Tilings of the sphere by congruent quadrilaterals III: edge combination $a^3b$ with general angles

Autor:	Liao, Yixi, Qian, Pinren, Wang, Erxiao, Xu, Yingyun
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics Mathematics - Metric Geometry 52C20 05B45
Druh dokumentu:	Working Paper
Popis:	Edge-to-edge tilings of the sphere by congruent quadrilaterals are completely classified in a series of three papers. This last one classifies the case of $a^3b$-quadrilaterals with some irrational angle: there are a sequence of $1$-parameter families of quadrilaterals admitting $2$-layer earth map tilings together with their basic flip modifications under extra condition, and $5$ sporadic quadrilaterals each admitting a special tiling. A summary of the full classification is presented in the end. Comment: 29 pages, 22 figures, 12 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.15342 Zobrazit plný text záznamu View this record from Arxiv