Runcinated tesseractic honeycomb

Runcinated tesseractic honeycomb(No image)TypeUniform 4-honeycombSchläfli symbolt0,3{4,3,3,4}t0,3{4,3,31,1}Coxeter-Dynkin diagram4-face typeruncinated tesseract tesseract rectified tesseract cuboctahedral prism Cell typeCuboctahedron Tetrahedron Cube Triangular prism Face type{3}, {4}Vertex figuretriangular-antipodial antifastigiumCoxeter group = [4,3,3,4] = [4,3,31,1]DualPropertiesvertex-transitive In four-dimensional Euclidean geometry, the runcinated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a runcination of a tesseractic honeycomb creating runcinated tesseracts, and new tesseract, rectified tesseract and cuboctahedral prism facets.

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) x3o3x *b3o4x, x4o3o3x4o - sidpitit - O91