The least-area tetrahedral tile of space
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.
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Netherlands
2021
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| Online Access: | https://hdl.handle.net/1721.1/131743 |
| _version_ | 1826205218519384064 |
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| author | Bongiovanni, Eliot Diaz, Alejandro Kakkar, Arjun Sothanaphan, Nat |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bongiovanni, Eliot Diaz, Alejandro Kakkar, Arjun Sothanaphan, Nat |
| author_sort | Bongiovanni, Eliot |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:09:32Z |
| format | Article |
| id | mit-1721.1/131743 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:09:32Z |
| publishDate | 2021 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1317432023-12-19T21:04:45Z The least-area tetrahedral tile of space Bongiovanni, Eliot Diaz, Alejandro Kakkar, Arjun Sothanaphan, Nat Massachusetts Institute of Technology. Department of Mathematics 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. 2021-09-20T17:30:06Z 2021-09-20T17:30:06Z 2019-07-10 2020-09-24T20:34:03Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131743 en https://doi.org/10.1007/s10711-019-00465-x 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. Springer Nature B.V. application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Bongiovanni, Eliot Diaz, Alejandro Kakkar, Arjun Sothanaphan, Nat The least-area tetrahedral tile of space |
| title | The least-area tetrahedral tile of space |
| title_full | The least-area tetrahedral tile of space |
| title_fullStr | The least-area tetrahedral tile of space |
| title_full_unstemmed | The least-area tetrahedral tile of space |
| title_short | The least-area tetrahedral tile of space |
| title_sort | least area tetrahedral tile of space |
| url | https://hdl.handle.net/1721.1/131743 |
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