2012 || 168
|-
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_16_e010_206.xml Andrey Astrelin] || 11/11/2012 || 206
|-
| E0:1.41:0 || [[User:Baumann5#eb_303|Eduard Baumann]] || 04/17/2013 || 2002
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
| [[User:Baumann2#eb_123|Eduard Baumann]] || 07/27/2012 || 123
|-
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_16_v001_162.xml Andrey Astrelin] || 11/11/2012 || 162
|-
| V0:0:1.15 || - || - || -
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
| [[User:Baumann2#eb_128|Eduard Baumann]] || 07/29/2012 || 247
|-
| [http://astr73.narod.ru/MTiles_solve/aa_ut44_16_f010v100_161.xml Andrey Astrelin] || 11/11/2012 || 161
|-
| E0:1:0 V0:0:1 || [[User:Baumann4#eb_259|Eduard Baumann]] || 02/13/2013 || 2208
|-
| F0.7:0:0 E0.7:0:0 V0.7:0:0 || [[User:Baumann4#eb_272|Eduard Baumann]] || 02/28/2013 || 544
|-
| F0:1:0 E1:0:0 V1:0:0 || [[User:Baumann4#eb_273|Eduard Baumann]] || 03/05/2013 || 4735
|}
 

==== {6,3} 7-Color ''' [[File: Fig_MT_eucl_torus_6,3_7.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| [[User:Baumann2#eb_167|Eduard Baumann]] || 09/21/2012 || 234
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et63_7_f001_126.xml Andrey Astrelin] || 11/11/2012 || 126
|-
| rowspan="2" | F0.67:0:1
| Nan Ma || 12/07/11 || 278
|-
| [http://astr73.narod.ru/MTiles_solve/aa_et63_7_f0.67_01_342.xml Andrey Astrelin] || 11/11/2012 || 342
|-
| F0:2:0 || - || - || -
|-
| F2:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann2#eb_095|Eduard Baumann]] || 05/30/2012 || 169
|-
|Nan Ma || 06/06/2012 || 108
|-
| E0:1:0 || Nan Ma || 06/06/2012 || 486
|-
| E2:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann2#eb_124|Eduard Baumann]] || 07/27/2012 || 102
|-
| rowspan="2" | V0:0:1
| [http://astr73.narod.ru/MTiles_solve/aa_et63_7_v001_215.xml Andrey Astrelin] || 11/11/2012 || 215
|-
| [[User:Baumann5#eb_295|Eduard Baumann]] || 04/10/2013 || 246
|-
| V0:0:1.33 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F1:0:0 E1:0:0 || - || - || -
|-
| rowspan="2" | F0:1:0 V1:0:0
| [[User:Baumann2#eb_129|Eduard Baumann]] || 07/29/2012 || 117
|-
| [[User:Baumann4#eb_258|Eduard Baumann]] || 01/12/2013 || 143
|-
| E1:0:0 V1:0:0 || - || - || -
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| F-1:0:1 E1:0:0 V1:0:0 || Nan Ma || 12/12/11 || 579
|}
 

==== {6,3} 16-Color ''' [[File: Fig_MT_eucl_torus_6,3_16.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann2#eb_186|Eduard Baumann]] || 10/07/2012 || 433
|-
| F0.67:0:1 || - || - || -
|-
| F0:2:0 || [http://astr73.narod.ru/MTiles_solve/aa_et63_16_f020_978.xml Andrey Astrelin] || 11/11/2012 || 978
|-
| F2:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || [[User:Baumann2#eb_096|Eduard Baumann]] || 05/30/2012 || 217
|-
| E0:1:0 || [[User:Baumann5#eb_304|Eduard Baumann]] || 04/20/2013 || 1118
|-
| E2:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann2#eb_125|Eduard Baumann]] || 07/27/2012 || 295
|-
| V0:0:1 || [[User:Baumann5#eb_294|Eduard Baumann]] || 04/10/2013 || 672
|-
| V0:0:1.33 || Nan Ma || 12/08/11 || 7051
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F1:0:0 E1:0:0 || [[User:Baumann4#eb_269|Eduard Baumann]] || 02/27/2013 || 277
|-
| rowspan="2" | F0:1:0 V1:0:0
| [[User:Baumann2#eb_130|Eduard Baumann]] || 07/29/2012 || 263
|-
| [[User:Baumann4#eb_257|Eduard Baumann]] || 02/11/2013 || 206
|-
| E1:0:0 V1:0:0 || [[User:Baumann4#eb_270|Eduard Baumann]] || 02/27/2013 || 739
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| F-1:0:1 E1:0:0 V1:0:0 || [[User:Baumann4#eb_271|Eduard Baumann]] || 02/28/2013 || 1043
|}
 

=== Klein Bottle ===
 
==== {3,6} 8-Color ''' [[File:Fig_MT_eucl_klein_3,6_8c.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| [http://astr73.narod.ru/MTiles_solve/aa_ek36_8_f0_0_1_199.xml Andrey Astrelin] || 10/09/2012 || 199
|-
| [[User:Baumann3#eb_213|Eduard Baumann]] || 11/20/2012 || 458
|-
| F0:0:1.2 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0
|| [[User:Baumann#eb_021|Eduard Baumann]] || 04/29/2012 || 95
|-
| [http://astr73.narod.ru/MTiles_solve/aa_uk36_8_e010_52.xml Andrey Astrelin] || 11/20/2012 || 52
|-
| E1:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_ek36_8_e1_0_0_294.xml Andrey Astrelin] || 10/09/2012 || 294
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
| [[User:Baumann2#eb_158|Eduard Baumann]] || 09/14/2012 || 876
|-
| Andrey Astrelin || 09/25/2012 || 199
|-
| V1.33:0:0 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1:0 V1:0:0
|| [[User:Baumann2#eb_131|Eduard Baumann]] || 07/30/2012 || 79
|-
| [http://astr73.narod.ru/MTiles_solve/aa_uk36_8_f010v100_61.xml Andrey Astrelin] || 11/20/2012 || 61
|-
| E0:1:0 V0:0:1 || [[User:Baumann4#eb_267|Eduard Baumann]] || 02/24/2013 || 1846
|}
 

