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| | My name is Darla (34 years old) and my hobbies are Seashell Collecting and Mineral collecting.<br><br>Here is my site - [http://minecraft.cardcodes.net Free Minecraft] |
| !bgcolor=#e7dcc3 colspan=2|Stericated 24-cell honeycomb<BR>Stericated 16-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]]||t04{3,4,3,3}
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| |bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]s||{{CDD|node_1|3|node|3|node|4|node|3|node_1}}
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| |bgcolor=#e7dcc3|4-face type||[[24-cell|{3,4,3}]] [[File:Schlegel_wireframe_24-cell.png|40px]]<BR>[[16-cell|{3,3,4}]] [[File:Schlegel_wireframe_16-cell.png|40px]]<BR>[[octahedral prism|{3,4}x{}]] [[File:Octahedral prism.png|40px]]<BR>[[tetrahedral prism|{3,3}x{}]] [[File:Tetrahedral prism.png|40px]]<BR>[[duoprism|{3}x{3}]] [[File:3-3 duoprism.png|40px]]
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| |bgcolor=#e7dcc3|Cell type||[[octahedron|{3,4}]]<BR>[[tetrahedron|{3,3}]]<BR>[[triangular prism|{3}x{}]]
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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 '''stericated 24-cell honeycomb''' (or '''stericated 16-cell honeycomb''') is a uniform space-filling [[honeycomb (geometry)|honeycomb]]. It can be seen as a [[Sterication (geometry)|sterication]] of the regular [[24-cell honeycomb]], containing [[24-cell]], [[16-cell]], [[octahedral prism]], [[tetrahedral prism]], and 3-3 [[duoprism]] cells.
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| == Alternate names==
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| * Stericated icositetrachoric/hexadecaachoric tetracomb/honeycomb
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| * Small cellated demitesseractic tetracomb (scicot)
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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 121 (Wrongly named ''runcinated'' icositetrachoric honeycomb)
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| * {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} x3o3o4o3x - scicot - O121
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| {{Honeycombs}}
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| [[Category:5-polytopes]]
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| [[Category:Honeycombs (geometry)]]
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My name is Darla (34 years old) and my hobbies are Seashell Collecting and Mineral collecting.
Here is my site - Free Minecraft