Omnitruncated tesseractic honeycomb

omnitruncated tesseractic honeycomb(No image)TypeUniform honeycombSchläfli symbolt0,1,2,3,4{4,3,3,4}Coxeter diagram4-face typeOmnitruncated tesseract Truncated cuboctahedral prism 8-8 duoprism Cell typeTruncated cuboctahedron Truncated octahedron Octagonal prism Hexagonal prism Cube Face type{4}, {6}, {8}Vertex figureirr. 5-cellCoxeter groups×2, PropertiesVertex transitive In four-dimensional Euclidean geometry, the omnitruncated tesseractic honeycomb is a uniform space-filling honeycomb. It has omnitruncated tesseract, truncated cuboctahedral prism, and 8-8 duoprism facets in an irregular 5-cell vertex figure.

Related honeycombs

See also Truncated square tiling Omnitruncated cubic honeycomb Regular and uniform honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb

References Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, p. 296, Table II: Regular honeycombs 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) x4x3x3x4x - otatit - O103