1. bookVolume 5 (2018): Issue 10 (December 2018)
Journal Details
License
Format
Journal
First Published
16 Apr 2016
Publication timeframe
2 times per year
Languages
English
access type Open Access

Mathematics of a Sudo-Kurve

Published Online: 31 Dec 2018
Page range: 5 - 28
Journal Details
License
Format
Journal
First Published
16 Apr 2016
Publication timeframe
2 times per year
Languages
English

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.

Keywords

[1] Conway, J.H., Ryba, A. “Kenning KenKen”, an unpublished manuscript.Search in Google Scholar

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

[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.Search in Google Scholar

[4] gmpuzzles blog, available at https://www.gmpuzzles.com/blog/, last accessed June 2018.Search in Google Scholar

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

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

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

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

Recommended articles from Trend MD

Plan your remote conference with Sciendo