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 }
Category:Shapes