Stericated 24-cell honeycomb

Stericated 24-cell honeycombStericated 16-cell honeycomb(No image)TypeUniform 4-honeycombSchläfli symbolt04{3,4,3,3}Coxeter-Dynkin diagrams4-face type{3,4,3} {3,3,4} {3,4}x{} {3,3}x{} {3}x{3} Cell type{3,4}{3,3}{3}x{}Face type{3}, {4}Vertex figureCoxeter groups, [3,4,3,3]PropertiesVertex transitive In four-dimensional Euclidean geometry, the stericated 24-cell honeycomb (or stericated 16-cell honeycomb) is a uniform space-filling honeycomb. It can be seen as a sterication of the regular 24-cell honeycomb, containing 24-cell, 16-cell, octahedral prism, tetrahedral prism, and 3-3 duoprism cells.

Alternate names Stericated icositetrachoric/hexadecaachoric tetracomb/honeycomb Small cellated demitesseractic tetracomb (scicot)

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 121 (Wrongly named runcinated icositetrachoric honeycomb) x3o3o4o3x - scicot - O121