Bitruncated tesseract
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| Bitruncated tesseract | |
|---|---|
  Two Schlegel diagrams, centered on truncated tetrahedral or truncated octahedral cells, with alternate cell types hidden. |
|
| 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} t0,1,2{31,1,1} |
| Coxeter-Dynkin diagrams |         |
| Symmetry group | B4, [3,3,4] D4, [31,1,1] |
| Properties | convex |
In geometry, the bitruncated tesseract (also called a bitruncated 16-cell) 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
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