PreprintCC BY 4.0arXiv
No Prime Tiling of an Isosceles Triangle
Abstract
No isosceles triangle can be cut into a prime number (greater than three) of congruent triangles, and only an equilateral triangle can be cut into three congruent triangles.
Related
- Tiling a triangle into a prime number of congruent triangles
- The Dirichlet problem for Poisson’s equation in a right-isosceles triangle
- Pascal tiling and congruences modulo N in Pascal's triangle
- Neumann eigenvalues of isosceles triangles: monotonicity and asymptotics
- James-type constants for Birkhoff--James orthogonality and approximate isosceles
BibTeX
@misc{beeson2026prime,
title = {{No Prime Tiling of an Isosceles Triangle}},
author = {Michael Beeson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.19572},
eprint = {2607.19572},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.19572},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - No Prime Tiling of an Isosceles Triangle
AU - Michael Beeson
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2607.19572
UR - https://arxiv.org/abs/2607.19572
AB - No isosceles triangle can be cut into a prime number (greater than three) of congruent triangles, and only an equilateral triangle can be cut into three congruent triangles.
ER -