Noncongruent equidissections of the plane
Metric Geometry
2016-03-31 v1
Abstract
Nandakumar asked whether there is a tiling of the plane by pairwise non-congruent triangles of equal area and equal perimeter. Here a weaker result is obtained: there is a tiling of the plane by pairwise non-congruent triangles of equal area such that their perimeter is bounded by some common constant. Several variants of the problem are stated, some of them are answered.
Keywords
Cite
@article{arxiv.1603.09132,
title = {Noncongruent equidissections of the plane},
author = {Dirk Frettlöh},
journal= {arXiv preprint arXiv:1603.09132},
year = {2016}
}
Comments
7 pages, 6 figure