Quadrilateral reptiles
Metric Geometry
2022-05-24 v1
Abstract
A polygon is called a reptile, if it can be decomposed into nonoverlapping and congruent polygons similar to . We prove that if a cyclic quadrilateral is a reptile, then it is a trapezoid. Comparing with results of U. Betke and I. Osburg we find that every convex reptile is a triangle or a trapezoid.
Keywords
Cite
@article{arxiv.2205.11068,
title = {Quadrilateral reptiles},
author = {Miklos Laczkovich},
journal= {arXiv preprint arXiv:2205.11068},
year = {2022}
}