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 = $$2304l$$
 * 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= $$\frac { { \pi }^{ 4 } }{ 15120 } { l }^{ 9 }$$