Changes: 10 Dimensional Shapes

Revision as of 21:42, 26 February 2021

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)

@@ Line 1: / Line 1: @@
+''Note: The following is a merger of deleted low-quality pages into a higher-quality page.''
-== Decarss ==
-A '''Decarss''' is the ten-dimensional [[cross polytope]]. It is the dual of the [[dekeract]] and has a [[schläfli symbol]] of <math>\{3,3,3,3,3,3,3,3,4\}</math>.
+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 <math>\{3,3,3,3,3,3,3,3,4\}</math>.
 == Dekeract ==
@@ Line 11: / Line 14: @@
 *[[surcell volume]] = <math>15360{ l }^{ 3 }</math>
 *[[surteron bulk]] = <math>13440{ l }^{ 4 }</math>
-*[[surpeton pentavolume]] = <math>8064{ l }^{ 5 }</math>
+*surpeton pentavolume = <math>8064{ l }^{ 5 }</math>
-*[[surecton hexavolume]]  = <math>3360{ l }^{ 6 }</math>
+*surecton hexavolume  = <math>3360{ l }^{ 6 }</math>
-*[[surzetton heptavolume]] = <math>960{ l }^{ 7 }</math>
+*surzetton heptavolume = <math>960{ l }^{ 7 }</math>
-*[[suryotton octavolume]] = <math>180{ l }^{ 8 }</math>
+*suryotton octavolume = <math>180{ l }^{ 8 }</math>
-*[[surxennon enneavolume]] = <math>20{ l }^{ 9 }</math>
+*surxennon enneavolume = <math>20{ l }^{ 9 }</math>
-*[[surdakon decavolume]] = <math>{ l }^{ 10 }</math>
+*surdakon decavolume = <math>{ l }^{ 10 }</math>
 ===Subfacets===
@@ Line 33: / Line 36: @@
 == Hendecaxennon ==
 The '''hendecaxennon''' is the 10-dimensional simplex. It is also known as the '''pyroxennon''' under the elemental naming scheme.
-==Subfacets==
+===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)
+[[Category:Shapes]]
-*11 [[point|points]] (0D)
+[[Category:Dimensions]]
-*55 [[Line segment|line segments]] (1D)
-*165 [[triangle|triangles]] (2D)
-*330 [[Tetrahedron|tetrahedra]] (3D)
-*462 [[pentachoron|pentachora]] (4D)
-*462 [[Hexateron|hexatera]] (5D)
-*330 [[heptapeton|heptapeta]] (6D)
-*165 [[octaexon|octaexa]] (7D)
-*55 [[enneazetton|enneazetta]] (8D)
-*11 [[decayotton|decayotta]] (9D)