neverendingbooks

Tag: Escher

  • Imagination and the Impossible

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

  • Escher’s stairs

    Stairways feature prominently in several drawings by Maurits Cornelis (“Mauk”) Escher, for example in this lithograph print Relativity from 1953. Relativity (M. C. Escher) – Photo Credit From its Wikipedia page: In the world of ‘Relativity’, there are three sources of gravity, each being orthogonal to the two others. Each inhabitant lives in one of…

  • 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…