
Imagination and the Impossible
Two more sources I’d like to draw from for this fall’s maths for designerscourse: 1. Geometry and the Imagination A fantastic collection of handouts for a two week summer workshop entitled â€™Geometry and the Imaginationâ€™, led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 1991, based […]

Coxeter on Escher’s Circle Limits
Conway’s orbifold notation gives a uniform notation for all discrete groups of isometries of the sphere, the Euclidian plane as well as the hyperbolic plane. This includes the groups of symmetries of Escher’s Circle Limit drawings. Here’s Circle Limit III And ‘Angels and Devils’ aka Circle Limit IV: If one crawls along a mirror of…