An enumeration of equilateral triangle dissections

@article{Drpal2010AnEO,
  title={An enumeration of equilateral triangle dissections},
  author={A. Dr{\'a}pal and Carlo H{\"a}m{\"a}l{\"a}inen},
  journal={Discret. Appl. Math.},
  year={2010},
  volume={158},
  pages={1479-1495}
}
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 Tutte's conjecture that the smallest perfect dissection has size 15 and we find all perfect dissections up to size 20. 
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