2023 Joint Mathematics Meetings
Sandra DeLozier Coleman
Artists
Statement
An array of flowers involving multiple symmetries is a salute to John Conway and Bill Thurston, who created precise notations for defining and classifying symmetries. Using signatures based on the number of mirrors and gyrations that can be counted in a wallpaper pattern, Conway offered proof that there are precisely 17 types of plane symmetry groups. Most of my symmetry images can be described easily using Conway's notation. In this image there is at-a-glance *4• symmetry, where 4 mirrors fix a point, but because there are also rotational symmetries (gyrations), the signature is better described as 4• symmetry. I wonder, could there be a more complex signature that would assign sub-signatures to symmetries within the flowers and leaves?