8 Dimensional Shapes

Enneazetton

An enneazetton is an 8-dimensional simplex. It is also called the pyrozetton under the elemental naming scheme.

Subfacets

• 9 points (0D)
• 36 line segments (1D)
• 84 triangles (2D)
• 126 tetrahedra (3D)
• 126 pentachora (4D)
• 84 hexatera (5D)
• 36 heptapeta (6D)
• 9 octaexa (7D)

Octeract

Octeract is the 8-hypercube.

Hypervolumes

• vertex count =$256$
• edge length =$1024 l$
• surface area =$1792{ l }^{ 2 }$
• surcell volume =$1792{ l }^{ 3 }$
• surteron bulk =$1120{ l }^{ 4 }$
• surpeton pentavolume =$448{ l }^{ 5 }$
• surecton hexavolume =$112{ l }^{ 6 }$
• surzetton heptavolume =$16{ l }^{ 7 }$
• suryotton octavolume =${ l }^{ 8 }$

Subfacets

• 256 points (0D)
• 1024 line segments (1D)
• 1792 squares (2D)
• 1792 cubes (3D)
• 1120 tesseracts (4D)
• 448 penteracts (5D)
• 112 hexeracts (6D)
• 16 hepteracts (7D)

8-orthoplex

An 8-orthoplex (Octarss) is an 8 dimensional shape.

8-orthoplex
Geometry
Dimensionality	8D
Schläfli Symbol	{10}
Subfacets
Vertices	12
Edges	15
Faces	16

Octaphere

The octaphere is a 8-dimensional hypersphere.