Surface-area-minimizing n-hedral Tiles
Metric Geometry
2013-05-08 v1
Abstract
We provide a list of conjectured surface-area-minimizing n-hedral tiles of space for n from 4 to 14, previously known only for n equal to 5 or 6. We find the optimal "orientation-preserving" tetrahedral tile (n=4), and we give a nice proof for the optimal 5-hedron (a triangular prism).
Cite
@article{arxiv.1305.1590,
title = {Surface-area-minimizing n-hedral Tiles},
author = {Whan Ghang and Zane Martin and Steven Waruhiu},
journal= {arXiv preprint arXiv:1305.1590},
year = {2013}
}