No triangle can be cut into seven congruent triangles
History and Overview
2019-06-18 v5 Metric Geometry
Abstract
We prove the theorem in the title, and prove the theorem for 11 as well as 7. By previous work of others, the problem reduces to a number of cases. The cases not solved already are solved here.
Cite
@article{arxiv.1811.09723,
title = {No triangle can be cut into seven congruent triangles},
author = {Michael Beeson},
journal= {arXiv preprint arXiv:1811.09723},
year = {2019}
}
Comments
39 pages, 26 figures. The treatment of isosceles triangles has been replaced by a citation of the paper Tilings of an Isosceles Triangle, which seems a better organization of the material and reduces the length of this paper. arXiv admin note: text overlap with arXiv:1206.1974