Journal
ACTA MATHEMATICA HUNGARICA
Volume 155, Issue 1, Pages 175-183Publisher
SPRINGER
DOI: 10.1007/s10474-018-0808-9
Keywords
triangular tiling; noncongruent triangle
Categories
Funding
- Russian Foundation for Basic Research [N 15-01-03530]
- Swiss National Science Foundation [200020-162884, 200021-165977]
- Cryptography Lendulet project of the Hungarian Academy of Sciences
- National Research, Development and Innovation Office, NKFIH [K-116769, SNN-117879]
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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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