View paper:
 pdf hdvi dvi+eps ps
View abstract:
 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 \emph{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. Acknowledgments: The last three authors were supported by NSF grant DMS-9619714 Author information: S. Allen Broughton: Rose-Hulman Institute of Technology, Terre Haute IN, 47803 allen.broughton@rose-hulman.edu http://www.rose-hulman.edu/~brought/ Dawn M. Haney: University of Georgia, Athens, GA 30602 haneydaw@arches.uga.edu Lori T. McKeough: St. Paul's School, Concord NH lmckeoug@sps.edu Brandy Smith Mayfield: 3302 Cheyenne Court, Fairfield Twp, OH 45011 brandymayfield@hotmail.com