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Generalizing Sudoku to three dimensions

Lambert Tiffany A. and Whitlock Paula A. ()
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Lambert Tiffany A.: Department of Computer and Information Sciences, Brooklyn College, 2900 Bedford Avenue, Brooklyn, New York 10021, USA.
Whitlock Paula A.: Department of Computer and Information Sciences, Brooklyn College, 2900 Bedford Avenue, Brooklyn, New York 10021, USA. E-mail:

Monte Carlo Methods and Applications, 2010, vol. 16, issue 3-4, 251-263

Abstract: The well-known logic puzzle Sudoku can be generalized from two to three dimensions by designing a puzzle that is played on the faces of a cube. One variation, already introduced as a puzzle by Dion Church, uses three adjacent faces. Another variation uses all six faces. We have developed a set of rules and constraints for both three-dimensional Sudoku variations and have studied the properties using the method of simulated annealing.

Keywords: Sudoku; Simulated annealing; stochastic games; Markov chains (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1515/mcma.2010.018

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