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Selected Works of S. Allen Broughton
Article
Divisible Tilings in the Hyperbolic Plane
Mathematical Sciences Technical Reports (MSTR)
  • Sean A Broughton, Rose-Hulman Institute of Technology
  • Dawn M Haney, Rose-Hulman Institute of Technology
  • Lori T McKeough, Rose-Hulman Institute of Technology
  • Brandy M Smith, Rose-Hulman Institute of Technology
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Document Type
Article
Publication Date
8-24-1999
Disciplines
Abstract

We consider triangle-quadrilateral pairs in the hyperbolic plane which "kaleidoscopically" tile the plane simultaneously. In this case the tiling by quadrilaterals is called a divisible tiling. All possible such divisible tilings are classified. There are a finite number of 1,2, and 3 parameter families as well as a finite number of exceptional cases.

Comments

MSTR 99-04

Citation Information
Sean A Broughton, Dawn M Haney, Lori T McKeough and Brandy M Smith. "Divisible Tilings in the Hyperbolic Plane" (1999)
Available at: http://works.bepress.com/allen_broughton/10/