Radius of Gyration (Rg) of the 13 Archimedean Solids


Enter the size of either the edge length (e) or the circumscribed sphere-radius (ro) or the surface area (A) or the volume (V), of the polyhedra and the values for e, ro, A, V and for the Radius of Gyration of the solid (Rgs), of the faces (Rgf), of the edges (Rge) and of the vertices (Rgv, which is equal to ro) of the13 Archimedean Solids, will be calculated. Units are arbitrary. Calculation of Rgs-values from the 13 Calatan Solids (duals of the Archimedean Solids) can be found here. Source of shape images: Wikipedia.


size: e ro A V




Shape Archimedean Solid V A e Rg(s) Rg(f) Rg(e) Rg(v)
Truncated Tetrahedron
Truncated Octahedron
Truncated Cube
Truncated Icosahedron
Truncated Dodecahedron
Cuboctahedron
Icosidodecahedron
Snub Cube
Snub Dodecahedron
Small Rhombicuboctahedron
Great Rhombicuboctahedron
Small Rhombicosidodecahedron
Great Rhombicosidodecahedron


Author: M.Kriechbaum, TU-Graz (2025), e-mail: manfred.kriechbaum@tugraz.at