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    • A characterization of the symmetry groups of mono-monostatic convex bodies
    Authors: Gábor, Domokos; Zsolt, Lángi; Péter L., Várkonyi;  Advisor: -;  Co-Author: - (2023)

    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.