Runcinated 16-cell honeycomb(No image)TypeUniform 4-honeycombSchläfli symbolt03{3,3,4,3}Coxeter-Dynkin diagrams4-face typer{3,4,3}t03{4,3,3}r{3,4}x{}{3}x{3}Cell typer{3,4}{4,3}{3,3}Face type{3}, {4}Vertex figureCoxeter groups, [3,4,3,3]PropertiesVertex transitive In four-dimensional Euclidean geometry, the runcinated 16-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a runcination of the regular 16-cell honeycomb, containing Rectified 24-cell, runcinated tesseract, cuboctahedral prism, and 3-3 duoprism cells.
Alternate names Runcinated hexadecachoric tetracomb/honeycomb Small prismated demitesseractic tetracomb (spaht) Small disicositetrachoric tetracomb
Related honeycombs
See also Regular and uniform honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 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) Model 122 x3o3o4x3o - spaht - O122