10 Dimensional Shapes

Note: The following is a merger of deleted low-quality pages into a higher-quality page.

some physicists have speculated that our universe might have 10 dimensions.

10-orthoplex
A 10-orthoplex (Decarss) is the ten-dimensional cross polytope. It is the dual of the dekeract and has a schläfli symbol of $$\{3,3,3,3,3,3,3,3,4\}$$.

Dekeract
Dekeract is the 10-hypercube.

Hypervolumes

 * vertex count = $$1024$$
 * edge length = $$5120l$$
 * surface area = $$11520{ l }^{ 2 }$$
 * surcell volume = $$15360{ l }^{ 3 }$$
 * surteron bulk = $$13440{ l }^{ 4 }$$
 * surpeton pentavolume = $$8064{ l }^{ 5 }$$
 * surecton hexavolume = $$3360{ l }^{ 6 }$$
 * surzetton heptavolume = $$960{ l }^{ 7 }$$
 * suryotton octavolume = $$180{ l }^{ 8 }$$
 * surxennon enneavolume = $$20{ l }^{ 9 }$$
 * surdakon decavolume = $${ l }^{ 10 }$$

Subfacets

 * 1024 points (0D)
 * 5120 line segments (1D)
 * 11520 squares (2D)
 * 15360 cubes (3D)
 * 13440 tesseracts (4D)
 * 8064 penteracts (5D)
 * 3360 hexeracts (6D)
 * 960 hepteracts (7D)
 * 180 octeracts (8D)
 * 20 enneracts (9D)

Hendecaxennon
The hendecaxennon is the 10-dimensional simplex. It is also known as the pyroxennon under the elemental naming scheme.

Subfacets

 * 11 points (0D)
 * 55 line segments (1D)
 * 165 triangles (2D)
 * 330 tetrahedra (3D)
 * 462 pentachora (4D)
 * 462 hexatera (5D)
 * 330 heptapeta (6D)
 * 165 octaexa (7D)
 * 55 enneazetta (8D)
 * 11 decayotta (9D)

Decaphere
A 10 dimensional sphere.