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| Runcinated 16-cell honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Schläfli symbol | t03{3,3,4,3} |
| Coxeter-Dynkin diagrams | |
| 4-face type | r{3,4,3} t03{4,3,3} r{3,4}x{} {3}x{3} |
| Cell type | r{3,4} {4,3} {3,3} |
| Face type | {3}, {4} |
| Vertex figure | |
| Coxeter groups | , [3,4,3,3] |
| Properties | Vertex 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
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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, ISBN 0-486-61480-8 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, ISBN 978-0-471-01003-6 [1]
- (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
- Template:KlitzingPolytopes x3o3o4x3o - spaht - O122
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