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A characterization of the symmetry groups of mono-monostatic convex bodies

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Bibliographic Details
Main Authors: Gábor, Domokos, Zsolt, Lángi, Péter L., Várkonyi
Format: Book
Language:English
Published: Springer 2023
Subjects:
Answering a question of Conway and Guy
Euclidean ball
Online Access:https://link.springer.com/article/10.1007/s00605-023-01847-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7498
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spelling 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 8.893527

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