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- W2186769618 abstract "Rotational symmetries lead to an isotropic tensor of inertia for regular solids. The moment of inertia around any axis can then be obtained from the central moment of inertia without cumbersome calculations. Using this trick of the central moment, the moments of inertia are explicitly calculated here for all thirteen Archimedean solids. Among all Archimedean solids inscribed in the unit sphere, the Great Rhombicosidodecahedron has the highest ratio of moment of inertia by mass, 93.4 % of the corresponding ratio for the sphere, for 90 % of its volume. The highest Moment of Inertia Quotient (0.9964) is however obtained for the Small Rhombicosidodecahedron, and the second highest (0.9955) for the Snub Dodecahedron." @default.
- W2186769618 created "2016-06-24" @default.
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- W2186769618 date "2015-01-01" @default.
- W2186769618 modified "2023-09-24" @default.
- W2186769618 title "Moments of inertia of Archimedean solids" @default.
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