Heptapeton

A heptapeton is a 6-dimensional simplex. It is also called the pyropeton under the elemental naming scheme.

Properties

Hypervolumes

• vertex count = $ 7 $
• edge length = $ 21l $
• surface area = $ \frac { 35\sqrt { 3 } }{ 4 } { l }^{ 2 } $
• surcell volume = $ \frac { 35\sqrt { 3 } }{ 12 } { l }^{ 3 } $
• surteron bulk = $ \frac { 7\sqrt { 5 } }{ 32 } { l }^{ 4 } $
• surpeton pentavolume = $ \frac { 7\sqrt { 3 } }{ 480 } { l }^{ 5 } $
• surexon hexavolume = $ \frac { \sqrt { 7 } }{ 5760 } { l }^{ 6 } $

Subfacets

• 7 points (0D)
• 21 lines (1D)
• 35 triangles (2D)
• 35 tetrahedra (3D)
• 21 pentachora (4D)
• 7 hexatera (5D)