The Least-Area Tetrahedral Tile of Space
Metric Geometry
2020-11-10 v3
Abstract
We determine the least-area unit-volume tetrahedral tile of Euclidean space, without the constraint of Gallagher et al. that the tiling uses only orientation-preserving images of the tile. The winner remains Sommerville's type 4v.
Cite
@article{arxiv.1709.04139,
title = {The Least-Area Tetrahedral Tile of Space},
author = {Eliot Bongiovanni and Alejandro Diaz and Arjun Kakkar and Nat Sothanaphan},
journal= {arXiv preprint arXiv:1709.04139},
year = {2020}
}
Comments
72 pages, 10 figures