The least-area tetrahedral tile of space
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10711_2019_465_ReferencePDF.pdf
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Author(s)
Bongiovanni, Eliot
Diaz, Alejandro
Kakkar, Arjun
Sothanaphan, Nat
Date Issued
July 10, 2019
Publisher
Springer Netherlands
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10711-019-00465-x
