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| | Hayden is what's published on my birth certification but I do not like when [https://Www.google.com/search?hl=en&gl=us&tbm=nws&q=individuals&btnI=lucky individuals] use my whole title. As a guy what I definitely like is croquet and I would never give it up. Submitting is how I guidance my loved ones. My dwelling is now in Wyoming and my mothers and fathers stay nearby. See what is new on my web page right here: http://www.eurotugowners.com/dB_exp/eta/myd/frm/Salomons-Schoenen.cfm<br><br>Feel free to surf to my webpage :: [http://www.eurotugowners.com/dB_exp/eta/myd/frm/Salomons-Schoenen.cfm Salomons Schoenen] |
| !bgcolor=#e7dcc3 colspan=2|quarter 5-cubic honeycomb
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| |bgcolor=#ffffff align=center colspan=2|(No image)
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| |bgcolor=#e7dcc3|Type||[[Uniform_polypeton#Regular_and_uniform_honeycombs|Uniform 5-honeycomb]]
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| |bgcolor=#e7dcc3|Family||[[Quarter hypercubic honeycomb]]
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| |bgcolor=#e7dcc3|[[Schläfli symbol]]||q{4,3,3,3,4}
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| |bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]||{{CDD|nodes_10ru|split2|node|3|node|split1|nodes_10lu}} = {{CDD|node_h1|4|node|3|node|3|node|3|node|4|node_h1}}
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| |bgcolor=#e7dcc3|5-face type||[[5-demicube|h{4,3<sup>3</sup>}]], [[File:Demipenteract graph ortho.svg|60px]]<BR>[[Runcinated 5-demicube|h<sub>4</sub>{4,3<sup>3</sup>}]], [[File:5-demicube t03 D5.svg|60px]]
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| |bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Quarter_5-cubic_honeycomb_verf.png|60px]]<BR>Rectified 5-cell antiprism<BR>or Stretched [[birectified 5-simplex]]
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| |bgcolor=#e7dcc3|[[Coxeter group]]||<math>{\tilde{D}}_5</math>×2 = [<span/>[3<sup>1,1</sup>,3,3<sup>1,1</sup>]]
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| |bgcolor=#e7dcc3|Dual||
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| |bgcolor=#e7dcc3|Properties||[[vertex-transitive]]
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| |}
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| In [[Five-dimensional space|five-dimensional]] [[Euclidean geometry]], the '''quarter 5-cubic honeycomb''' is a uniform space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]). It has half the vertices of the [[5-demicubic honeycomb]], and a quarter of the vertices of a [[5-cube honeycomb]].<ref>Coxeter, '''Regular and Semi-Regular Polytopes III''', (1988), p318</ref> Its facets are [[5-demicube]]s and [[runcinated 5-demicube]]s.
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| <!--==Coordinates==
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| Vertices can be placed at all [[integer]] coordinates (i,j,k,l,m), such that (i+j+k+l+m) [[modulo]] 4=0.-->
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| == Related honeycombs==
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| {{D5 honeycombs}}
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| == See also ==
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| Regular and uniform honeycombs in 5-space:
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| *[[5-cube honeycomb]]
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| *[[5-demicube honeycomb]]
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| * [[5-simplex honeycomb]]
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| * [[Truncated 5-simplex honeycomb]]
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| * [[Omnitruncated 5-simplex honeycomb]]
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| ==Notes==
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| {{reflist}}
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| == References ==
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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] See p318 [http://books.google.com/books?id=fUm5Mwfx8rAC&lpg=PA318&ots=dnT1LYgmij&dq=%22quarter%20cubic%20honeycomb%22%20q%7B4%2C3%2C4%7D&pg=PA318#v=onepage&q=%22quarter%20cubic%20honeycomb%22%20q%7B4,3,4%7D&f=false]
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| * {{KlitzingPolytopes|flat.htm|5D|Euclidean tesselations#5D}} x3o3o x3o3o *b3*e - spaquinoh
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| {{Honeycombs}}
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| [[Category:Honeycombs (geometry)]]
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| [[Category:6-polytopes]]
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Hayden is what's published on my birth certification but I do not like when individuals use my whole title. As a guy what I definitely like is croquet and I would never give it up. Submitting is how I guidance my loved ones. My dwelling is now in Wyoming and my mothers and fathers stay nearby. See what is new on my web page right here: http://www.eurotugowners.com/dB_exp/eta/myd/frm/Salomons-Schoenen.cfm
Feel free to surf to my webpage :: Salomons Schoenen