2020 Bridges Conference Short Film Festival

David Bachman, Saul Schleimer, and Henry Segerman

Filmmakers

Saul Schleimer

Reader in Mathematics

Mathematics Institute, University of Warwick

Coventry, United Kingdom

s.schleimer@warwick.ac.uk

http://homepages.warwick.ac.uk/~masgar/

Statement

David Bachman is a professor at Pitzer College in Claremont, CA. David studies geometry and topology, and enjoys creating 3D sculptures that illustrate these ideas. 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 the visualization of ideas from these fields. Henry Segerman is an Associate Professor in the Department of Mathematics at Oklahoma State University. His interests include geometry and topology, 3D printing, virtual reality, and spherical video.

Films

Image for entry 'Cohomology fractals zoom'

Cohomology fractals zoom

00:05:01

Programming and math: David Bachman, Saul Schleimer, and Henry Segerman. Music: "Tossing and Turning" by Vi Hart, licensed under a CC BY-NC 3.0 license

2019

Watch

A zoom through a selection of "views" of the inside of finite-volume hyperbolic three-manifolds. Each three-manifold contains a surface; when a “light ray” leaves your eye it becomes darker when it crosses the surface in the positive sense and lighter when it crosses in the negative sense. The elaborate patterns come from the complicated geometry and topology of the ambient three-manifold. The names of the manifolds listed are as given in the SnapPea census. For more details on the construction of these images, see our explanation video at https://youtu.be/fhBPhie1Tm0. These images were generated by https://henryseg.github.io/cohomology_fractals. In the web app there, use the arrow and wasd keys to move, and choose the manifold from the dropdown menu.