Divisible tilings of the hyperbolic planeNew York Journal of Mathematics (2000)
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.
- hyperbolic plane
Citation InformationSean A Broughton, Dawn M Haney, Lori T McKeough and Brandy Mayfield. "Divisible tilings of the hyperbolic plane" New York Journal of Mathematics Vol. 6 (2000) p. 237 - 283 ISSN: 1076 9803
Available at: http://works.bepress.com/allen_broughton/48/