en>BG19bot: /* Non-sequential double ionization */WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9421)

2013-08-14T21:44:42Z

Non-sequential double ionization: WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9421)

← Older revision		Revision as of 23:44, 14 August 2013
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			!bgcolor=#e7dcc3 colspan=2\|Omnitruncated 7-simplex honeycomb
			\|-
			\|bgcolor=#ffffff align=center colspan=2\|(No image)
			\|-
			\|bgcolor=#e7dcc3\|Type\|\|[[Uniform_8-polytope#Regular_and_uniform_honeycombs\|Uniform honeycomb]]
			\|-
			\|bgcolor=#e7dcc3\|Family\|\|[[Omnitruncated simplectic honeycomb]]
			\|-
			\|bgcolor=#e7dcc3\|[[Schläfli symbol]]\|\|{3<sup>[8]</sup>}
			\|-
			\|bgcolor=#e7dcc3\|[[Coxeter–Dynkin diagram]]s\|\|{{CDD\|node_1\|split1\|nodes_11\|3ab\|nodes_11\|3ab\|nodes_11\|split2\|node_1}}
			\|-
			\|bgcolor=#e7dcc3\|6-face types\|\|[[Omnitruncated 7-simplex\|t<sub>0123456</sub>{3,3,3,3,3,3}]]
			\|-
			\|bgcolor=#e7dcc3\|Vertex figure\|\|[[File:Omnitruncated 7-simplex honeycomb verf.png\|100px]]<BR>Irr. [[7-simplex]]
			\|-
			\|bgcolor=#e7dcc3\|[[Coxeter notation\|Symmetry]]\|\|<math>{\tilde{A}}_8</math>×16, [8[3<sup>[8]</sup>]]
			\|-
			\|bgcolor=#e7dcc3\|Properties\|\|[[vertex-transitive]]
			\|}
			In [[Seven-dimensional space\|seven-dimensional]] [[Euclidean geometry]], the '''omnitruncated 7-simplex honeycomb''' is a space-filling [[tessellation]] (or [[honeycomb (geometry)\|honeycomb]]). It is composed entirely of [[omnitruncated 7-simplex]] facets.

			The facets of all [[omnitruncated simplectic honeycomb]]s are called [[permutahedron\|permutahedra]] and can be positioned in ''n+1'' space with integral coordinates, permutations of the whole numbers (0,1,..,n).

			== A<sub>7</sub><sup>*</sup> lattice ==

			The A{{sup sub\|*\|7}} lattice (also called A{{sup sub\|8\|7}}) is the union of eight [[A7 lattice\|A<sub>7</sub> lattices]], and has the [[vertex arrangement]] to the dual honeycomb of the [[omnitruncated 7-simplex honeycomb]], and therefore the [[Voronoi cell]] of this lattice is an [[omnitruncated 7-simplex]].
			:
			{{CDD\|node_1\|split1\|nodes\|3ab\|nodes\|3ab\|nodes\|split2\|node}} +
			{{CDD\|node\|split1\|nodes_10lr\|3ab\|nodes\|3ab\|nodes\|split2\|node}} +
			{{CDD\|node\|split1\|nodes_01lr\|3ab\|nodes\|3ab\|nodes\|split2\|node}} +
			{{CDD\|node\|split1\|nodes\|3ab\|nodes_10lr\|3ab\|nodes\|split2\|node}} +
			{{CDD\|node\|split1\|nodes\|3ab\|nodes_01lr\|3ab\|nodes\|split2\|node}} +
			{{CDD\|node\|split1\|nodes\|3ab\|nodes\|3ab\|nodes_10lr\|split2\|node}} +
			{{CDD\|node\|split1\|nodes\|3ab\|nodes\|3ab\|nodes_01lr\|split2\|node}} +
			{{CDD\|node\|split1\|nodes\|3ab\|nodes\|3ab\|nodes\|split2\|node_1}} = dual of {{CDD\|node_1\|split1\|nodes_11\|3ab\|nodes_11\|3ab\|nodes_11\|split2\|node_1}}.

			== Related polytopes and honeycombs ==

			{{7-simplex honeycomb family}}

			==See also==
			Regular and uniform honeycombs in 7-space:
			*[[7-cubic honeycomb]]
			*[[7-demicubic honeycomb]]
			*[[7-simplex honeycomb]]
			*[[Truncated 7-simplex honeycomb]]
			*[[3_31 honeycomb\|3<sub>31</sub> 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:8-polytopes]]

en>EmausBot: r2.7.3) (Robot: Adding es:Doble ionización

2012-08-30T21:01:58Z

r2.7.3) (Robot: Adding es:Doble ionización

New page

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Double ionization - Revision history

en>BG19bot: /* Non-sequential double ionization */WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9421)

en>EmausBot: r2.7.3) (Robot: Adding es:Doble ionización