Which convex polyhedra can be made by gluing regular hexagons?

Autor:	Arseneva, Elena, Langerman, Stefan
Rok vydání:	2020
Předmět:	Computer Science - Computational Geometry
Druh dokumentu:	Working Paper
Popis:	Which convex 3D polyhedra can be obtained by gluing several regular hexagons edge-to-edge? It turns out that there are only 15 possible types of shapes, 5 of which are doubly-covered 2D polygons. We give examples for most of them, including all simplicial and all flat shapes, and give a characterization for the latter ones. It is open whether the remaining can be realized. Comment: 7 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.02052 Zobrazit plný text záznamu View this record from Arxiv