==== {4,4} 9-Color ''' [[File:Fig_MT_eucl_klein_4,4_9c.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| [http://astr73.narod.ru/MTiles_solve/aa_k44_9_f0_0_1.xml Andrey Astrelin] || 10/09/2012 || 98
|-
| [[User:Baumann2#eb_189|Eduard Baumann]] || 10/07/2012 || 116
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0 (Harlequin)
|| [[User:Baumann#eb_029|Eduard Baumann]] || 05/01/2012 || 277
|-
| [http://astr73.narod.ru/MTiles_solve/aa_uk44_9_e010_140.xml Andrey Astrelin] || 11/20/2012 || 140
|-
| E0:1.41:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
|| [[User:Baumann2#eb_157|Eduard Baumann]] || 09/11/2012 || 134
|-
| [http://astr73.narod.ru/MTiles_solve/aa_uk44_9_v001_138.xml Andrey Astrelin] || 11/20/2012 || 138
|-
| V0:0:1.15 || [[User:Baumann5#eb_298|Eduard Baumann]] || 04/13/2013 || 680
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_132|Eduard Baumann]] || 07/30/2012 || 118
|-
| E0:1:0 V0:0:1 || [[User:Baumann4#eb_263|Eduard Baumann]] || 02/19/2013 || 1156
|-
| F0.7:0:0 E0.7:0:0 V0.7:0:0 || - || - || -
|-
| F0:1:0 E1:0:0 V1:0:0 || - || - || -
|}
 

==== {6,3} 9-Color ''' [[File: Fig_MT_eucl_klein_6,3_9.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
|| [[User:Baumann2#eb_168|Eduard Baumann]] || 09/22/2012 || 344
|-
|| [http://astr73.narod.ru/MTiles_solve/aa_uk63_9f_0_0_1_143 Andrey Astrelin] || 9/28/2012 || 143
|-
| F0.67:0:1 || Nan Ma || 11/05/11 || 736
|-
| F0:2:0 || - || - || -
|-
| F2:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || [[User:Baumann2#eb_097|Eduard Baumann]] || 05/31/2012 || 169
|-
| E0:1:0 || - || - || -
|-
| E2:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann2#eb_156|Eduard Baumann]] || 09/11/2012 || 349
|-
| V0:0:1 || [[User:Baumann5#eb_296|Eduard Baumann]] || 04/12/2013 || 535
|-
| V0:0:1.33 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F1:0:0 E1:0:0 || [[User:Baumann4#eb_266|Eduard Baumann]] || 02/23/2013 || 376
|-
| F0.67:0:1 E0:1:0 || Nan Ma || 12/19/11 || 8528
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_134|Eduard Baumann]] || 08/14/2012 || 321
|-
| E1:0:0 V1:0:0 || [[User:Baumann4#eb_264|Eduard Baumann]] || 02/23/2013 || 551
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| F1:0:1 E1:0:0 V1:0:0 || [[User:Baumann4#eb_265|Eduard Baumann]] || 02/24/2013 || 676
|}
 

== Hyperbolic ==
 
=== Klein Quartic ===
 
==== {3,7} 56-Color ''' [[File: Fig_MT_hyp_KQ_3,7_56.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.33:1 || Nan Ma || 11/20/11 || 13050
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0:1:0
| [[User:Cutelyaware#KQ3-7ET|Melinda Green]] || 05/21/2012 || 491
|-
| [[User:Baumann2#eb_109|Eduard Baumann]] || 06/13/2012 || 168
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/26/2012 || 746
|-
| E1:0:0 || Nan Ma || 11/13/11 || 14010
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 ||| [[User:Baumann2#eb_184|Eduard Baumann]] || 10/04/2012 || 824
|-
| V0:0.5:1 || Nan Ma || 11/05/11 || 2053
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.5:0 E0:1:0 || - || - || -
|-
| E0:1:0 V0:0:1 || - || - || -
|-
| rowspan="2" | F0:1:0 V1:0:0 || [[User:Baumann2#eb_138|Eduard Baumann]] || 08/15/2012 || 365
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/26/2012 || 1709
|}
 

==== {7,3} 24-Color ''' [[File:Fig_MT_hyp_KQ_7,3_24.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || - || - || -
|-
|rowspan="2" |
F0.67:0:1 (KQ Classic)
| [[User:Baumann#eb_002|Eduard Baumann]] || 03/13/2011 || 4443
|-
| Nan Ma || 11/?/2010 || B.L.
|-
| F0:2:0 || - || - || -
|-
| F1.2:0:1 || - || - || -
|-
| F2:0:1 || - || - || -
|-
| F0.4:0:1 F0.8:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E1:0:0
| [[User:Cutelyaware#7-3KQ24CE1-0-0MG|Melinda Green]] || 06/08/2012 || 420
|-
| [[User:Baumann2#eb_108|Eduard Baumann]] || 06/13/2012 || 220
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/26/2012 || 1086
|-
| E1.4:0:0 || Nan Ma || 11/07/11 || 1778
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.5:0:0
| Nan Ma || 11/07/11 || 915
|-
| [[User:Baumann2#eb_183|Eduard Baumann]] || 10/04/2012 || 536
|-
| V2:0:0 || [[User:Baumann5#eb_299|Eduard Baumann]] || 04/14/2013 || 1951
|-
| V2.65:0:0 || - || - || -
|-
| V1.3:0:0 V1.6:0:0 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_137|Eduard Baumann]] || 08/15/2012 || 290
|-
| F-1:0:1 E1:0:0 V1:0:0 || Nan Ma || 12/11/11 || 5031
|-
| F1.4:0:0 F1.6:0:0 V1.4:0:0 V1.6:0:0 || - || - || -
|}
 

=== {3,8} 8-Color not orientable ''' [[File: Fig_MT_hyp_3,8_8_no.PNG |240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:1.5:1
|| [[User:Baumann2#eb_133|Eduard Baumann]] || 08/07/2012 || 106
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h38_8_f0_1.5_0_37.xml Andrey Astrelin] || 11/11/2012 || 37
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2"| E0:1:0
|| - || - || -
|-
| - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2" | V0:0:1
|| - || - || -
|-
| - || - || -
|-
|rowspan="2" | V1.3:0:0
|| - || - || -
|-
| - || - || -
|-
|}

==== Mixed Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2" | F0:1:0 V0:0:1
|| [[User:Baumann4#eb_256|Eduard Baumann]] || 02/11/2013 || 1321
|-
| - || - || -
|-
|rowspan="2" | E0:1:0 V1:0:0
|| [[User:Baumann4#eb_274|Eduard Baumann]] || 03/06/2013 || 560
|-
| - || - || -
|-
|}
 

=== {3,8} 10-Color not orientable ''' [[File: Fig_MT_hyp_3,8_10_no.PNG |240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1.5:1 || [[User:Baumann2#eb_182|Eduard Baumann]] || 10/03/2012 || 199
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2"| E0:1:0
| [[User:Baumann2#eb_147|Eduard Baumann]] || 08/16/2012 || 444
|-
| - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2" | V0:0:1
|| [[User:Baumann3#eb_202|Eduard Baumann]] || 10/18/2012 || 176
|-
| - || - || -
|-
|rowspan="2" | V1.3:0:0
|| - || - || -
|-
| - || - || -
|-
|}

==== Mixed Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2" | F0:1:0 V0:0:1
|| [[User:Baumann4#eb_255|Eduard Baumann]] || 02/10/2013 || 1517
|-
| - || - || -
|-
|rowspan="2" | E0:1:0 V1:0:0
|| [[User:Baumann4#eb_275|Eduard Baumann]] || 03/08/2013 || 992
|-
| - || - || -
|-
|}
 

