The Least-Area Tetrahedral Tile of Space
arXiv:1709.04139 · doi:10.1007/s10711-019-00465-x
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.
72 pages, 10 figures