Gluon field: Difference between revisions

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!bgcolor=#e7dcc3 colspan=2|Runcinated 16-cell honeycomb
|-
|bgcolor=#ffffff align=center colspan=2|(No image)
|-
|bgcolor=#e7dcc3|Type||[[Uniform polyteron#Regular and uniform honeycombs|Uniform 4-honeycomb]]
|-
|bgcolor=#e7dcc3|[[Schläfli symbol]]||t03{3,3,4,3}
|-
|bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]s||
{{CDD|node_1|3|node|3|node|4|node_1|3|node}}
|-
|bgcolor=#e7dcc3|4-face type||[[Rectified 24-cell|r{3,4,3}]]<BR>[[runcinated tesseract|t03{4,3,3}]]<BR>[[cuboctahedral prism|r{3,4}x{}]]<BR>[[duoprism|{3}x{3}]]
|-
|bgcolor=#e7dcc3|Cell type||[[cuboctahedron|r{3,4}]]<BR>[[cube|{4,3}]]<BR>[[Tetrahedron|{3,3}]]
|-
|bgcolor=#e7dcc3|Face type||{3}, {4}
|-
|bgcolor=#e7dcc3|[[Vertex figure]]||
|-
|bgcolor=#e7dcc3|[[Coxeter group]]s||<math>{\tilde{F}}_4</math>, [3,4,3,3]
|-
|bgcolor=#e7dcc3|Properties||[[Vertex transitive]]
|}
In [[Four-dimensional space|four-dimensional]] [[Euclidean geometry]], the '''runcinated 16-cell honeycomb''' is a uniform space-filling [[honeycomb (geometry)|honeycomb]]. It can be seen as a [[Runcination (geometry)|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==
{{F4 honeycombs}}
 
== 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|Coxeter, H.S.M.]] ''[[Regular Polytopes (book)|Regular Polytopes]]'', (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p.&nbsp;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 [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 122
* {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} x3o3o4x3o - spaht - O122
 
{{Honeycombs}}
 
[[Category:5-polytopes]]
[[Category:Honeycombs (geometry)]]

Revision as of 22:26, 3 March 2014

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