Mathematics of a Sudo-Kurve

Open access


We investigate a type of a Sudoku variant called Sudo-Kurve, which allows bent rows and columns, and develop a new, yet equivalent, variant we call a Sudo-Cube. We examine the total number of distinct solution grids for this type with or without symmetry. We study other mathematical aspects of this puzzle along with the minimum number of clues needed and the number of ways to place individual symbols.

[1] Conway, J.H., Ryba, A. “Kenning KenKen”, an unpublished manuscript.

[2] Felgenhauer, B., Jarvis, F. “Mathematics of Sudoku I”, Mathematical Spectrum, 39, 15–22, 2006.

[3] McGuire, G., Tugemann, B., Civario, C. “There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration”, Experimental Mathematics, 23, 190–217, 2014.

[4] gmpuzzles blog, available at, last accessed June 2018.

[5] Riley, P., Taalman, L. Beyond Sudoku, Sterling Publishing Co., Inc., New York, 2012.

[6] Rosenhouse, J., Taalman. L. Taking Sudoku Seriously, Oxford University Press, New York, 2011.

[7] Snyder, T., Huang, W. Mutant Sudoku, Sterling Publishing Co., Inc., New York, 2009.

[8] Snyder, T., Huang, W. Sudoku Masterpieces: Elegant Challenges for Sudoku Lovers, Sterling Publishing Co., Inc., New York, 2010.

Journal Information

Target Group

researchers in the fields of games and puzzles, problems, mathmagic, mathematics and arts, math and fun with algorithms


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