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Twin Sudoku Puzzles and Triplet Solid Sudoku Cubes From Strongly Mutually Distinct Twin Sudoku Tables | IEEE Journals & Magazine | IEEE Xplore

Twin Sudoku Puzzles and Triplet Solid Sudoku Cubes From Strongly Mutually Distinct Twin Sudoku Tables

Publisher: IEEE

Abstract:

A new class of twin Sudoku tables (TSTs) is presented. These tables can be divided into both s \times d and d \times s subtables. They are constructed using the...View more

Abstract:

A new class of twin Sudoku tables (TSTs) is presented. These tables can be divided into both s \times d and d \times s subtables. They are constructed using the cyclotomic cosets of Z_n via two distinct vectors of cyclotomic coset elements and their Kronecker product. We prove that it is possible to generate m TSTs that are strongly mutually distinct (SMD), i.e., for every 0\leq i, j \leq m-1 , the (i,j) th entry of the tables contains different symbols. We also provide a method to construct m different TSTs that can be converted into twin solid Sudoku tables (TSSTs) as a perfect set of SMD TSSTs in order to make triplet solid Sudoku cubes (TSSCs). These TSSCs are symmetric cubes so that a cut from any of the six faces is a TSST. As a result, new twin Sudoku puzzles (TSPs) and SMDTSPs are obtained that can be used to design new types of Sudoku games.
Published in: IEEE Transactions on Games ( Volume: 14, Issue: 4, December 2022)
Page(s): 632 - 643
Date of Publication: 01 December 2021

ISSN Information:

Publisher: IEEE

References

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