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}.

$\{5, 3\}$ . 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)