Noncongruent equidissections of the plane
classification
🧮 math.MG
keywords
equalplaneareanon-congruentpairwiseperimetersomethere
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Nandakumar asked whether there is a tiling of the plane by pairwise non-congruent triangles of equal area and equal perimeter. Here a weaker result is obtained: there is a tiling of the plane by pairwise non-congruent triangles of equal area such that their perimeter is bounded by some common constant. Several variants of the problem are stated, some of them are answered.
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