=== {4,5} 5-Color ''' [[File:Fig_MT_hyp_4,5_5c.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [http://astr73.narod.ru/MTiles_solve/aa_h45f_0_0_1_13.xml Andrey Astrelin] || 9/26/2012 || 13
|-
|rowspan="2"| F0:2:0
|| Nan Ma || 12/17/11 || 100
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h45f_0_2_0_57.xml Andrey Astrelin] || 9/26/2012 || 57
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="3"| E0.75:0:0
|| [[User:Baumann#eb_052|Eduard Baumann]] || 05/16/2012 || 11
|-
| Nan Ma || 06/03/2012 || 13
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h45e_0.75_0_0_7.xml Andrey Astrelin] || 9/26/2012 || 7
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | V0:0:1
|| [[User:Baumann#eb_053|Eduard Baumann]] || 05/18/2012 || 2
|-
|Nan Ma || 06/04/2012 || 3
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h45v_0_0_1_4.xml Andrey Astrelin] || 9/26/2012 || 4
|}

==== Mixed Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0.5:0:0 E0.5:0:0
| Nan Ma || 06/03/2012 || 30
|-
| [[User:Baumann2#eb_135|Eduard Baumann]] || 08/14/2012 || 38
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h45m_0.5_0_0_27.xml Andrey Astrelin] || 9/26/2012 || 27
|-
| rowspan="2" | F0:1:0 V1:0:0
|| Nan Ma || 06/03/2012 || 36
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h45m_1_0_0_32.xml Andrey Astrelin] || 9/26/2012 || 32
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

=== {4,6} 6-Color ''' [[File: Fig_MT_hyp_4,6_6c.PNG |240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
|| Nan Ma || 11/09/11 || 12
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h46f_0_0_1_13.xml Andrey Astrelin] || 9/26/2012 || 13
|-
| [[User:Baumann3#eb_223|Eduard Baumann]] || 11/28/2012 || 6
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0
|| [[User:Baumann#eb_054|Eduard Baumann]] || 05/18/2012 || 87
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h46e_0_1_0_73.xml Andrey Astrelin] || 9/26/2012 || 73
|-
| E1:0:0 || - || - || -
|-
| E0:2:0 || - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
|| Nan Ma || 06/03/2012 || 11
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h46v_0_0_1_19.xml Andrey Astrelin] || 9/26/2012 || 19
|-
| V0:2:0 || - || - || -
|}

==== Mixed Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0.5:0:0 E0.5:0:0 || [[User:Baumann2#eb_136|Eduard Baumann]] || 08/14/2012 || 90
|-
| F0:1:0 V1:0:0 || - || - || -
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

=== {5,4} ===
 
==== {5,4} Checkerboard ''' [[File: Fig_MT_hyp_5,4_CB.PNG |240px]]''' ====
----
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="4" | E1:0:0
| Nan Ma || 11/29/11 || 8
|-
| [[User:Baumann#eb_057|Eduard Baumann]] || 05/21/2012 || 43
|-
| [[User:Cutelyaware#5-4CB-E1-0-0|Melinda Green]] || 05/27/2012 || 5
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h54_2e_7.xml Andrey Astrelin] || 9/26/2012 || 7
|-
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
|| Nan Ma || 12/05/11 || 16
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h54_2v_0_0_1_21.xml Andrey Astrelin] || 9/26/2012 || 21
|-
| V2:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_h54_2v_2_0_0_25.xml Andrey Astrelin] || 9/26/2012 || 25

|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 V1:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_h54_2m_49.xml Andrey Astrelin] || 9/26/2012 || 49
|}
 

==== {5,4} 4-Color ''' [[File: Fig_MT_hyp_5,4_4.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
|| Nan Ma || 01/06/12 || 4
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h54_4f_2.xml Andrey Astrelin] || 9/26/2012 || 2
|-
| [[User:Baumann2#eb_180|Eduard Baumann]] || 10/03/2012 || 25
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0.5:0:0 V1:0:0
| Nan Ma || 06/04/2012 || 46
|-
| [[User:Baumann2#eb_107|Eduard Baumann]] || 06/07/2012 || 48
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h54_4m_43.xml Andrey Astrelin] || 9/26/2012 || 43
|}
 

==== {5,4} 6-Color (Non-Orientable) ''' [[File: Fig_MT_hyp_5,4_6_no.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
| Nan Ma || 01/08/12 || 27
|-
| [[User:Baumann2#eb_181|Eduard Baumann]] || 10/03/2012 || 134
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h54_6_f001_81.xml Andrey Astrelin] || 11/15/2012 || 81
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E1:0:0
|| [[User:Baumann#eb_058|Eduard Baumann]] || 05/21/2012 || 553
|-
|Nan Ma || 06/04/2012 || 126
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h54_6_e100_188.xml Andrey Astrelin] || 11/15/2012 || 188
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V2:0:0 || - || - || -
|}
===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

==== {5,4} 12-Color ''' [[File: Fig_MT_hyp_5,4_12.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| Nan Ma || 01/08/12 || 142
|-
| [[User:Baumann2#eb_169|Eduard Baumann]] || 09/22/2012 || 221
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann2#eb_059|Eduard Baumann]] || 05/22/2012 || 717
|-
|Nan Ma || 06/04/2012 || 424
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 V1:0:0 || [[User:Baumann2#eb_197|Eduard Baumann]] || 10/08/2012 || 13004
|}
 

==== {5,4} 12-Color (Non-Orientable) ''' [[File: Fig_MT_hyp_5,4_12_no.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann2#eb_174|Eduard Baumann]] || 09/27/2012 || 137
|-
| F0:0:1.3 || Nan Ma || 12/05/11 || 1364
|-
| F0:0:1.6 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann2#eb_071|Eduard Baumann]] || 05/23/2012 || 163
|-
|Nan Ma || 06/04/2012 || 116
|-
| E0:1:0 || - || - || -
|-
| E0:1.22:0 || - || - || -
|-
| E0:0:1 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.33:0:0 || [[User:Baumann2#eb_152|Eduard Baumann]] || 08/17/2012 || 258
|-
| V0:0:1 || [[User:Baumann4#eb_243|Eduard Baumann]] || 01/10/2013 || 604
|-
| V2:0:0 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 E1:0:0 || [[User:Baumann5#eb_277|Eduard Baumann]] || 03/10/2013 || 966
|-
| E0.5:0:0 V1:0:0 || [[User:Baumann2#eb_105|Eduard Baumann]] || 06/05/2012 || 485
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

