Article
Constructing Kaleidscopic Tiling Polygons in the Hyperbolic Plane
Mathematical Sciences Technical Reports (MSTR)
Document Type
Article
Publication Date
1-9-1999
Disciplines
Abstract
We have all seen many of the beautiful patterns obtained by tiling the hyperbolic plane H by repeated reflection in the sides of a "kaleidoscopic" polygon. Though there are such patterns on the sphere and the euclidean plane, these positively curved and fiat geometries lack the richness we see in the hyperbolic plane. Many of these patterns have been popularized by the beautiful art of M.C. Escher. For a list of references and a more complete discussion on the construction of artistic tilings see [6].
Citation Information
Sean A Broughton. "Constructing Kaleidscopic Tiling Polygons in the Hyperbolic Plane" (1999) Available at: http://works.bepress.com/allen_broughton/17/
MSTR 98-06