Small Volume Bodies of Constant Width with Tetrahedral Symmetries
For every ≥ 2, we construct a body ₙ of constant width 2 in ⁿ with small volume and symmetries of a regular -simplex. ₂ is the Reuleaux triangle. To the best of our knowledge, ₃ was not previously constructed, and its volume is smaller than the volume of other three-dimensional bodies of constant w...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214201 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Small Volume Bodies of Constant Width with Tetrahedral Symmetries. Andrii Arman, Andriy Bondarenko, Andriy Prymak and Danylo Radchenko. SIGMA 21 (2025), 109, 8 pages |
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