Divisible Tilings in the Hyperbolic Plane

Authors

Sean A. Broughton, Rose-Hulman Institute of TechnologyFollow
Dawn M. Haney, Rose-Hulman Institute of Technology
Lori T. McKeough, Rose-Hulman Institute of Technology
Brandy M. Smith, Rose-Hulman Institute of TechnologyFollow

Document Type

Article

Publication Date

8-24-1999

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

Recommended Citation

Broughton, Sean A.; Haney, Dawn M.; McKeough, Lori T.; and Smith, Brandy M., "Divisible Tilings in the Hyperbolic Plane" (1999). Mathematical Sciences Technical Reports (MSTR). 60.
https://scholar.rose-hulman.edu/math_mstr/60