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arXiv · 1712.03118

Tilings of the plane with unit area triangles of bounded diameter

Andrey Kupavskii·János Pach·Gábor Tardos
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Abstract

There exist tilings of the plane with pairwise noncongruent triangles of equal area and bounded perimeter. Analogously, there exist tilings with triangles of equal perimeter, the areas of which are bounded from below by a positive constant. This solves a problem of Nandakumar.

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Andrey Kupavskii, János Pach, Gábor Tardos. 2018-02-06. Tilings of the plane with unit area triangles of bounded diameter. https://arxiv.org/abs/1712.03118

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