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ON THE CENTERS OF SYMMETRY OF A CONVEX SPATIAL BODY

DOI: 10.46573/2658-7459-2023-2-64-72

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Authors

Al.A. Shum, A.M. Vetoshkin

Abstract

The concept of the center of n-symmetry of a spatial body introduced by the authors earlier is considered. It is indicated that special cases of this general concept are the center of s-symmetry (the center of 0-symmetry) and the center of c-symmetry (the center of 1-symmetry). The previously established criterion for the coincidence of the center of s-symmetry of a convex spatial body with the origin of coordinates is transferred to the general case of n-symmetry.

Keywords

symmetry, c-symmetry, s-symmetry, n-symmetry, center of symmetry, density function, convex body, mass, center of mass, electric bus.