Truncated 16-cell honeycomb

Truncated 16-cell honeycomb(No image)TypeUniform honeycombSchläfli symbolst{3,3,4,3}h2{4,3,3,4}t{3,31,1,1}Coxeter diagrams = 4-face type{3,4,3} t{3,3,4} Cell type{3,3}t{3,3}Face type{3}{6}Vertex figurecubic pyramidCoxeter group = [3,3,4,3] = [4,3,31,1] = [31,1,1,1]Dual?Propertiesvertex-transitive In four-dimensional Euclidean geometry, the truncated 16-cell honeycomb (or cantic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by 24-cell and truncated 16-cell facets.

Alternate names Truncated hexadecachoric tetracomb / Truncated hexadecachoric honeycomb

Related honeycombs

See also Regular and uniform honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 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] George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs) (x3x3o *b3o4o), (x3x3o *b3o *b3o), x3x3o4o3o - thext - O105