Puzzle It Out: Cubes, Groups and Puzzles

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CUP Archive, Feb 25, 1982 - Mathematics - 64 pages
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Explains the mathematical theory of groups and how it can be used to solve Rubik's Cube and similar puzzles
 

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Contents

The Cube
4
Permutations of 4 coloured squares
6
Permutations of the Cube
16
Commutators
24
Understanding Commutators
26
Conjugation
28
Solving that Cube
30
Groups
32
Groups within groups Subgroups
34
Cycles
36
Even and Odd Permutations Impossible Rearrangements
40
The Twelve Cubes
42
Super Moves
44
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