Cantitruncated tesseractic honeycomb(No image)TypeUniform 4-honeycombSchläfli symboltr{4,3,3,4}tr{4,3,31,1}Coxeter-Dynkin diagram4-face typet0,1,2{4,3,3} t0,1{3,3,4} {3,4}×{} Cell typeTruncated cuboctahedron Octahedron Truncated tetrahedron Triangular prism Face type{3}, {4}, {6}Vertex figureSquare double pyramidCoxeter group = [4,3,3,4] = [4,3,31,1]DualPropertiesvertex-transitive In four-dimensional Euclidean geometry, the cantitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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 *b3x4x, x4x3x3o4o - grittit - O94