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Cantic 8-cube

A uniform 8-polytope From Wikipedia, the free encyclopedia

Cantic 8-cube
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In eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, being a truncation of the 8-demicube.

Cantic 8-cube
Thumb
D8 Coxeter plane projection
Typeuniform 8-polytope
Schläfli symbolt0,1{3,35,1}
h2{4,3,3,3,3,3,3}
Coxeter-Dynkin diagram
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure( )v{ }x{3,3,3,3}
Coxeter groupsD8, [35,1,1]
Propertiesconvex
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Alternate names

  • Truncated demiocteract
  • Truncated hemiocteract (Jonathan Bowers)

Cartesian coordinates

The Cartesian coordinates for the vertices of a truncated 8-demicube centered at the origin and edge length 6√2 are coordinate permutations:

(±1,±1,±3,±3,±3,±3,±3,±3)

with an odd number of plus signs.

Images

More information Coxeter plane, B8 ...

Notes

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References

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