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Title: A characterization of the symmetry groups of mono-monostatic convex bodies
Authors: Gábor, Domokos
Zsolt, Lángi
Péter L., Várkonyi
Issue Date: 2023
Publisher: Springer
Abstract: 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.
Description: CC BY
URI: https://link.springer.com/article/10.1007/s00605-023-01847-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7498
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