Tilings, Finite Groups, and Hyperbolic Geometry
at the Rose-Hulman REU
S. Allen Broughton
Rose-Hulman Institute of Technology
October 18, 1997 at the
Fall meeting of the Indiana MAA Section, Wabash College
A tiling of a surface is a covering of the surface by polygons without
gaps or overlaps such as in the icosahedral
tiling of the sphere. For highly symmetric tilings the geometry of
the tiling is controlled by structure of the symmetry group of the
tiling. The talk gives a quick overview of the link between the tilings
and then lists several problems suitable for undergraduate research.
Published results of one student collaboration for the summer 1997 and
1998 program are given, with a link to a published paper combining
their results, with those of later studnets and my own results.
Lecture and supporting materials
This page last updated on 20 Mar 01.