A characterization of the symmetry groups of mono-monostatic convex bodies
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00605-023-01847-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7498 |
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oai:localhost:PNK-74982023-04-04T07:44:17Z A characterization of the symmetry groups of mono-monostatic convex bodies Gábor, Domokos Zsolt, Lángi Péter L., Várkonyi Answering a question of Conway and Guy Euclidean ball CC BY Answering a question of Conway and Guy (SIAM Rev. 11:78-82, 1969), Lángi (Bull. Lond. Math. Soc. 54: 501-516, 2022) proved the existence of a monostable polyhedron with n-fold rotational symmetry for any n≥3 , and arbitrarily close to a Euclidean ball. In this paper we strengthen this result by characterizing the possible symmetry groups of all mono-monostatic smooth convex bodies and convex polyhedra. Our result also answers a stronger version of the question of Conway and Guy, asked in the above paper of Lángi. 2023-04-04T07:44:17Z 2023-04-04T07:44:17Z 2023 Book https://link.springer.com/article/10.1007/s00605-023-01847-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7498 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Answering a question of Conway and Guy Euclidean ball |
| spellingShingle |
Answering a question of Conway and Guy Euclidean ball Gábor, Domokos Zsolt, Lángi Péter L., Várkonyi A characterization of the symmetry groups of mono-monostatic convex bodies |
| description |
CC BY |
| format |
Book |
| author |
Gábor, Domokos Zsolt, Lángi Péter L., Várkonyi |
| author_facet |
Gábor, Domokos Zsolt, Lángi Péter L., Várkonyi |
| author_sort |
Gábor, Domokos |
| title |
A characterization of the symmetry groups of mono-monostatic convex bodies |
| title_short |
A characterization of the symmetry groups of mono-monostatic convex bodies |
| title_full |
A characterization of the symmetry groups of mono-monostatic convex bodies |
| title_fullStr |
A characterization of the symmetry groups of mono-monostatic convex bodies |
| title_full_unstemmed |
A characterization of the symmetry groups of mono-monostatic convex bodies |
| title_sort |
characterization of the symmetry groups of mono-monostatic convex bodies |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00605-023-01847-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7498 |
| _version_ |
1762274900142194688 |
| score |
8.891145 |