Stericantitruncated 16-cell honeycomb explained
bgcolor=#e7dcc3 colspan=2 | Stericantitruncated 16-cell honeycomb |
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bgcolor=#ffffff align=center colspan=2 | (No image) |
Type | Uniform 4-honeycomb |
Schläfli symbol | t0,1,2,4 s2,3,4 |
Coxeter-Dynkin diagrams |
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4-face type | t0,1,2 t0,1,3 t0,1,2x t1xx
|
Cell type | |
Face type | |
Vertex figure | |
Coxeter groups |
, [3,4,3,3] |
Properties | Vertex transitive | |
In
four-dimensional Euclidean geometry, the
stericantitruncated 16-cell honeycomb is a uniform space-filling
honeycomb.
Alternate names
- Great cellirhombated icositetrachoric tetracomb (gicaricot)
- Runcicantic hexadecachoric tetracomb
See also
Regular and uniform honeycombs in 4-space:
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, http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html
- (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)
- x3x3x4o3x - gicaricot - O130