Computer geometry: Rep-tiles with a hole
Metric Geometry
2023-01-02 v1
Abstract
A cube is an 8-rep-tile: it is the union of eight smaller copies of itself. Is there a set with a hole which has this property? The computer found an interesting and complicated solution, which then could be simplified. We discuss some problems of computer-assisted research in geometry.
Keywords
Cite
@article{arxiv.1811.03929,
title = {Computer geometry: Rep-tiles with a hole},
author = {Christoph Bandt and Dmitry Mekhontsev},
journal= {arXiv preprint arXiv:1811.03929},
year = {2023}
}