Bridges 2026 Exhibition of Mathematical Art, Craft, and Design
Vincent Schumacher
Artists
Statement
My goal is to create photos made of images on tiles that connect seamlessly with the images on adjacent tiles. Since no symmetries can be assumed within the images, every tile must be mirrored across every edge that it shares with another tile. This restriction has some unique results. For example, many mosaic patterns are formed by tiles that contrast with their adjacent tiles, but with mirrored images, the tiles are hidden and the images on the tiles form the pattern. Interestingly, mirrored images can fill a plane using only square or triangular tiles, but not using only hexagonal tiles. Even with the requirement of seamless connections, mirrored image tiles allow unlimited ways to build seamless photographs, using a little creativity.
Artworks

The Well-Latched Door
35.0 x 40.0 cm
Photograph
2019