6 Dimensional Shapes

==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)
==Hexeract==
A Hexeract is a 6-dimensional hypercube.
=== Hypervolumes===
*vertex count =64
*edge length =192l
*surface area =240{ l }^{ 2 }
*surcell volume =160{ l }^{ 3 }
*surteron bulk =60{ l }^{ 4 }
*surpeton pentavolume =12{ l }^{ 5 }
*surecton hexavolume ={ l }^{ 6 }
===Subfacets===
*64 points (0D)
*192 line segment (1D)
*240 squares (2D)
*160 cubes (3D)
*60 tesseracts (4D)
*12 penteracts (5D)
==6-orthoplex==
A 6-orthoplex (Hexarss) is the six-dimensional cross polytope. It is the dual of the hexeract and has a schläfli symbol of \{3,3,3,3,4\}.
===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 = N/A
*edge length = N/A
*surface area = N/A
*surcell volume = N/A
*surteron bulk = N/A
*surpeton pentavolume = \frac { { \pi }^{ 3 } }{ 32 } { l }^{ 5 }
*surecton hexavolume = \frac { { \pi }^{ 3 } }{ 384 } l^{ 6 }
Category:Shapes