==== {5,4} 16-Color (Non-Orientable) ''' [[File: Fig_MT_hyp_5,4_16_no.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| Nan Ma || 01/08/12 || 164
|-
| [[User:Baumann2#eb_171|Eduard Baumann]] || 09/26/2012 || 246
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0.5:0:0 V1:0:0
|| [[User:Baumann2#eb_104|Eduard Baumann]] || 06/04/2012 || 357
|-
|Nan Ma || 06/04/2012 || 444
|}
 

==== {5,4} 24-Color ''' [[File: Fig_MT_hyp_5,4_24.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann2#eb_170|Eduard Baumann]] || 09/23/2012 || 345
|-
| F0:0:1.3 || Nan Ma || 12/06/11 || 2736
|-
| F0:0:1.6 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann2#eb_102|Eduard Baumann]] || 06/03/2012 || 187
|-
|Nan Ma || 06/04/2012 || 256
|-
| E0:1:0 || [[User:Baumann5#eb_278|Eduard Baumann]] || 03/11/2013 || 4438
|-
| E0:1.22:0 || - || - || -
|-
| E0:0:1 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.33:0:0 || [[User:Baumann2#eb_151|Eduard Baumann]] || 08/17/2012 || 598
|-
| V0:0:1 || [[User:Baumann4#eb_238|Eduard Baumann]] || 01/06/2013 || 1476
|-
| V2:0:0 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 E1:0:0 || [[User:Baumann5#eb_276|Eduard Baumann]] || 03/09/2013 || 1711
|-
| E0.5:0:0 V1:0:0 || [[User:Baumann2#eb_103|Eduard Baumann]] || 06/03/2012 || 381
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

=== {5,5} ===
 
==== {5,5} 6-Color (Non-Orientable) ''' [[File: Fig_MT_hyp_5,5_6_no.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || - || - || -
|-
| F0.33:0:1 || - || - || -
|}
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:0:0.5 || [[User:Baumann2#eb_072|Eduard Baumann]] || 05/23/2012 || 215
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.33:0:0 || [[User:Baumann3#eb_203|Eduard Baumann]] || 10/20/2012 || 562
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:0.5 E0.5:0:0 || - || - || -
|-
| F0.5:0:0 E0:0:0.5 || - || - || -
|-
| F0:1:0 V0:1:0 || [[User:Baumann2#eb_073|Eduard Baumann]] || 05/23/2012 || 111
|-
| F0.5:0:0 E0:0:0.5 V0.5:0:0 || - || - || -
|}
 

==== {5,5} 6-Color B (Non-Orientable) ''' [[File: Fig_MT_hyp_5,5_6_noB.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || - || - || -
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|}
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:0:0.5 || [[User:Baumann2#eb_074|Eduard Baumann]] || 05/23/2012 || 213
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.33:0:0 || [[User:Baumann2#eb_199|Eduard Baumann]] || 10/16/2012 || 1096
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:0.5 E0.5:0:0 || - || - || -
|-
| F0.5:0:0 E0:0:0.5 || - || - || -
|-
| F0:1:0 V0:1:0 || [[User:Baumann2#eb_075|Eduard Baumann]] || 05/23/2012 || 88
|-
| F0.5:0:0 E0:0:0.5 V0.5:0:0 || - || - || -
|}
 

=== {6,4} 8-Color ''' [[File: Fig_MT_hyp_6,4_8.PNG |240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0:0:1
| Nan Ma || 11/09/11 || 43
|-
| [[User:Baumann2#eb_173|Eduard Baumann]] || 09/27/2012 || 41
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/25/2012 || 46
|-
| F0:0:1.3 || - || - || -
|-
| F0:1.93:0 || - || - || -
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="3" | E1:0:0
| Nan Ma || 04/27/12 || 93
|-
|[[User:Baumann2#eb_076|Eduard Baumann]] || 05/24/2012 || 115
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/25/2012 || 166
|-
| E0:1:0 ||| [[User:Baumann2#eb_146|Eduard Baumann]] || 08/15/2012 || 134
|-
| E0:1.1:0 || - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:1:0
| Nan Ma || 04/27/12 || 117
|-
| [[User:Baumann2#eb_185|Eduard Baumann]] || 10/07/2012 || 110
|-
| V0:0:1 || - || - || -
|-
| V2:0:0 || - || - || -
|}

==== Mixed Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F1:0:0 E0.5:0:0 || [[User:Baumann2#eb_077|Eduard Baumann]] || 05/25/2012 || 232
|-
| F1:0:0 E1:0:0 || - || - || -
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_078|Eduard Baumann]] || 05/25/2012 || 201
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

=== {8,3} ===
 
==== {8,3} 6-Color ''' [[File: Fig_MT_hyp_8,3_6.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0.67:0:1
| [http://astr73.narod.ru/MTiles_solve/aa_h83_6f_0.67_0_1_119.xml Andrey Astrelin] || 9/27/2012 || 119
|-
| [[User:Baumann3#eb_218|Eduard Baumann]] || 11/24/2012 || 328
|-
| [[User:Schuma|Nan Ma]] || 11/25/2012 || 90
|-
| F0:2:0 || [[User:Schuma|Nan Ma]] || 11/25/2012 || 88
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E1:0:0
|| [[User:Baumann2#eb_079|Eduard Baumann]] || 05/25/2012 || 261
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h83_6e_1_0_0_125.xml Andrey Astrelin] || 9/27/2012 || 125
|-
| [[User:Schuma|Nan Ma]] || 11/25/2012 || 138
|-
| rowspan="2" | E1.4:0:0
|| [http://astr73.narod.ru/MTiles_solve/aa_h83_6e_1.4_0_0_587.xml Andrey Astrelin] || 9/27/2012 || 587
|-
| [[User:Baumann4#eb_247|Eduard Baumann]] || 01/16/2013 || 560
|-
| E1.75:0:0 || - || - || -
|-
| E0:1:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.5:0:0
| [http://astr73.narod.ru/MTiles_solve/aa_h83_6v_1.5_0_0_87.xml Andrey Astrelin] || 9/27/2012 || 87
|-
| [[User:Baumann2#eb_198|Eduard Baumann]] || 10/16/2012 || 101
|-
| V0:1:0 || [[User:Baumann4#eb_242|Eduard Baumann]] || 01/09/2013 || 265
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_080|Eduard Baumann]] || 05/25/2012 || 130
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

==== {8,3} 8-Color ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | F0.67:0:1
| Nan Ma || 01/08/12 || 640
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h83_8f_0.67_0_1_439.xml Andrey Astrelin] || 9/27/2012 || 439
|-
| [[User:Baumann3#eb_215|Eduard Baumann]] || 11/21/2012 || 1270
|}
 

==== {8,3} 10-Color ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0.67:0:1
| [http://astr73.narod.ru/MTiles_solve/aa_h83_10f_0.67_0_1.xml Andrey Astrelin] || 9/27/2012 || 583
|-
| [[User:Baumann3#eb_212|Eduard Baumann]] || 11/16/2012 || 1004
|}
 

