Pentachoron

A pentachoron is a 4-dimensional simplex. It is also called the pyrochoron under the elemental naming scheme. Its Bowers acronym is "pen".
== Properties ==
===Structure===
The pentachoron is the pyramid on the tetrahedron, with 4 tetrahedra on each vertex.
=== Hypervolumes ===
* vertex count = 5
* edge length = 10
* surface area = \frac { 5\sqrt { 3 } }{ 2 } { l }^{ 2 }
* surcell volume = \frac { \sqrt { 2 } }{ 3 } { l }^{ 3 }
* surteron bulk = \frac { \sqrt { 5 } }{ 96 } { l }^{ 4 }
=== Subfacets ===
* 5 points (0D)
* 10 lines (1D)
* 10 triangles (2D)
* 5 tetrahedra (3D)
=== See also ===
Category:Simplex
Category:List of 4th dimension
Category:Shapes
Category:Polychora
Category:Regular polychora