
Skeleton graph of the heptapeton
Contents
Heptapeton
A heptapeton is a 6-dimensional simplex. It is also called the pyropeton under the elemental naming scheme.
Properties
Hypervolumes
- vertex count =
- edge length =
- surface area =
- surcell volume =
- surteron bulk =
- surpeton pentavolume =
- surexon hexavolume =
Subfacets
- 7 points (0D)
- 21 lines (1D)
- 35 triangles (2D)
- 35 tetrahedra (3D)
- 21 pentachora (4D)
- 7 hexatera (5D)
Hexeract

A Hexeract is a 6-dimensional hypercube.
Hypervolumes
- vertex count =
- edge length =
- surface area =
- surcell volume =
- surteron bulk =
- surpeton pentavolume =
- surecton hexavolume =
Subfacets
- 64 points (0D)
- 192 line segment (1D)
- 240 squares (2D)
- 160 cubes (3D)
- 60 tesseracts (4D)
- 12 penteracts (5D)
6-orthoplex

An icosahedrally symmetric projection of the 6-orthoplex down to three dimensions
A 6-orthoplex (Hexarss) is the six-dimensional cross polytope. It is the dual of the hexeract and has a schläfli symbol of .
Subfacets
- 12 points (0D)
- 60 line segments (1D)
- 160 triangles (2D)
- 240 tetrahedrons (3D)
- 192 tetrarsses (4D)
- 64 pentarsses (5D)
Hexaphere
A hexaphere is the 6-dimensional hypersphere.
Hypervolumes
- vertex count =
- edge length =
- surface area =
- surcell volume =
- surteron bulk =
- surpeton pentavolume =
- surecton hexavolume =