No acute tetrahedron is an 8-reptile
Computational Geometry
2018-01-30 v2 Metric Geometry
Abstract
An -gentiling is a dissection of a shape into parts which are all similar to the original shape. An -reptiling is an -gentiling of which all parts are mutually congruent. This article shows that no acute tetrahedron is an -gentile or -reptile for any , by showing that no acute spherical diangle can be dissected into less than nine acute spherical triangles.
Keywords
Cite
@article{arxiv.1508.03773,
title = {No acute tetrahedron is an 8-reptile},
author = {Herman Haverkort},
journal= {arXiv preprint arXiv:1508.03773},
year = {2018}
}
Comments
updated text, as in press with Discrete Mathematics, Discrete Mathematics Available online 10 November 2017