期刊
EUROPEAN JOURNAL OF COMBINATORICS
卷 73, 期 -, 页码 72-80出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ejc.2018.05.005
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资金
- Russian Foundation for Basic Research [15-01-03530]
- EPSRC [EP/N019504/1]
- 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]
- EPSRC [EP/N019504/1] Funding Source: UKRI
We solve a problem of R. Nandakumar by proving that there is no tiling of the plane with pairwise noncongruent triangles of equal area and equal perimeter. We also show that any tiling of a convex polygon with more than three sides with finitely many triangles contains a pair of triangles that share a full side. (C) 2018 Elsevier Ltd. All rights reserved.
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