==== {8,3} 12-Color ''' [[File: Fig_MT_hyp_8,3_12.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0.67:0:1 || [[User:Baumann3#eb_209|Eduard Baumann]] || 11/10/2012 || 1508
|-
| F0:2:0 || - || - || -
|-
| F2:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || [[User:Baumann2#eb_081|Eduard Baumann]] || 05/25/2012 || 253
|-
| E1.4:0:0 || [[User:Baumann4#eb_246|Eduard Baumann]] || 01/15/2013 || 758
|-
| E1.75:0:0 || - || - || -
|-
| E0:1:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann2#eb_153|Eduard Baumann]] || 08/25/2012 || 315
|-
| V0:1:0 || [[User:Baumann4#eb_241|Eduard Baumann]] || 01/08/2013 || 967
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_082|Eduard Baumann]] || 05/26/2012 || 543
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

==== {8,3} 12-Color B ''' [[File: Fig_MT_hyp_8,3_12B.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0.67:0:1
|| [[User:Baumann3#eb_210|Eduard Baumann]] || 10/12/2012 || 2480
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h83_12b_f0.67_01_844.xml Andrey Astrelin] || 11/16/2012 || 844
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann2#eb_083|Eduard Baumann]] || 05/29/2012 || 497
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h83_12b_e100_198.xml Andrey Astrelin] || 11/16/2012 || 198
|-
| E1.4:0:0 || [[User:Baumann4#eb_245|Eduard Baumann]] || 01/13/2013 || 1160
|-
| E1.75:0:0 || - || - || -
|-
| E0:1:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.5:0:0
|| [[User:Baumann2#eb_155|Eduard Baumann]] || 09/01/2012 || 339
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h83_12b_v1.5_00_289.xml Andrey Astrelin] || 11/16/2012 || 289
|-
| V0:1:0 || [[User:Baumann4#eb_240|Eduard Baumann]] || 01/08/2013 || 856
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_084|Eduard Baumann]] || 05/29/2012 || 620
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

==== {8,3} 24-Color ''' [[File: Fig_MT_hyp_8,3_24.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0.67:0:1 || [[User:Baumann3#eb_211|Eduard Baumann]] || 11/15/2012 || 3712
|-
| F0:2:0 || - || - || -
|-
| F2:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || [[User:Baumann2#eb_148|Eduard Baumann]] || 08/16/2012 || 202
|-
| E1.4:0:0 || [[User:Baumann4#eb_244|Eduard Baumann]] || 01/12/2013 || 1294
|-
| E1.75:0:0 || - || - || -
|-
| E0:1:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann2#eb_154|Eduard Baumann]] || 08/28/2012 || 370
|-
| V0:1:0 || [[User:Baumann4#eb_239|Eduard Baumann]] || 01/07/2013 || 1986
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1:0 V1:0:0 || [[User:Baumann2#eb_142|Eduard Baumann]] || 08/15/2012 || 608
|-
| E0:1:0 V0:0:1 || - || - || -
|}
 

=== {8,4} ===
 
==== {8,4} 5-Color ''' [[File:8-4-5C-E1-0-0MG.png|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:thermostatico|Raymond Zhao]] || 23/08/2012 || 18
|-
| F0:0:1.2 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="4" | E1:0:0
| [[User:Cutelyaware#8-4-5C-E1-0-0MG|Melinda Green]] || 05/31/2012 || 79
|-
| Nan Ma || 06/02/2012 || 49
|-
| [[User:Baumann2#eb_161|Eduard Baumann]] || 09/19/2012 || 152
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h84_5_e_75.xml Andrey Astrelin] || 10/05/2012 || 75
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || - || - || -
|}
===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 V1:0:0 || - || - || -
|-
| F0:0.85:0 E0.5:0:0 || [[User:Baumann2#eb_143|Eduard Baumann]] || 08/15/2012 || 63
|}
 

==== {8,4} 9-Color ''' [[File:8-4-9C-E1-0-0.png|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
|| [[User:Baumann3#eb_214|Eduard Baumann]] || 11/20/2012 || 639
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h84_9_f001_65.xml Andrey Astrelin] || 11/20/2012 || 65
|-
| F0:0:1.2 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="4" | E1:0:0
|| [[User:Cutelyaware#8-4-9C-E1-0-0MG|Melinda Green]] || 06/01/2012 || 347
|-
| Nan Ma || 06/02/2012 || 147
|-
| [[User:Baumann2#eb_150|Eduard Baumann]] || 08/17/2012 || 290
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h84_9_e_168.xml Andrey Astrelin] || 10/05/2012 || 168
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann5#eb_292|Eduard Baumann]] || 04/07/2013 || 262
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 V1:0:0 || - || - || -
|-
| F0:0.85:0 E0.5:0:0 || [[User:Baumann2#eb_144|Eduard Baumann]] || 08/15/2012 || 197
|}
 

==== {8,4} 10-Color [[File:3-10-10C-E1-0-0MG.png‎ |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann2#eb_172|Eduard Baumann]] || 09/26/2012 || 62
|-
| F0:0:1.2 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="4" | E1:0:0
|| [[User:Cutelyaware#8-4-10C-E1-0-0|Melinda Green]] || 05/30/2012 || 87
|-
| Nan Ma || 06/02/2012 || 67
|-
| [[User:Baumann2#eb_149|Eduard Baumann]] || 08/16/2012 || 86
|-
| [http://astr73.narod.ru/MTiles_solve/aa_h84_10_e_51.xml Andrey Astrelin] || 10/05/2012 || 51
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Baumann5#eb_291|Eduard Baumann]] || 04/06/2013 || 342
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 V1:0:0 || - || - || -
|-
| F0:0.85:0 E0.5:0:0 || [[User:Baumann2#eb_145|Eduard Baumann]] || 08/15/2012 || 163
|}
 

=== {10,3} ===
 
==== {10,3} 3-Color ''' [[File:Fig_MT_hyp_10,3_3c.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || - || - || -
|-
| F0.67:0:1 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || - || - || -
|-
| E1.4:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || - || - || -
|}
===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.85:0 E1:0:0 || - || - || -
|-
| F0.67:0:1 V1:0:0 || - || - || -
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

==== {10,3} 6-Color (non orientable) ''' [[File:Fig_MT_hyp_10,3_6.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || - || - || -
|-
| F0.67:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || - || - || -
|-
| E1.4:0:1 || - || - || -
|-
| E1.75:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || - || - || -
|-
| V2:0:1 || - || - || -
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.85:0 E1:0:0 || - || - || -
|-
| F0.67:0:1 V1:0:0 || - || - || -
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

==== {10,3} 12-Color (Dodecahedron) ''' [[File:Versu.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || - || - || -
|-
| F0.67:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || - || - || -
|-
| E1.4:0:1 || - || - || -
|-
| E1.75:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || - || - || -
|-
| V2:0:1 || - || - || -
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.85:0 E1:0:0 || - || - || -
|-
| F0.67:0:1 V1:0:0 || - || - || -
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

