Dodecahedron

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)