Saul Schleimer is a geometric topologist, working at the University of
Warwick. His other interests include combinatorial group theory and
computation. He is especially interested in the interplay between these
fields and additionally in visualization of ideas from these fields.
Henry Segerman is an assistant professor in the Department of
Mathematics at Oklahoma State University. His mathematical research is
in 3-dimensional geometry and topology, and concepts from those areas
often appear in his work. Other artistic interests involve procedural
generation, self reference, ambigrams and puzzles.
Illuminating hyperbolic geometry
4:25
Video: Saul Schleimer and Henry Segerman. Image credits: Cannon,
Floyd, Kenyon, Parry; Roice Nelson. We thank Gazi University,
Ankara, Turkey, for its hospitality during filming.
In this short video we show how various models of hyperbolic
geometry can be obtained from the hemisphere model via stereographic
and orthogonal projection.