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Rubik’s on the Torus
Jeremy Alm, Michael Gramelspacher and Theodore Rice
The American Mathematical Monthly
Vol. 120, No. 2 (February 2013), pp. 150-160
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.120.02.150
Page Count: 11
You can always find the topics here!Topics: Puzzles, Mathematical puzzles, Vertices, Cubes, Mathematical sequences, Wheels, Group theory, Games, Canonical forms
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Abstract Rubik’s Slide is an electronic puzzle in the same style as other puzzles in the Rubik’s family. It will be of interest to puzzle enthusiasts as well as to teachers and students of mathematics. This paper analyzes the puzzle using tools from group theory and graph theory. We discuss solution heuristics and model game-play using group theory. We briefly give results concerning solutions requiring a minimal number of moves.
Copyright the Mathematical Association of America 2013