Circle-throw vibrating machine: Difference between revisions

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{| class="wikitable" align="right" style="margin-left:10px" width="280"
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!bgcolor=#e7dcc3 colspan=2|Steric tesseractic honeycomb
|-
|bgcolor=#ffffff align=center colspan=2|(No image)
|-
|bgcolor=#e7dcc3|Type||Uniform honeycomb
|-
|bgcolor=#e7dcc3|[[Schläfli symbol]]||h<sub>4</sub>{4,3,3,4}
|-
|bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]||{{CDD|node_1|4|node|3|node|split1|nodes_10lu}} = {{CDD|node_1|4|node|3|node|3|node|4|node_h1}}
|-
|bgcolor=#e7dcc3|4-face type||[[Tesseract|{4,3,3}]]<BR>[[runcinated tesseract|t<sub>0,3</sub>{4,3,3}]]<BR>[[16-cell|{3,3,4}]]<BR>[[tetrahedral prism|{3,3}×{}]]
|-
|bgcolor=#e7dcc3|Cell type||[[cube|{4,3}]]<BR>[[Tetrahedron|{3,3}]]<BR>[[Triangular prism|{3}×{}]]
|-
|bgcolor=#e7dcc3|Face type||{4}<BR>{3}
|-
|bgcolor=#e7dcc3|[[Vertex figure]]||
|-
|bgcolor=#e7dcc3|[[Coxeter group]]||<math>{\tilde{B}}_4</math> = [4,3,3<sup>1,1</sup>]
|-
|bgcolor=#e7dcc3|Dual||?
|-
|bgcolor=#e7dcc3|Properties||[[vertex-transitive]]
|}
In [[Four-dimensional space|four-dimensional]] [[Euclidean geometry]], the '''steric tesseractic honeycomb''' is a uniform space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) in Euclidean 4-space.
 
== Alternate names==
* Small diprismatodemitesseractic tetracomb (siphatit)
 
== Related honeycombs==
{{B4 honeycombs}}
 
== See also ==
Regular and uniform honeycombs in 4-space:
*[[Tesseractic honeycomb]]
*[[16-cell honeycomb]]
*[[24-cell honeycomb]]
*[[Rectified 24-cell honeycomb]]
*[[Truncated 24-cell honeycomb]]
*[[Snub 24-cell honeycomb]]
*[[5-cell honeycomb]]
*[[Truncated 5-cell honeycomb]]
*[[Omnitruncated 5-cell honeycomb]]
 
==Notes==
{{reflist}}
 
== References ==
* '''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)''
* {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} x3o3o *b3o4x - siphatit  - O108
 
{{Honeycombs}}
 
[[Category:Honeycombs (geometry)]]
[[Category:5-polytopes]]

Latest revision as of 17:17, 26 October 2014



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