An enumeration of equilateral triangle dissections
Combinatorics
2010-04-06 v2
Abstract
We enumerate all dissections of an equilateral triangle into smaller equilateral triangles up to size 20, where each triangle has integer side lengths. A perfect dissection has no two triangles of the same side, counting up- and down-oriented triangles as different. We computationally prove W. T. Tutte's conjecture that the smallest perfect dissection has size 15 and we find all perfect dissections up to size 20.
Keywords
Cite
@article{arxiv.0910.5199,
title = {An enumeration of equilateral triangle dissections},
author = {Ales Drapal and Carlo Hamalainen},
journal= {arXiv preprint arXiv:0910.5199},
year = {2010}
}
Comments
Final version sent to journal.