Runcinated 24-cell honeycomb

Runcinated 24-cell honeycomb(No image)TypeUniform 4-honeycombSchläfli symbolt0,3{3,4,3,3}Coxeter-Dynkin diagrams4-face typet0,3{3,4,3} {3,4,3} {3,4}x{} {3}x{3} Cell type{3,4}{3}x{}Face type{3}, {4}Vertex figureCoxeter groups, [3,4,3,3]PropertiesVertex transitive In four-dimensional Euclidean geometry, the runcinated 24-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a runcination of the regular 24-cell honeycomb, containing runcinated 24-cell, 24-cell, octahedral prism, and 3-3 duoprism cells.

Alternate names Runcinated icositetrachoric tetracomb/honeycomb Small prismated icositetrachoric tetracomb (spict) Small prismatotetracontaoctachoric 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 115 o3x3o4o3x - spict - O115