Cantellated tesseractic honeycomb
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In four-dimensional Euclidean geometry, the cantellated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a cantellation of a tesseractic honeycomb creating cantellated tesseracts, and new 24-cell and octahedral prism facets at the original vertices.
Cantellated tesseractic honeycomb | |
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(No image) | |
Type | Uniform 4-honeycomb |
Schläfli symbol | t0,2{4,3,3,4} or rr{4,3,3,4} rr{4,3,31,1} |
Coxeter-Dynkin diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-face type | t0,2{4,3,3} ![]() t1{3,3,4} ![]() {3,4}×{} ![]() |
Cell type | Octahedron ![]() Rhombicuboctahedron ![]() Triangular prism ![]() |
Face type | {3}, {4} |
Vertex figure | Cubic wedge |
Coxeter group | |
Dual | |
Properties | vertex-transitive |