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The Mathematics of the Rubik's Cube

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Visit this site: http://web.usna.navy.mil/~wdj/rubik_nts.htm

Author:W. D. Joyner; Dept. of Mathematics, United States Naval Academy
Description: Lecture notes for a math course taught by the author, available in latex and ascii versions and including an introduction, references, and chapters on Logic; Functions on sets; Permutations and permutation puzzles; Some solution strategies; Groups; Orbits, actions, and cosets; Cayley graphs and God's algorithm; Symmetry groups of the Platonic solids; Structure of the Rubik's cube group; Rubika esoterica; and Realizing PGL(2,F5) inside the Rubik's cube group.

Levels: College
Languages: English
Resource Types: Course Notes, Problems/Puzzles, Bibliographies
Math Topics: Group Theory, Permutations/Combinations, Polyhedra, Symmetry/Tessellations, Logic/Foundations, Set Theory

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