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Comments for solving the 3-sliced pentachoron
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=Tips for solving the pentachoron with edge length 3=
 
   
 
   
Without any macros and commutators you can do the 5 faces with 4 differently colored octahedra. Then the 5 fourcolored corners can be done with slice 3 twists only.
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You can solve the 5 face pieces (4 differently colored octahedra) without the need of macros or commutators. The 5 four-colored corners can be solved only using slice 3 twists. Finally comes the hard part, solving the 10 three-colored edge pieces.
After that you have to handle the 10 threecolored edges.
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Most commutators of 2-sclice twists have only effects on the edges.
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Most commutators of 2-slice twists only have effects on the edge pieces. With that you can place all edge pieces in their correct location, possibly flipped.
With that you can place all edges.
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After that the two macros of Matthiew "flip" and "turn" are very helpfull.
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After that Matthew's [[3_3_3_FlipAndTurnMacros|"flip" and "turn"]] macros are very helpful in properly orienting the edge pieces.
 
   
 
   
 
Here is an illustration of these macros, their references r1 to r3 and their effect.
 
Here is an illustration of these macros, their references r1 to r3 and their effect.
  
[[File:macro_illustr.png|200px|thumb|left|macros for 5-cell]]
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[[File:Macroillustr.PNG]]
 
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and here is the macro file
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Latest revision as of 11:33, 18 February 2011

Tips for solving the pentachoron with edge length 3

You can solve the 5 face pieces (4 differently colored octahedra) without the need of macros or commutators. The 5 four-colored corners can be solved only using slice 3 twists. Finally comes the hard part, solving the 10 three-colored edge pieces.

Most commutators of 2-slice twists only have effects on the edge pieces. With that you can place all edge pieces in their correct location, possibly flipped.

After that Matthew's "flip" and "turn" macros are very helpful in properly orienting the edge pieces.

Here is an illustration of these macros, their references r1 to r3 and their effect.

Macroillustr.PNG