Bitruncated tesseractic honeycomb
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In four-dimensional Euclidean geometry, the bitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a bitruncation of a tesseractic honeycomb. It is also called a cantic quarter tesseractic honeycomb from its q2{4,3,3,4} construction.
Bitruncated tesseractic honeycomb | |
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(No image) | |
Type | Uniform 4-honeycomb |
Schläfli symbol | t1,2{4,3,3,4} or 2t{4,3,3,4} t1,2{4,31,1} or 2t{4,31,1} t2,3{4,31,1} q2{4,3,3,3,4} |
Coxeter-Dynkin diagram |
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4-face type | Bitruncated tesseract Truncated 16-cell |
Cell type | Octahedron Truncated tetrahedron Truncated octahedron |
Face type | {3}, {4}, {6} |
Vertex figure | Square-pyramidal pyramid |
Coxeter group | = [4,3,3,4] = [4,31,1] = [31,1,1,1] |
Dual | |
Properties | vertex-transitive |