==== {10,3} 18-Color ''' [[File:Fig_MT_hyp_10,3_18.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann6#eb_309|Eduard Baumann]] || 11/16/2013 || 990
|-
| F0.67:0:1 || [http://cardiizastrograda.com/astr/MTsolve/aa_10_3_18_f067_0_1_2680.xml Andrey Astrelin] || 11/16/2013 || 2680
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || - || - || -
|-
| E1.4:0:1 || - || - || -
|-
| E1.75:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || - || - || -
|-
| V2:0:1 || - || - || -
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.85:0 E1:0:0 || - || - || -
|-
| F0.67:0:1 V1:0:0 || - || - || -
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

==== {10,3} 36-Color ''' [[File:Fig_MT_hyp_10,3_36.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [http://cardiizastrograda.com/astr/MTsolve/aa_10_3_36_f001_2518.xml Andrey Astrelin] || 11/15/2013 || 2518
|-
| F0.67:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || - || - || -
|-
| E1.4:0:1 || - || - || -
|-
| E1.75:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || - || - || -
|-
| V2:0:1 || - || - || -
|-
| V0:0:1 || - || - || -
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.85:0 E1:0:0 || - || - || -
|-
| F0.67:0:1 V1:0:0 || - || - || -
|-
| E1:0:0 V1:0:0 || - || - || -
|}
 

=== G4GX {4,10} ===
 
==== G4GX {4,10} CB ''' [[File: Fig_MT_hyp_G4GX_4,10_CB.PNG |240px]]''' ====
----
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0.5:0:0 || [[User:Baumann2#eb_098|Eduard Baumann]] || 05/31/2012 || 7
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 14

|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 40
|-
| V1.35:0:0 || - || - || -
|}
 

==== G4GX {4,10} 5 no ''' [[File: Fig_MT_hyp_G4GX_4,10_5_no.PNG |240px]]''' ====
----
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2" | E0.5:0:0
|| [[User:Baumann2#eb_099|Eduard Baumann]] || 05/31/2012 || 81
|-
| Nan Ma || 06/02/2012 || 73
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || - || - || -
|-
| V1.35:0:0 || - || - || -
|}
 

=== G4GX {10,4} ===
 
==== G4GX {10,4} CB ''' [[File: Fig_MT_hyp_G4GX_10,4_CB.PNG |240px]]''' ====
----
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" |E1:0:0 || [[User:Baumann2#eb_100|Eduard Baumann]] || 05/31/2012 || 19
|-
| [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 46

|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.5:0:0 || [[User:Zagorec|Damjan Zagorec]] || 10/23/2012 || 32
|}
 

==== G4GX {10,4} 6 no ''' [[File: Fig_MT_hyp_G4GX_10,4_6_no.PNG |240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [http://astr73.narod.ru/MTiles_solve/aa_hX4_6f_79.xml Andrey Astrelin] || 10/05/2012 || 79
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="3" | E1:0:0
|| [[User:Baumann2#eb_101|Eduard Baumann]] || 06/02/2012 || 551
|-
| Nan Ma || 06/02/2012 || 383
|-
| [http://astr73.narod.ru/MTiles_solve/aa_hX4_6e_190.xml Andrey Astrelin] || 10/05/2012 || 190
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.5:0:0
| [http://astr73.narod.ru/MTiles_solve/aa_hX4_6v_150.xml Andrey Astrelin] || 10/05/2012 || 150
|-
| [[User:Baumann3#eb_201|Eduard Baumann]] || 10/17/2012 || 256
|}

===== Mixed Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F-1:0:1 V1.5:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_hX4_6m_fv_989.xml Andrey Astrelin] || 10/05/2012 || 989
|-
| F-1:0:1 E1:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_hX4_6m_fe_798.xml Andrey Astrelin] || 10/05/2012 || 798
|}
 

==== G4GX {10,4} 8 colors ''' [[File: Fig_MT_hyp_G4GX_10,4_8.PNG |240px]]''' ====
----
===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann2#eb_114|Eduard Baumann]] || 06/16/2012 || 178
|-
| [http://astr73.narod.ru/MTiles_solve/aa_hX4_8e_162.xml Andrey Astrelin] || 5/10/2012 || 162
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.5:0:0
| [http://astr73.narod.ru/MTiles_solve/aa_hX4_8v_88.xml Andrey Astrelin] || 9/26/2012 || 88
|-
| [[User:Baumann3#eb_200|Eduard Baumann]] || 10/16/2012 || 152
|}

===== Mixes Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F-1:0:1 V1.5:0:0 || [http://astr73.narod.ru/MTiles_solve/aa_hX4_8m_fv_588.xml Andrey Astrelin] || 9/26/2012 || 588
|-
| F-1:0:1 E1:0:0 || - || - || -
|}
 

=== Large Polygons ===
 

==== {20,3} 3-Color ''' [[File:Fig_MT_hyp_20,3_3.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1.1 || [http://cardiizastrograda.com/astr/MTsolve/hlp_20_3_3c_2.xml Andrey Astrelin] || 8/22/2013 || 2
|}

==== {21,3} 4-Color ''' [[File:Fig_MT_hyp_21,3_4.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1.1 || [http://cardiizastrograda.com/astr/MTsolve/hlp_21_3_4c_60.xml Andrey Astrelin] || 8/22/2013 || 60
|}

==== {32,3} 3-Color ''' [[File:Fig_MT_hyp_32,3_3.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1.1 || [http://cardiizastrograda.com/astr/MTsolve/hlp_32_3_3c_2.xml Andrey Astrelin] || 8/22/2013 || 2
|}

==== {32,3} 6-Color ''' [[File:Fig_MT_hyp_32,3_6.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1.1 || [http://cardiizastrograda.com/astr/MTsolve/hlp_32_3_6c_142.xml Andrey Astrelin] || 8/22/2013 || 142 |}

== Infinite Regular Polyhedra ==
 
=== {3,7} 56-Color [[File:3756E0,1.0.png|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0.33:1 || - || - || -
|}
==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="2" | E0:1:0'''
| [[User:Cutelyaware#IRP3-7ET|Melinda Green]]||5/10/2012||3547
|-
| Nan Ma || 5/11/2012 || 965
|-
| E1:0:0 || - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_196|Eduard Baumann]] || 10/13/2012 || 909
|-
| V0:0.5:1 || - || - || -
|}
 

 

