Difference between revisions of "KQ Documents"

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Line 11: Line 11:
 
11 '''11''' 11 '''11''' 11 '''11'''
 
11 '''11''' 11 '''11''' 11 '''11'''
 
bold = counter clock
 
bold = counter clock
[[File:Edba_kq_macro_1.png
+
 
 +
[[File:Edba_kq_macro_1.png]]
  
 
Sequence 2
 
Sequence 2
  
 
alternate first and second color twist to get a pair of vertex-turns
 
alternate first and second color twist to get a pair of vertex-turns
'''2'''1 '''11''' 3'''1''' '''1'''1 '''2'''1 1'''1''' 1'''1''' 11 1'''1''' '''1'''1 1'''1''' '''2'''1 '''1'''1 '''11''' 2'''1''' 11 '''3'''1 1'''1''' 2'''1''' 11 '''11''' 11 '''1'''
+
'''2'''1 '''11''' 3'''1''' '''1'''1 '''2'''1 1'''1''' 1'''1''' 11 1'''1''' '''1'''1 1'''1'''  
 +
'''2'''1 '''1'''1 '''11''' 2'''1''' 11 '''3'''1 1'''1''' 2'''1''' 11 '''11''' 11 '''1'''
 +
 
 
bold = counter clock
 
bold = counter clock
 
[[File:Edba_kq_macro_2.png]]
 
[[File:Edba_kq_macro_2.png]]

Revision as of 13:03, 13 March 2011

Tips for solving the Klein's Quartic length 3

Strategy

 (a) solve the edges with simple commutators
 (b) solve the vertices with the two sequences below
     (with eventual pre- and post-paration; adjunction)

Sequence 1

alternate first and second color twist to get a pair of vertex exchanges 11 11 11 11 11 11 bold = counter clock

Edba kq macro 1.png

Sequence 2

alternate first and second color twist to get a pair of vertex-turns 21 11 31 11 21 11 11 11 11 11 11 21 11 11 21 11 31 11 21 11 11 11 1

bold = counter clock Edba kq macro 2.png