en>ChrisGualtieri: General Fixes using AWB

2013-10-26T03:22:17Z

General Fixes using AWB

← Older revision		Revision as of 05:22, 26 October 2013
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	~~I am Blondell from Olsztyn~~. ~~I love to play Banjo~~. ~~Other hobbies are Cricket~~.<br><br>~~Feel free~~ to ~~surf to my web page;~~ [http://www.~~wattpad~~.com/~~73294225~~-~~hay~~-~~day~~-~~hack~~-~~cheats~~-~~2014 Hay Day hack ios~~]		{\| class="wikitable" align="right" style="margin-left:10px" width="250"
			!bgcolor=#e7dcc3 colspan=2\|Truncated 5-simplex honeycomb
			\|-
			\|bgcolor=#ffffff align=center colspan=2\|(No image)
			\|-
			\|bgcolor=#e7dcc3\|Type\|\|[[Uniform_6-polytope#Regular_and_uniform_honeycombs\|Uniform honeycomb]]
			\|-
			\|bgcolor=#e7dcc3\|Family\|\|[[Truncated simplectic honeycomb]]
			\|-
			\|bgcolor=#e7dcc3\|[[Schläfli symbol]]\|\|t<sub>0,1</sub>{3<sup>[6]</sup>}
			\|-
			\|bgcolor=#e7dcc3\|[[Coxeter–Dynkin diagram]]\|\|{{CDD\|node\|split1\|nodes_10lur\|3ab\|nodes_10lru\|split2\|node}}
			\|-
			\|bgcolor=#e7dcc3\|5-face types\|\|[[5-simplex\|{3,3,3,3}]] [[File:5-simplex t0.svg\|40px]]<BR>[[truncated hexateron\|t{3,3,3,3}]] [[File:5-simplex t01.svg\|40px]]<BR>[[bitruncated 5-simplex\|2t{3,3,3,3}]] [[File:5-simplex t12.svg\|40px]]
			\|-
			\|bgcolor=#e7dcc3\|4-face types\|\|[[5-cell\|{3,3,3}]] [[File:4-simplex t0.svg\|40px]]<BR>[[Truncated 5-cell\|t{3,3,3}]] [[File:4-simplex t01.svg\|40px]]
			\|-
			\|bgcolor=#e7dcc3\|Cell types\|\|[[tetrahedron\|{3,3}]] [[File:3-simplex t0.svg\|40px]]<BR>[[Truncated tetrahedron\|t{3,3}]] [[File:3-simplex t01.svg\|40px]]
			\|-
			\|bgcolor=#e7dcc3\|Face types\|\|[[triangle\|{3}]] [[File:2-simplex t0.svg\|40px]]<BR>[[Hexagon\|t{3}]] [[File:2-simplex t01.svg\|40px]]
			\|-
			\|bgcolor=#e7dcc3\|Vertex figure\|\|[[File:Truncated 5-simplex honeycomb verf.png\|120px]]<BR>Elongated [[5-cell antiprism]]
			\|-
			\|bgcolor=#e7dcc3\|[[Coxeter group]]s\|\|<math>{\tilde{A}}_5</math>×2, [<span/>[3<sup>[6]</sup>]]
			\|-
			\|bgcolor=#e7dcc3\|Properties\|\|[[vertex-transitive]]
			\|}
			In [[Five-dimensional space\|five-dimensional]] [[Euclidean geometry]], the '''truncated 5-simplex honeycomb''' or '''truncated hexateric honeycomb''' is a space-filling [[tessellation]] (or [[honeycomb (geometry)\|honeycomb]]). It is composed of [[5-simplex]], [[truncated 5-simplex]], and [[bitruncated 5-simplex]] facets in a ratio of 1:1:1.

			Its [[vertex figure]] is an elongated 5-cell antiprism, two parallel [[5-cell]]s in dual configurations, connected by 10 tetrahedral pyramids (elongated 5-cells) from the cell of one side to a point on the other. The vertex figure has 8 vertices and 12 5-cells.

			It can be constructed as six sets of parallel [[hyperplane]]s that divide space. The hyperplane intersections generate [[truncated 5-cell honeycomb]] divisions on each hyperplane.

			== Related polytopes and honeycombs ==

			{{5-simplex honeycomb family}}

			==See also==
			Regular and uniform honeycombs in 5-space:
			*[[5-cubic honeycomb]]
			*[[5-demicubic honeycomb]]
			* [[5-simplex honeycomb]]
			* [[Omnitruncated 5-simplex honeycomb]]

			==Notes==
			{{reflist}}

			== References ==
			* [[Norman Johnson (mathematician)\|Norman Johnson]] ''Uniform Polytopes'', Manuscript (1991)
			* '''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 22) H.S.M. Coxeter, ''Regular and Semi Regular Polytopes I'', [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
			** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'', [Math. Zeit. 200 (1988) 3-45]
			{{Honeycombs}}
			[[Category:Honeycombs (geometry)]]
			[[Category:6-polytopes]]

en>Tom.Reding: Disambiguated: vector → Euclidean vector

2012-04-08T06:55:32Z

Disambiguated: vector → Euclidean vector

New page

I am Blondell from Olsztyn. I love to play Banjo. Other hobbies are Cricket.<br><br>Feel free to surf to my web page; [http://www.wattpad.com/73294225-hay-day-hack-cheats-2014 Hay Day hack ios]

Generalized minimum-distance decoding - Revision history

en>ChrisGualtieri: General Fixes using AWB

en>Tom.Reding: Disambiguated: vector → Euclidean vector