Cayley Cubic and the Visual Arts

Jean Constant
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 419–422 Short Papers


It puzzles many that cubic surfaces, discovered and classified more than a hundred years ago, are still very present in mathematical studies today. This presentation briefly reviews the theory and principle of these particular surfaces and submits that recent developments in computer-aided technology may be consequential in the renewed interest of scientists, engineers as well as artists for this area of study. Using recent sophisticated mathematical visualization programs, I investigate the Cayley cubic and explore its surface in a visual art context to highlight the close connectivity between pure mathematics and our larger aesthetic environment.