Rubik's on the Torus

Author: Alm Jeremy   Gramelspacher Michael   Rice Theodore  

Publisher: Mathematical Association of America

ISSN: 1930-0972

Source: American Mathematical Monthly, Vol.120, Iss.2, 2013-02, pp. : 150-160

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.