2021 Bridges Conference Short Film Festival
Henry Segerman
Filmmakers
Statement
Henry Segerman is an associate professor in the department of mathematics at Oklahoma State University. His research interests are in three-dimensional geometry and topology, and in mathematical art and visualization. In visualization he works in 3D printing, spherical video, virtual, and augmented reality. He is the author of the book "Visualizing Mathematics with 3D Printing".
Films
This video describes a puzzle I designed which uses the concept of holonomy in its design. Holonomy is the phenomenon in which an object that travels around a loop in a curved space comes back rotated. In this puzzle, a piece trapped inside a maze may or may not be blocked from moving along a pathway, depending on its rotation. The piece is prevented from rotating in place, but can rotate by traveling around loops. This means that the maze is four times bigger than it at first appears.