Dodecahedron

A dodecahedron is a polyhedron, one of the five three-dimensional platonic solids, and has twelve congruent pentagonal faces. It has a schläfli symbol of $$\{5, 3\}$$. Its dual is the icosahedron.

Hypervolumes

 * vertex count = $$20$$
 * edge length = $$30l$$
 * surface area = $$3{ l }^{ 2 }\sqrt { 5(5+2\sqrt { 5 }) } $$
 * surcell volume = $$\frac { 15+7\sqrt { 5 } }{ 4 } { l }^{ 3 }$$

Subfacets

 * 20 points (0D)
 * 30 line segments (1D)
 * 12 pentagons (2D)