Tilings of the plane with unit area triangles of bounded diameter

被引：5
|
作者：
Kupavskii, A. [1 ,2 ]
Pach, J. [1 ,3 ]
Tardos, G. [3 ]
机构：
[1] Ecole Polytech Fed Lausanne, Lausanne, Switzerland
[2] MIPT, Moscow, Russia
[3] Alfred Renyi Inst Math, Budapest, Hungary
来源：
ACTA MATHEMATICA HUNGARICA | 2018年 / 155卷 / 01期
基金：
瑞士国家科学基金会; 俄罗斯基础研究基金会;
关键词：
triangular tiling; noncongruent triangle; CONVEX EQUIPARTITIONS;
D O I：
10.1007/s10474-018-0808-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：175 / 183
页数：9
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