9 Dimensional Shapes

Decayotton

The decayotton is the 9-dimensional simplex. It is also known as the pyroyotton under the elemental naming scheme.

Subfacets

• 10 points (0D)
• 45 line segments (1D)
• 120 triangles (2D)
• 210 tetrahedra (3D)
• 252 pentachora (4D)
• 210 hexatera (5D)
• 120 heptapeta (6D)
• 45 octaexa (7D)
• 10 enneazetta (8D)

Enneract

Enneract is the 9-hypercube. Since the number of dimensions is a square number, the diagonal of a unit enneract is an integer - in this case, 3.

Hypervolumes

• vertex count = $512$
• edge length = $2304 l$
• surface area = $4608{ l }^{ 2 }$
• surcell volume = $5376{ l }^{ 3 }$
• surteron bulk = $4032{ l }^{ 4 }$
• surpeton pentavolume = $2016{ l }^{ 5 }$
• surecton hexavolume = $672{ l }^{ 6 }$
• surzetton heptavolume = $144{ l }^{ 7 }$
• suryotton octavolume = $18{ l }^{ 8 }$
• surxennon enneavolume = ${ l }^{ 9 }$

Subfacets

• 512 points (0D)
• 2304 line segments (1D)
• 4608 squares (2D)
• 5376 cubes (3D)
• 4032 tesseracts (4D)
• 2016 penteracts (5D)
• 672 hexeracts (6D)
• 144 hepteracts (7D)
• 18 octeracts (8D)

9-orthoplex

9-orthoplex (Ennears) is the 9 dimensional cross polytope.

Enneaphere

An enneaphere is the 9-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 = $N/A$
• surecton hexavolume = $N/A$
• surzetton heptavolume = $N/A$
• suryotton octavolume = $\frac { { \pi }^{ 4 } }{ 840 } { l }^{ 8 }$
• surxennon enneavolume = $\frac { { \pi }^{ 4 } }{ 15120 } { l }^{ 9 }$