Dekeract

Dimensionality

10

Schläfli Symbol

'"`UNIQ--postMath-00000001-QINU`"'

Subfacets

Cells

15360 cubes

Tera

13440 tesseracts

Peta

8064 penteracts

Ecta

3360 hexeracts

Zetta

960 hepteracts

Yotta

180 octeracts

Xenna

20 enneracts

Daka

1 dekeract

Hypervolumes

Vertex Count

'"`UNIQ--postMath-00000002-QINU`"'

Edge Length

'"`UNIQ--postMath-00000003-QINU`"'

Surface Area

'"`UNIQ--postMath-00000004-QINU`"'

Surcell Volume

'"`UNIQ--postMath-00000005-QINU`"'

Surteron Bulk

'"`UNIQ--postMath-00000006-QINU`"'

Surpeton Pentavolume

'"`UNIQ--postMath-00000007-QINU`"'

Surecton Hexavolume

'"`UNIQ--postMath-00000008-QINU`"'

Surzetton Heptavolume

'"`UNIQ--postMath-00000009-QINU`"'

Suryotton Octavolume

'"`UNIQ--postMath-0000000A-QINU`"'

Surxennon Enneavolume

'"`UNIQ--postMath-0000000B-QINU`"'

Surdakon Dekavolume

'"`UNIQ--postMath-0000000C-QINU`"'

A dekeract is the 10-dimensional hypercube. It can be considered to be a prism with an enneract as the base.

Under the elemental naming scheme, it is called a geoxennon.

Structure and Sections[]

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)
1 dekeract (10D)

Hypervolumes[]

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

See Also[]

Dimensionality	Negative One	Zero	One	Two	Three	Four	Five	Six	Seven	Eight	Nine	Ten	Eleven	Twelve	Thirteen	Fourteen	Fifteen	Sixteen	Seventeen	...	Aleph null
Simplex $\{3^{n-1}\}$	Null polytope $)($ $\emptyset$	Point $()$ $\mathbb{B}^0$	Line segment $\{\}$ $\mathbb{B}^1$	Triangle $\{3\}$	Tetrahedron $\{3^2\}$	Pentachoron $\{3^3\}$	Hexateron $\{3^4\}$	Heptapeton $\{3^5\}$	Octaexon $\{3^6\}$	Enneazetton $\{3^7\}$	Decayotton $\{3^8\}$	Hendecaxennon $\{3^9\}$	Dodecadakon $\{3^{10}\}$	Tridecahendon $\{3^{11}\}$	Tetradecadokon $\{3^{12}\}$	Pentadecatradakon $\{3^{13}\}$	Hexadecatedakon $\{3^{14}\}$	Heptadecapedakon $\{3^{15}\}$	Octadecapedakon $\{3^{16}\}$	...	Omegasimplex
Cross $\{3^{n-2},4\}$				Square $\{4\}$	Octahedron $\{3, 4\}$	Hexadecachoron $\{3^2, 4\}$	Pentacross $\{3^3, 4\}$	Hexacross $\{3^4, 4\}$	Heptacross $\{3^5, 4\}$	Octacross $\{3^6, 4\}$	Enneacross $\{3^7, 4\}$	Dekacross $\{3^8, 4\}$	Hendekacross $\{3^9, 4\}$	Dodekacross $\{3^{10}, 4\}$	Tridekacross $\{3^{11}, 4\}$	Tetradekacross $\{3^{12}, 4\}$	Pentadekacross $\{3^{13}, 4\}$	Hexadekacross $\{3^{14}, 4\}$	Heptadekacross $\{3^{15},4\}$	...	Omegacross
Hydrotopes $\{3^{n-2}, 5\}$				Pentagon $\{5\}$	Icosahedron $\{3, 5\}$	Hexacosichoron $\{3^2, 5\}$	Order-5 pentachoric tetracomb $\{3^3, 5\}$	Order-5 hexateric pentacomb $\{3^4, 5\}$	...
Hypercube $\{4, 3^{n-2}\}$				Square $\{4\}$	Cube $\{4,3\}$	Tesseract $\{4, 3^2\}$	Penteract $\{4, 3^3\}$	Hexeract $\{4, 3^4\}$	Hepteract $\{4, 3^5\}$	Octeract $\{4, 3^6\}$	Enneract $\{4, 3^7\}$	Dekeract $\{4, 3^8\}$	Hendekeract $\{4, 3^9\}$	Dodekeract $\{4, 3^{10}\}$	Tridekeract $\{4, 3^{11}\}$	Tetradekeract $\{4, 3^{12}\}$	Pentadekeract $\{4, 3^{13}\}$	Hexadekeract $\{4, 3^{14}\}$	Heptadekeract $\{4,3^{15}\}$	...	Omegeract
Cosmotopes $\{5, 3^{n-2}\}$				Pentagon $\{5\}$	Dodecahedron $\{5, 3\}$	Hecatonicosachoron $\{5, 3^2\}$	Order-3 hecatonicosachoric tetracomb $\{5, 3^3\}$	Order-3-3 hecatonicosachoric pentacomb $\{5, 3^4\}$	...
Hyperball $\mathbb B^n$				Disk $\mathbb B^2$	Ball $\mathbb B^3$	Gongol $\mathbb B^4$	Pentorb $\mathbb B^5$	Hexorb $\mathbb B^6$	Heptorb $\mathbb B^7$	Octorb $\mathbb B^8$	Enneorb $\mathbb B^9$	Dekorb $\mathbb B^{10}$	Hendekorb $\mathbb B^{11}$	Dodekorb $\mathbb B^{12}$	Tridekorb $\mathbb B^{13}$	Tetradekorb $\mathbb B^{14}$	Pentadekorb $\mathbb B^{15}$	Hexadekorb $\mathbb B^{16}$	Heptadekorb $\mathbb {B} ^{17}$	...	Omegaball $\mathbb B^{\aleph_0}$