Saul Schleimer and Henry Segerman

Reader (SS), Assistant Professor (HS)
Mathematics Institute, University of Warwick (SS), Department of Mathematics, Oklahoma State University (HS)
Coventry, United Kingdom (SS), Stillwater, Oklahoma (HS)
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
Illuminating hyperbolic geometry
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.