Skip to main content
Kaleidoscopic Tilings on Surfaces, Group Algebras and Separability
Rose Math Seminar (2003)
  • Sean A Broughton
When are kaleidoscopic tilings separating? Every edge of a kaleidoscopic tiling generates a reflection of the surface to itself fixing the edge. In the case of a sphere the fixed point set (or mirror) of the reflection is a great circle which separates the sphere into two pieces. This is very misleading example, since for higher genus the mirror very rarely separates the surface. The question is: is there a fast way to determine this splitting property from the properties of the tiling group? The talk will present a method of attack using the group algebra of the talk. Again, no previous knowledge of group theory is assumed.
  • Riemann surface,
  • kaleidoscopic tilings,
  • separating mirrors
Publication Date
May 7, 2003
Rose-Hulman Institute of Technology, Terre Haute, IN
Also see this site:
Citation Information
Sean A Broughton. "Kaleidoscopic Tilings on Surfaces, Group Algebras and Separability" Rose Math Seminar (2003)
Available at:
Creative Commons License
Creative Commons License
This work is licensed under a Creative Commons CC_BY-NC-SA International License.