Radius of Gyration (Rg) of the 13 Catalan Solids
Enter the size of either the inscribed sphere-radius (ri) or the surface area (A) or the volume (V), of the polyhedra and the values for ri, A, V and for the Radius of Gyration of the solid Rg(s) for the 13 Catalan Solids (duals of the Archimedean Solids) will be calculated. Units are arbitrary.
size:
ri
A
V
Catalan Solid
V
A
ri
Rg(s)
Rg(s)
Triakis Tetrahedron
Tetrakis Hexahedron
Triakis Octahedron
Pentakis Dodecahedron
Triakis Icosahedron
Rhombic Dodecahedron
Rhombic Triacontahedron
Pentagonal Icositetrahedron
Pentagonal Hexecontahedron
Deltoidal Icositetrahedron
Disdyakis Dodecahedron
Deltoidal Hexecontahedron
Disdyakis Triacontahedron
Author:
M.Kriechbaum
, TU-Graz (2025), e-mail:
manfred.kriechbaum@tugraz.at