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| | Im addicted to my hobby Rock climbing. Appears boring? Not at all!<br>I also to learn Danish in my free time.<br><br>My homepage - Hostgator 1 cent coupon - [https://cyclingboutique.zendesk.com/entries/47343260-Hostgator-Status cyclingboutique.zendesk.com] - |
| !bgcolor=#e7dcc3 colspan=2|Cantellated 24-cell honeycomb | |
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| |bgcolor=#ffffff align=center colspan=2|(No image)
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| |bgcolor=#e7dcc3|Type||[[Uniform_polyteron#Regular_and_uniform_honeycombs|Uniform 4-honeycomb]]
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| |bgcolor=#e7dcc3|[[Schläfli symbol]]||rr{3,4,3,3}<BR>s<sub>2</sub>{3,4,3,3}
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| |bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]s||{{CDD|node_1|3|node|4|node_1|3|node|3|node}}<BR>{{CDD|node_h|3|node_h|4|node_1|3|node|3|node}}
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| |bgcolor=#e7dcc3|4-face type||[[cantellated 24-cell|rr{3,4,3}]] [[File:Cantel 24cell1.png|40px]]<BR>[[rectified tesseract|r{3,4,3}]] [[File:Schlegel half-solid rectified 8-cell.png|40px]]<BR>[[tetrahedral prism|{3,3}×{}]] [[File:Tetrahedral prism.png|40px]]
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| |bgcolor=#e7dcc3|Cell type||[[rhombicuboctahedron|rr{4,3}]]<BR>[[cuboctahedron|r{4,3}]]<BR>[[Tetrahedron|{3,3}]]<BR>[[triangular prism|{3}×{}]]
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| |bgcolor=#e7dcc3|Face type||{3}, {4}
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| |bgcolor=#e7dcc3|[[Vertex figure]]||
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| |bgcolor=#e7dcc3|[[Coxeter group]]s||<math>{\tilde{F}}_4</math>, [3,4,3,3]
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| |bgcolor=#e7dcc3|Properties||[[Vertex transitive]]
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| In [[Four-dimensional space|four-dimensional]] [[Euclidean geometry]], the '''cantellated 24-cell honeycomb''' is a uniform space-filling [[honeycomb (geometry)|honeycomb]]. It can be seen as a [[Cantellation (geometry)|cantellation]] of the regular [[24-cell honeycomb]], containing [[rectified tesseract]], [[cantellated 24-cell]], and [[tetrahedral prism]] cells.
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| == Alternate names==
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| * Cantellated icositetrachoric tetracomb/honeycomb
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| * Small rhombated demitesseractic tetracom (sricot)
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| * Small prismatodisicositetrachoric tetracomb
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| == Related honeycombs==
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| {{F4 honeycombs}}
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| == See also ==
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| Regular and uniform honeycombs in 4-space:
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| *[[Tesseractic honeycomb]]
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| *[[16-cell honeycomb]]
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| *[[24-cell honeycomb]]
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| *[[Rectified 24-cell honeycomb]]
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| *[[Snub 24-cell honeycomb]]
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| *[[5-cell honeycomb]]
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| *[[Truncated 5-cell honeycomb]]
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| *[[Omnitruncated 5-cell honeycomb]]
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| == References ==
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| * [[Coxeter|Coxeter, H.S.M.]] ''[[Regular Polytopes (book)|Regular Polytopes]]'', (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p. 296, Table II: Regular honeycombs
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| * '''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 [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
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| ** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'', [Math. Zeit. 200 (1988) 3-45]
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| * [[George Olshevsky]], ''Uniform Panoploid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)'' Model 112
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| * {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} o3o3x4o3x - sricot - O112
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| {{Honeycombs}}
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| [[Category:5-polytopes]]
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| [[Category:Honeycombs (geometry)]]
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Im addicted to my hobby Rock climbing. Appears boring? Not at all!
I also to learn Danish in my free time.
My homepage - Hostgator 1 cent coupon - cyclingboutique.zendesk.com -