Geometry 3D

The Dodecahedron

The surface of a Dodecahedron consists of twelve regular pentagons and is therefore one of the five Platonic solids.

The following elements of a Dodecahedron are calculated if one of them is given:

Example:

Given:
      Circumradius rc = 1

Results:       Edge a = 0,71364418
      Face Diagonal d = 1,1547005
      Face Altitude h = 1,0981855
      Circumradius rc = 1
          Inradius ri = 0,79465447
             Volume V = 2,7851639
            Surface S = 10,514622

See also:

Wikipedia: Platonic solid
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