An enumeration of equilateral triangle dissections |
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Authors: | Aleš Drápal |
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Institution: | Department of Mathematics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic |
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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 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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Keywords: | Triangle dissection Latin trade |
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