A stability theorem on cube tessellations
Combinatorics
2018-07-16 v1
Abstract
It is shown that if a -dimensional cube is decomposed into n cubes, the side lengths of which belong to the interval nd$-th power and all cubes are of the same size. This result is essentially tight.
Cite
@article{arxiv.1807.05055,
title = {A stability theorem on cube tessellations},
author = {Peter Frankl and Janos Pach},
journal= {arXiv preprint arXiv:1807.05055},
year = {2018}
}
Comments
4 pages