=== {3,9} ===
 

==== {3,9}a 36-Color [[File:3-9a36C-E0.1.0.png|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1.5:0 || [[User:Baumann2#eb_175|Eduard Baumann]] || 09/28/2012 || 560
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
|rowspan="3" | E0:1:0
| Melinda Green || 05/14/2012 || 1141
|-
| Nan Ma || 05/15/2012 || 439
|-
| [[User:Baumann2#eb_113|Eduard Baumann]] || 06/15/2012 || 260
|-
| E0.5:0:0 || [[User:Baumann5#eb_287|Eduard Baumann]] || 04/02/2013 || 584
|-
| E1:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_195|Eduard Baumann]] || 10/11/2012 || 503
|-
| V0:0.5:1 || [[User:Baumann5#eb_300|Eduard Baumann]] || 04/15/2013 || 1398
|}
 

==== {3,9}b 24-Color''' [[File:3.9b.png|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1.5:0 || [[User:Baumann2#eb_176|Eduard Baumann]] || 09/28/2012 || 324
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0
| [[User:cutelyaware#39b24et|Melinda Green]] || 05/12/2012 || 333
|-
| [[User:Baumann2#eb_112|Eduard Baumann]] || 06/14/2012 || 136
|-
| E0.5:0:0 || [[User:Baumann5#eb_286|Eduard Baumann]] || 04/01/2013 || 406
|-
| E1:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_194|Eduard Baumann]] || 10/11/2012 || 450
|-
| V0:0.5:1 || [[User:Baumann5#eb_301|Eduard Baumann]] || 04/16/2013 || 1029
|}
 

==== {3,9}c 24-Color ''' [[File:3-9c.png|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:1.5:0 || [[User:Baumann2#eb_177|Eduard Baumann]] || 10/01/2012 || 239
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0
| [[User:cutelyaware#3-9c24CE0-1-0|Melinda Green]] || 05/20/2012 || 231
|-
| [[User:Baumann2#eb_111|Eduard Baumann]] || 06/14/2012 || 184
|-
| E0.5:0:0 || [[User:Baumann5#eb_288|Eduard Baumann]] || 04/03/2013 || 406
|-
| E1:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_193|Eduard Baumann]] || 10/09/2012 || 371
|-
| V0:0.5:1 || [[User:Baumann5#eb_302|Eduard Baumann]] || 04/16/2013 || 1106
|}
 

=== {4,5} ===
 

==== {4,5}a 30-Color [[File:5-4a30CE.75-0-0.png|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann3#eb_208|Eduard Baumann]] || 11/05/2012 || 1252
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0.75:0:0
|| [[User:Cutelyaware#4-5a30CE.75-0-0|Melinda Green]] || 06/5/2012 || 230
|-
|Nan Ma || 06/06/2012 || 236
|-
| [[User:Baumann2#eb_110|Eduard Baumann]] || 06/14/2012 || 142
|-
| E2.2:0:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_192|Eduard Baumann]] || 10/09/2012 || 427
|-
| V1.5:0:0 || - || - || -
|-
| V2.2:0:0 || - || - || -
|}
 
 

==== {4,5}b 30-Color ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann3#eb_207|Eduard Baumann]] || 11/02/2012 || 2393
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0.75:0:0
| Melinda Green || 05/12/2012 || 529
|-
| [[User:Baumann2#eb_106|Eduard Baumann]] || 06/06/2012 || 211
|-
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_190|Eduard Baumann]] || 10/08/2012 || 410
|}
 

=== {4,6} ===
 
==== {4,6} 12-Color ''' [[File:Fig_MT_IRP_4,6_12.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| Nan Ma || 11/07/11 || 378
|-
| [[User:Baumann#eb_042|Eduard Baumann]] || 05/09/2012 || 20919
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_027|Eduard Baumann]] || 05/01/2012 || 99
|-
| E1:0:0 || [[User:Baumann5#eb_290|Eduard Baumann]] || 04/05/2013 || 1146
|-
| E0:2:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_031|Eduard Baumann]] || 05/02/2012 || 105
|-
| V0:2:0 || Nan Ma || 12/14/11 || 382
|}
 

==== {4,6}b 12-Color ''' [[File:Fig_MT_IRP_4,6b_12.PNG|240px]]''' ====
----
===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann2#eb_117|Eduard Baumann]] || 06/18/2012 || 1598
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_032|Eduard Baumann]] || 05/02/2012 || 131
|-
| E1:0:0 || [[User:Baumann5#eb_280|Eduard Baumann]] || 03/14/2013 || 944
|-
| E0:2:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_033|Eduard Baumann]] || 05/04/2012 || 1192
|-
| V0:2:0 || [[User:Baumann5#eb_293|Eduard Baumann]] || 04/09/2013 || 3152
|}
 

==== {4,6}c 18-Color ''' [[File:Fig_MT_IRP_4,6c_18.PNG|240px]]''' ====
----

===== Face Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann3#eb_206|Eduard Baumann]] || 10/28/2012 || 932
|-
| F0:2:0 || - || - || -
|}

===== Edge Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_040|Eduard Baumann]] || 05/07/2012 || 187
|-
| E1:0:0 || [[User:Baumann4#eb_254|Eduard Baumann]] || 02/09/2013 || 2512
|-
| E0:2:0 || - || - || -
|}

===== Vertex Twisting =====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_041|Eduard Baumann]] || 05/09/2012 || 697
|-
| V0:2:0 || [[User:Baumann5#eb_289|Eduard Baumann]] || 04/08/2013 || 1896
|}
 

=== {5,5} 8-Color ''' [[File:Fig_MT_IRP_5,5_8.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:0.85
| [[User:Baumann#eb_007|Eduard Baumann]] || 04/23/2012 || 2978
|-
| Nan Ma || 04/24/2012 || 142
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0:0:0.5
| [[User:Baumann#eb_006|Eduard Baumann]] || 04/20/2012 || 51
|-
| Nan Ma || 04/24/2012 || 59
|-
| Melinda Green || 05/11/2012 || 67
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V1.33:0:0
| Nan Ma || 04/24/2012 || 186
|-
| [[User:Baumann2#eb_191|Eduard Baumann]] || 10/09/2012 || 137
|}
 

=== {6,4} 8-Color ''' [[File:Fig_MT_IRP_6,4_8.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann#eb_015|Eduard Baumann]] || 04/26/2012 || 32
|-
| F0:0:1.3 || Nan Ma || 12/14/11 || 282
|-
| F0:1.93:0 || - || - || -
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E1:0:0 || [[User:Baumann#eb_024|Eduard Baumann]] || 04/30/2012 || 165
|-
| E0:1:0 || [[User:Baumann5#eb_279|Eduard Baumann]] || 03/12/2013 || 1752
|-
| E0:1.1:0 || - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:1:0 || Nan Ma || 11/06/11 || 172
|-
| V0:0:1 || [[User:Baumann#eb_025|Eduard Baumann]] || 04/30/2012 || 171
|-
| V2:0:0 || - || - || -
|}
 

