Cantellated tesseractic honeycomb

Cantellated tesseractic honeycomb(No image)TypeUniform 4-honeycombSchläfli symbolt0,2{4,3,3,4} or rr{4,3,3,4}rr{4,3,31,1}Coxeter-Dynkin diagram4-face typet0,2{4,3,3} t1{3,3,4} {3,4}×{} Cell typeOctahedron Rhombicuboctahedron Triangular prism Face type{3}, {4}Vertex figureCubic wedgeCoxeter group = [4,3,3,4] = [4,3,31,1]DualPropertiesvertex-transitive 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.

Related honeycombs

See also Regular and uniform honeycombs in 4-space: Tesseractic honeycomb Demitesseractic honeycomb 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb

Notes

References Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] See p318 George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs) o3x3o *b3o4x, x4o3x3o4o - srittit - O90