4.3 Article

Tilings of the plane with unit area triangles of bounded diameter

期刊

ACTA MATHEMATICA HUNGARICA
卷 155, 期 1, 页码 175-183

出版社

SPRINGER
DOI: 10.1007/s10474-018-0808-9

关键词

triangular tiling; noncongruent triangle

资金

  1. Russian Foundation for Basic Research [N 15-01-03530]
  2. Swiss National Science Foundation [200020-162884, 200021-165977]
  3. Cryptography Lendulet project of the Hungarian Academy of Sciences
  4. National Research, Development and Innovation Office, NKFIH [K-116769, SNN-117879]

向作者/读者索取更多资源

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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