Bitruncated 16-cell honeycomb

Bitruncated 16-cell honeycomb(No image)TypeUniform honeycombSchläfli symbolt1,2{3,3,4,3}h2,3{4,3,3,4}2t{3,31,1,1}Coxeter-Dynkin diagram = = 4-face typeTruncated 24-cell Bitruncated tesseract Cell typeCube Truncated octahedron Truncated tetrahedron Face type{3}, {4}, {6}Vertex figureCoxeter group = [3,3,4,3] = [4,3,31,1] = [31,1,1,1]Dual?Propertiesvertex-transitive In four-dimensional Euclidean geometry, the bitruncated 16-cell honeycomb (or runcicantic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. Symmetry constructions There are 3 different symmetry constructions, all with 3-3 duopyramid vertex figures. The symmetry doubles on in three possible ways, while contains the highest symmetry.

Affine Coxeter group[3,3,4,3][4,3,31,1][31,1,1,1]Coxeter diagram4-faces

See also Regular and uniform honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 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] George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs) x3x3x *b3x *b3o, x3x3o *b3x4o, o3x3x4o3o - bithit - O107