Which convex polyhedra can be made by gluing regular hexagons?
Computational Geometry
2020-02-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2002.02052,
title = {Which convex polyhedra can be made by gluing regular hexagons?},
author = {Elena Arseneva and Stefan Langerman},
journal= {arXiv preprint arXiv:2002.02052},
year = {2020}
}
Comments
7 pages, 5 figures