Bitruncated tesseractic honeycomb(No image)TypeUniform 4-honeycombSchläfli symbolt1,2{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 = 4-face typeBitruncated tesseract Truncated 16-cell Cell typeOctahedron Truncated tetrahedron Truncated octahedron Face type{3}, {4}, {6}Vertex figureSquare-pyramidal pyramidCoxeter group = [4,3,3,4] = [4,31,1] = [31,1,1,1]DualPropertiesvertex-transitive 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.
Other names Bitruncated tesseractic tetracomb (batitit)
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) x3x3x *b3o *b3o, x3x3x *b3o4o, o3x3o *b3x4o, o4x3x3o4o - batitit - O92