5 research outputs found
An enumeration of equilateral triangle dissections
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.Comment: Final version sent to journal