Tetradekeract

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Tetradekeract
14-cube.png
Rank14
TypeRegular
SpaceSpherical
Info
Coxeter diagramx4o3o3o3o3o3o3o3o3o3o3o3o3o
Schläfli symbol{4,3,3,3,3,3,3,3,3,3,3,3,3}
SymmetryB14, order 1428329123020800
Army*
Regiment*
Elements
Vertex figureTetradecadokon, edge length 2
Tradaka28 tridekeracts
Doka364 dodekeracts
Henda2912 hendekeracts
Daka16016 dekeracts
Xenna64064 enneracts
Yotta192192 octeracts
Zetta439296 hepteracts
Exa768768 hexeracts
Peta1025024 penteracts
Tera1025024 tesseracts
Cells745472 cubes
Faces372736 squares
Edges114688
Vertices16384
Measures (edge length 1)
Circumradius14/2 ≈ 1.87083
Inradius1/2 = 0.5
Hypervolume1
Dixennal angle90°
Central density1
Euler characteristic0
Related polytopes
DualMyriahexachiliatriacosioctacontatetratradakon
ConjugateTetradekeract
Properties
ConvexYes
OrientableYes
NatureTame

The tetradekeract, also called the 14-cube or icosioctatradakon, is one of the 3 regular polytradaka. It has 28 tridekeracts as facets, joining 3 to a hendon and 14 to a vertex.

It is the 14-dimensional hypercube. As such it is a hepteract duoprism and square heptaprism.

It can be alternated into a demitetradekeract, which is uniform.

Vertex coordinates[edit | edit source]

The vertices of a tetradekeract of edge length 1, centered at the origin, are given by:

  • (±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2).