2015 Bridges Conference

Vi Hart (VH), Andrea Hawksley (AH), Henry Segerman (HS), Will Segerman (WS) and Marc ten Bosch (MtB)


Henry Segerman

Associate Professor of Mathematics

Oklahoma State University

Stillwater, Oklahoma, USA




Vi Hart is a mathemusician and virtual reality artist who likes triangles. Andrea Hawksley is a VR researcher who enjoys finding and creating mathematical patterns in the everyday things around her. Henry Segerman's mathematical research is in 3-dimensional geometry and topology. He is also interested in procedural generation, self reference, ambigrams and puzzles. Will Segerman is a self-employed sculptor in analogue and digital media. His current main source of income is as a virtual milliner. Marc ten Bosch is an independent game designer and programmer, currently working on games that let you explore and interact with a four-dimensional world. Monkey See, Monkey Do can be experienced at http://monkeys.hypernom.com.


Image for entry 'Monkey See, Monkey Do'

Monkey See, Monkey Do

35 x 65 x 50 cm

3D printed nylon plastic, Virtual reality


This piece consists of three 3D printed sculptures together with an associated virtual reality experience. The three sculptures visualise different 4D symmetry groups. A monkey motif is placed in each cube, octahedron or dodecahedron of the 8-, 24- or 120-cell, giving objects with symmetry groups the 8-element quaternion group, the binary tetrahedral group, and the binary icosahedral group respectively. The designs are radially projected to the 3-sphere then stereographically projected to 3-space. The VR experience animates each of these, showing one generator of each symmetry group. The virtual monkeys are coloured by an algorithm based on the Hopf fibration from the 3-sphere to the 2-sphere, which is then embedded in the RGB colour cube.