Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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.  computationally prove Tutte's conjecture that the smallest perfect dissection has size 15 and  find all perfect dissections up to size 20.
['Aleš Drápal', 'Carlo Hamalainen']
I am writing a research paper on a idea An enumeration of equilateral triangle dissections
[{"from": "human", "value": "I am writing a research paper on a idea An enumeration of equilateral triangle dissections"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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.  computationally prove Tutte's conjecture that the smallest perfect dissection has size 15 and  find all perfect dissections up to size 20."}]