An update on the Cayley table quilt
10 Apr 2022Some time ago, I wrote a post about visualizing the maximal normal series of the permutation group \(S_4\) in a Cayley table, using a carefully-chosen ordering and coloring of its elements. From 2019 to the end of 2020, the UK Math Lab’s 2D visualization group was making steady progress on a quilt based on that design. To read their progress updates, see here, here and here. And you can see the finished result here along with a discussion of the design. Below is the image from my 2018 post and a picture of the finished quilt from 2020.
In 2021, Kate Ponto (who was the driving force behind organizing the group that managed to finish this project during a pandemic) submitted the quilt to the exhibition of mathematical art at the JMM. It was just announced that the quilt was awarded an honorable mention at the exhibition.
More info can be found at the website of the JMM 2022 gallery here, including the names of everyone who worked on this project.