Hexateron

A hexateron is a 5-dimensional simplex. It is also called the pyroteron under the elemental naming scheme.

Hypervolumes

 * vertex count = $$6$$
 * edge length = $$15l$$
 * surface area = $$5\sqrt { 3 } { l } ^ { 2 }$$
 * surcell volume = $$\frac { 5\sqrt { 2 } }{ 4 } { l }^{ 3 }$$
 * surteron bulk = $$\frac { \sqrt { 5 } }{ 16 } { l }^{ 4 }$$
 * surpeton pentavolume = $$\frac { \sqrt { 3 } }{ 480 } { l }^{ 5 }$$

Subfacets

 * 6 points (0D)
 * 15 lines (1D)
 * 20 triangles (2D)
 * 15 tetrahedra (3D)
 * 6 pentachora (4D)