Changes: 9 Dimensional Shapes

Latest revision as of 21:43, 26 February 2021

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

@@ Line 1: / Line 1: @@
 == Decayotton ==
 The '''decayotton''' is the 9-dimensional simplex. It is also known as the '''pyroyotton''' under the elemental naming scheme.
-==Subfacets==
+===Subfacets===
 *10 [[point|points]] (0D)
@@ Line 21: / Line 21: @@
 * [[surcell volume]] = <math>5376{ l }^{ 3 }</math>
 * [[surteron bulk]] = <math>4032{ l }^{ 4 }</math>
-* [[surpeton pentavolume]] = <math>2016{ l }^{ 5 }</math>
+* surpeton pentavolume = <math>2016{ l }^{ 5 }</math>
-* [[surecton hexavolume]]  = <math>672{ l }^{ 6 }</math>
+* surecton hexavolume  = <math>672{ l }^{ 6 }</math>
-* [[surzetton heptavolume]] = <math>144{ l }^{ 7 }</math>
+* surzetton heptavolume = <math>144{ l }^{ 7 }</math>
-* [[suryotton octavolume]] = <math>18{ l }^{ 8 }</math>
+* suryotton octavolume = <math>18{ l }^{ 8 }</math>
-* [[surxennon enneavolume]] = <math>{ l }^{ 9 }</math>
+* surxennon enneavolume = <math>{ l }^{ 9 }</math>
 === Subfacets ===
-*512 [[point]]s (0D)
+*512 points (0D)
-*2304 [[Line Segment|line segments]] (1D)
+*2304 line segments (1D)
-*4608 [[square]]s (2D)
+*4608 squares (2D)
-*5376 [[cube]]s (3D)
+*5376 cubes (3D)
-*4032 [[tesseract]]s (4D)
+*4032 tesseracts (4D)
-*2016 [[penteract]]s (5D)
+*2016 penteracts (5D)
-*672 [[hexeract]]s (6D)
+*672 hexeracts (6D)
-*144 [[hepteract]]s (7D)
+*144 hepteracts (7D)
-*18 [[Octeract|octeracts]] (8D)
+*18 octeracts (8D)
 ==9-orthoplex==
 -orthoplex ''(Ennears)'' is the 9 dimensional cross polytope.
@@ Line 42: / Line 43: @@
 ===  Hypervolumes ===
-* [[vertex count]] = <math>N/A</math>
+* vertex count = <math>N/A</math>
-* [[edge length]] = <math>N/A</math>
+* edge length = <math>N/A</math>
-* [[surface area]] = <math>N/A</math>
+* surface area = <math>N/A</math>
-* [[surcell volume]] = <math>N/A</math>
+* surcell volume = <math>N/A</math>
-* [[surteron bulk]] = <math>N/A</math>
+* surteron bulk = <math>N/A</math>
-* [[surpeton pentavolume]] = <math>N/A</math>
+* surpeton pentavolume = <math>N/A</math>
-* [[surecton hexavolume]]  = <math>N/A</math>
+* surecton hexavolume  = <math>N/A</math>
-* [[surzetton heptavolume]] = <math>N/A</math>
+* surzetton heptavolume = <math>N/A</math>
-* [[suryotton octavolume]] = <math>\frac { { \pi  }^{ 4 } }{ 840 } { l }^{ 8 }</math>
+* suryotton octavolume = <math>\frac { { \pi  }^{ 4 } }{ 840 } { l }^{ 8 }</math>
-* [[surxennon enneavolume]] = <math>\frac { { \pi  }^{ 4 } }{ 15120 } { l }^{ 9 }</math>
+* surxennon enneavolume= <math>\frac { { \pi  }^{ 4 } }{ 15120 } { l }^{ 9 }</math>
 [[Category:Shapes]]