Mathematical Sciences: Faculty Publications
Reptiles with Holes
Document Type
Article
Publication Date
10-2005
Publication Title
Proceedings of the Edinburgh Mathematical Society
DOI
10.1017/S001309150400001X
ISSN
1464-3839
Abstract
Croft, Falconer and Guy asked: what is the smallest integer n such that an n-reptile in the plane has a hole? Motivated by this question, we describe a geometric method of constructing reptiles in Rd, especially reptiles with holes. In particular, we construct, for each even integer n ≥ 4, an n-reptile in R2 with holes. We also answer some questions concerning the topological properties of a reptile whose interior consists of infinitely many components.
Recommended Citation
Jordan, Francis, Sze-Man Ngai.
2005.
"Reptiles with Holes."
Proceedings of the Edinburgh Mathematical Society, 48 (3): 651-671.
doi: 10.1017/S001309150400001X
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/598
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
