Henry Segerman

Associate Professor of Mathematics
Oklahoma State University
Stillwater, Oklahoma, USA
http://www.segerman.org/
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".
Holonomy maze
Holonomy maze
00:05:00
2021
https://youtu.be/Cp3q6NduvOU
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.