Calculator for Platonic Solids (SAS)
Enter the value (a) for either the edge length, circum-radius, in-sphere-radius, mid-radius, surface or volume, respectively, of a Tetrahedron / Hexahedron / Octahedron / Dodecahedron / Icosahedron. Their radius of gyration (Rg) of the solid, of the surface (faces) and of the perimeter (edges) will be calculated together with the volume, the surface (sum of all face areas) and the perimeter (sum of all edge lengths), as well as for comparison also for a sphere with the value (=a) for the selected parameter (sphere radius r, surface or volume, respectively). Units are arbitrary.
a :
edge-length
circum-radius
in-sphere-radius
mid-radius
Surface
Volume
Rg(edges)
Rg(surface)
Rg(solid)
Parameter
Tetrahedron
Hexahedron
Octahedron
Dodecahedron
Icosahedron
Sphere
Shape
edge-length a
in-sphere r
mid-sphere r
circum-sphere r
Perimeter
Surface
Volume
Rg (edges)
Rg (surface)
Rg (solid)
Author:
M.Kriechbaum
, TU-Graz (2013), e-mail:
manfred.kriechbaum@tugraz.at
Many thanks for the animated GIFs of the Platonic Shapes to
Ruediger Appel
!