A New Upper Bound on Rubik's Cube Group

Details A New Upper Bound on Rubik's Cube Group A New Upper Bound on Rubik's Cube Group

2005-12-21

arxiv.org/abs/math/0512485v2

Mathematics

Combinatorics

Scientific paper

In this paper we give a upper bound of 40 on Rubik's cube group. The
previously known upper bound has been 42 since 1995. In order to prove our
claim we use computational methods. The program used is GAP computer algebra.
Further more we give the number of elements of given length in two important
subgroups of Rubik's cube group.

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