A Survey of Symmetry Samplers

Susan Goldstine
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 103–110 Regular Papers


In many fiber arts, such as knitting and embroidery, there is a longstanding tradition of samplers, pieces that combine patches of different designs into a single artwork. In recent years, a number of artists have produced pieces in a mathematical subgenre: the symmetry sampler, a work of art that exhibits all of the symmetry types achievable in a particular craft. This paper collects some recent examples of this emerging form and presents some of the fiber-art symmetry-group theorems these samplers demonstrate.