Steriruncic tesseractic honeycomb(No image)TypeUniform honeycombSchläfli symbolh3,4{4,3,3,4}Coxeter-Dynkin diagram = 4-face typer{4,3,4}t{4,3,4}t0,1,3{4,3,4}{3,3}×{}Cell typet{4,3}{3,3}r{4,3}{3}×{}t{4}×{}Face type{8}{4}{3}Vertex figureCoxeter group = [4,3,31,1]Dual?Propertiesvertex-transitive In four-dimensional Euclidean geometry, the steriruncic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
Alternate names Prismatorhombated demitesseractic tetracomb (pirhatit) Great prismatodemitesseractic tetracomb
Related honeycombs
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) x3o3o *b3x4x - pirhatit - O110