Bitruncated tesseract

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Bitruncated tesseract

Schlegel diagram
Type Uniform polychoron
Cells 8 4.6.6
16 3.6.6
Faces 24 {4}
64 {6}
32 {3}
Edges 192
Vertices 96
Vertex figure digonal disphenoid
(irregular tetrahedron)
2 4.6.6 & 2 3.6.6
Schläfli symbol t1,2{4,3,3}
Coxeter-Dynkin diagrams Image:CDW_dot.pngImage:CDW_4.pngImage:CDW_ring.pngImage:CDW_3.pngImage:CDW_ring.pngImage:CDW_3.pngImage:CDW_dot.png
Image:CD_ring.pngImage:CD_3.pngImage:CD_downbranch-11.pngImage:CD_3.pngImage:CD_dot.png
Symmetry group B4, [3,3,4]
Properties convex

In geometry, the bitruncated tesseract is a uniform polychoron.

[edit] Construction

A tesseract is bitruncated by truncating its cells beyond their mid-points, turning the eight cubes into eight truncated octahedra. These still share their square faces, but the hexagonal faces form truncated tetrahedra which share their triangular faces with each other.

[edit] See also

[edit] External links