=== {6,6} 4-Color ''' [[File:664E0,7.0.0.png|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || Nan Ma || 12/17/11 || 71
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="3" | E0.7:0:0
|| [[User:Baumann#eb_005|Eduard Baumann]] || 04/08/12 || 107
|-
| Nan Ma || 04/09/12 || 49
|-
| [[User:Cutelyaware#6-6-4CE.7-0-0MG|Melinda Green]] || 06/08/12 || 32
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V1.33:0:0 || Nan Ma || 11/07/11 || 23
|-
| V0:0:1 || [[User:Baumann#eb_009|Eduard Baumann]] || 04/25/2012 || 922
|}

== 4D Skew Polyhedra ==
 
=== {4,4|3} 9-Color (Duoprism) ''' [[File:Fig_MT_skew_4,4-3_9c_V_0-0-1.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| [[User:Baumann#eb_016|Eduard Baumann]] || 04/27/2012 || 395
|-
| Nan Ma || 04/27/2012 || 89
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E0:1:0
| Nan Ma || 04/27/2012 || 81
|-
| [[User:Baumann#eb_017|Eduard Baumann]] || 04/28/2012 || 128
|-
| E0:1.41:0 || [[User:Baumann4#eb_249|Eduard Baumann]] || 01/31/2013 || 1696
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | V0:0:1
| Nan Ma || 04/27/2012 || 127
|-
| [[User:Baumann#eb_018|Eduard Baumann]] || 04/28/2012 || 219
|-
| V0:0:1.15 || [[User:Baumann3#eb_233|Eduard Baumann]] || 12/27/2012 || 836
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}
 

=== {4,4|4} 16-Color (Duoprism) ''' [[File:Fig_MT_skew_4,4-4_16c.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann#eb_022|Eduard Baumann]] || 04/30/2012 || 181
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_023|Eduard Baumann]] || 04/30/2012 || 255
|-
| E0:1.41:0 || [[User:Baumann4#eb_251|Eduard Baumann]] || 02/03/2013 || 1768
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_019|Eduard Baumann]] || 04/28/2012 || 257
|-
| V0:0:1.15 || [[User:Baumann3#eb_232|Eduard Baumann]] || 12/27/2012 || 1290
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}
 

=== {4,4|5} 25-Color (Duoprism) ''' [[File:Fig_MT_skew_4,4-5_25c.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann#eb_026|Eduard Baumann]] || 05/01/2012 || 811
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_030|Eduard Baumann]] || 05/02/2012 || 537
|-
| E0:1.41:0 || [[User:Baumann4#eb_250|Eduard Baumann]] || 02/02/2013 || 4306
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_034|Eduard Baumann]] || 05/04/2012 || 1221
|-
| V0:0:1.15 || [[User:Baumann3#eb_231|Eduard Baumann]] || 12/26/2012 || 2760
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}
 

=== {4,4|6} 36-Color (Duoprism)''' [[File:Fig_MT_skew_4%2C4-6_36c_V_0-0-1b.PNG|240px]]''' ===
----

==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann#eb_035|Eduard Baumann]] || 05/04/2012 || 539
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_035|Eduard Baumann]] || 05/05/2012 || 1091
|-
| E0:1.41:0 || [[User:Baumann4#eb_252|Eduard Baumann]] || 02/05/2013 || 5194
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_043|Eduard Baumann]] || 05/12/2012 || 643
|-
| V0:0:1.15 || [[User:Baumann3#eb_234|Eduard Baumann]] || 12/28/2012 || 3732
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}
 

=== {4,4|7} 49-Color (Duoprism) ''' [[File:Fig_MT_skew_4,4-7_49c.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 ||| [[User:Baumann2#eb_179|Eduard Baumann]] || 10/02/2012 || 838
|-
| F0.33:0:1 || - || - || -
|-
| F0:2:0 || - || - || -
|-
| F0:2.24:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_050|Eduard Baumann]] || 05/15/2012 || 935
|-
| E0:1.41:0 || [[User:Baumann4#eb_248|Eduard Baumann]] with great help of Nan || 01/26/2013 || 7578
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann#eb_039|Eduard Baumann]] || 05/06/2012 || 3455
|-
| V0:0:1.15 || [[User:Baumann3#eb_235|Eduard Baumann]] || 12/30/2012 || 5874
|-
| V2:0:0 || - || - || -
|-
| V0:0:2 || - || - || -
|}
 

=== {4,6|3} 30-Color (Runcinated 5-cell) ''' [[File:Fig_MT_skew_4,6-3_30c.PNG|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| F0:0:1 || [[User:Baumann3#eb_205|Eduard Baumann]] || 10/25/2012 || 1558
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| E0:1:0 || [[User:Baumann#eb_051|Eduard Baumann]] || 05/16/2012 || 481
|-
| rowspan="2" | E1:0:0
|| [[User:Baumann3#eb_227|Eduard Baumann]] || 12/12/2012 || 6518
|-
| [http://astr73.narod.ru/MTiles_solve/aa_463_30col_e100_3000.xml Andrey Astrelin] || 12/13/2012 || 3000
|-
| E0:2:0 || - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:0:1 || [[User:Baumann2#eb_159|Eduard Baumann]] || 09/19/2012 || 744
|-
| V0:2:0 || [[User:Baumann3#eb_236|Eduard Baumann]] || 01/01/2013 || 3754
|}
 

=== {6,4|3} 20-Color (Bitruncated 5-cell) ''' [[File:6-4-3-20CE1.0.0.png|240px]]''' ===
----
==== Face Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | F0:0:1
| Andrey Astrelin || 3/6/2012 || 890
|-
| [[User:Baumann2#eb_178|Eduard Baumann]] || 10/02/2012 || 594
|-
| F0:0:1.3 || [[User:Baumann4#eb_253|Eduard Baumann]] || 02/08/2013 || 3956
|-
| F0:1.93:0 || - || - || -
|-
| F0:2:0 || - || - || -
|}

==== Edge Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| rowspan="2" | E1:0:0
| [[User:Cutelyaware#6-4-3-20CE1-0-0MG|Melinda Green]] || 05/15/2012 || 551
|-
| [[User:Baumann#eb_056|Eduard Baumann]] || 05/20/2012 || 523
|-
| E0:1:0 || [[User:Baumann4#eb_237|Eduard Baumann]] || 01/04/2013 || 16878
|-
| E0:1.1:0 || - || - || -
|}

==== Vertex Twisting ====
{|border="1" style="text-align:center;"
! style="color:green; width:250px;" | Puzzle
! style="color:green; width:250px;" | Solver
! style="color:green; width:250px;" | Date
! style="color:green; width:250px;" | Number of twists
|-
| V0:1:0 || [[User:Baumann2#eb_160|Eduard Baumann]] || 09/19/2012 || 578
|-
| V0:0:1 || [[User:Baumann3#eb_229|Eduard Baumann]] || 12/16/2012 || 1702
|-
| V2:0:0 || [[User:Baumann3#eb_230|Eduard Baumann]] || 12/24/2012 || 51244
|}