Sudoku Asters (Artwork)
Sudoku Asters Digital Print 2019

Each row of the Cayley-Sudoku table in Table~1 from their article can be thought of representing a permutation. Pairs of permutations can be visualized with a technique described by Karl Kattchee and Craig Kaplan \cite{Kattchee}; applying this technique to arbitrary pairs of permutations results in a closed path that Reimann refers to as an aster. This process is repeated for each pair of permutations, resulting in the $9 \times 9$ grid of asters.

Background and Inspiration

The October 2019 cover of Mathematics Magazine.

This work was originally done for use as cover art for the October 2019 issue of Mathematics Magazine. This is the twenty-fourth of 25 original artworks I created for the journal Mathematics Magazine during 2015–2019.

Each row of the Cayley-Sudoku table in Table~1 from their article can be thought of representing a permutation. Pairs of permutations can be visualized with a technique described by Karl Kattchee and Craig Kaplan \cite{Kattchee}; applying this technique to arbitrary pairs of permutations results in a closed path that Reimann refers to as an aster. This process is repeated for each pair of permutations, resulting in the $9 \times 9$ grid of asters.

Related Works

Publication History

  • Mathematics Magazine, Cover Art, Vol. 92, No. 4, October 2019.

References

  • Boden and Ward
  • Karl Kattchee and Craig Kaplan
  • Inspired by the article \A New Class of Cayley-Sudoku Tables" by Kady Hossner Boden and Michael B. Ward