Papers › The Least-Area Tetrahedral Tile of Space

The Least-Area Tetrahedral Tile of Space

13 Sep 2017arXiv:1709.04139links table onlyarchive 2025-07-28

Eliot Bongiovanni, Alejandro Diaz, Arjun Kakkar, Nat Sothanaphan

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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.

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