Smallest Squared Squares
Combinatorics
2013-07-10 v2
Abstract
In this paper we have a look at squared squares with small integer sidelengths, where the only restriction is that any two subsquares of the same size are not allowed to share a full border. We prove that there are exactly two such squared squares (and their mirrored versions) up to and including size 17x17. They are shown in Figure 1 (page 2).
Cite
@article{arxiv.1307.2092,
title = {Smallest Squared Squares},
author = {Lorenz Milla},
journal= {arXiv preprint arXiv:1307.2092},
year = {2013}
}
Comments
10 pages, 44 figures