Abstract simplicial complex - Revision history

en>AxelBoldt: This equivalent statement does not help

2014-09-18T00:06:29Z

This equivalent statement does not help

← Older revision		Revision as of 02:06, 18 September 2014
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	~~{\| class=wikitable align="right" width="250"~~		Eusebio Stanfill is what's blogged on my birth records although it is not necessarily quite the name on my birth certificate. Idaho is our birth room. I work as an get clerk. As a man what When i really like is representing but I'm thinking on top of starting something new. You will probably find my website here: http://prometeu.net<br><br>Feel free to visit my web page :: [http://prometeu.net clash of clans hacks]
	~~!bgcolor=#e7dcc3 colspan=2\|Deltoidal icositetrahedron~~
	\|-
	~~\|align=center colspan=2\|[[Image:deltoidalicositetrahedron.jpg\|280px\|Deltoidal icositetrahedron]]<br>~~'~~'Click~~ on ~~picture for large version.''<br>''Click ''[[:image:deltoidalicositetrahedron.gif\|here]]'' for spinning version.''~~
	\|-
	~~\|bgcolor=#e7dcc3\|Type\|\|[[Catalan solid\|Catalan]]~~
	\|-
	~~\|bgcolor=#e7dcc3\|Coxeter diagram\|\|{{CDD\|node_f1\|4\|node\|3\|node_f1}}~~
	\|-
	~~\|bgcolor=#e7dcc3\|Face polygon\|\|[[kite (geometry)\|kite]]~~
	\|-
	~~\|bgcolor=#e7dcc3\|Faces\|\|24~~
	\|-
	~~\|bgcolor=#e7dcc3\|Edges\|\|48~~
	\|-
	~~\|bgcolor=#e7dcc3\|Vertices\|\|26 = 6 + 8 + 12~~
	\|-
	~~\|bgcolor=#e7dcc3\|[[Face configuration]]\|\|V3.4.4.4~~
	\|-
	~~\|bgcolor=#e7dcc3\|[[List of spherical symmetry groups\|Symmetry group]]\|\|[[Octahedral symmetry\|''O''<sub>''h''</sub>]], BC<sub>3</sub>, [4,3], *432~~
	\|-
	~~\|bgcolor=#e7dcc3\|[[Point_groups_in_three_dimensions#Rotation_groups\|Rotation group]]\|\|O, [4,3]<sup>+</sup>, (432)~~
	\|-
	~~\|bgcolor=#e7dcc3\|[[Dihedral angle]]\|\|138° 7' 5"<br><math>\arccos(-\frac{7 + 4\sqrt{2}}{17})</math>~~
	\|-
	~~\|bgcolor=#e7dcc3\|[[Dual polyhedron]]\|\|[[rhombicuboctahedron]]~~
	\|-
	~~\|bgcolor=#e7dcc3\|Properties\|\|convex, [[face-transitive]]~~
	\|-
	~~\|align=center colspan=2\|[[Image:Deltoidalicositetrahedron net.png\|280px\|Deltoidal icositetrahedron]]<br>[[Net (polyhedron)\|Net]]~~
	\|}
	In [[geometry]], a '''deltoidal icositetrahedron''' (also a '''trapezoidal icositetrahedron''' and ''tetragonal icosikaitetrahedron'') is a [[Catalan solid]] which looks a bit like an overinflated [[cube (geometry)\|cube]]. Its [[dual polyhedron]] is the [[rhombicuboctahedron]].

	~~==Dimensions ==~~
	~~The 24 faces are deltoids or [[kite (geometry)\|kites]], also called ''trapezia'' in the US and ''trapezoids'' in Britain. The short and long edges of each kite are in the ratio 1:1.292893...~~

	~~If its smallest edges have length 1, its surface area~~ is ~~<math>\scriptstyle{6\sqrt{29-2\sqrt{2}}}</math> and its volume is <math>\scriptstyle{\sqrt{122+71\sqrt{2}}}</math>.~~

	~~==Occurrences in nature and culture==~~
	~~The deltoidal icositetrahedron is a [[crystal habit]] often formed by~~ the ~~mineral [[analcime]] and occasionally [[garnet]]. The shape is often called a trapezohedron in mineral contexts, although in [[solid geometry]] that~~ name ~~[[trapezohedron\|has another meaning]]~~.

	~~==Related polyhedra==~~
	~~The deltoidal icositetrahedron~~ is ~~topologically equivalent to a [[cube]] whose faces are divided in quadrants~~.
	~~:[[Image:Partial cubic honeycomb~~.~~png\|160px]]~~

	~~The [[great triakis octahedron]] is~~ a ~~stellation of the deltoidal icositetrahedron.~~
	~~== Related polyhedra and tilings ==~~
	~~The deltoidal icositetrahedron~~ is ~~one of a family of duals to the uniform polyhedra related to the cube and regular octahedron.~~

	~~{{Octahedral truncations}}~~

	This polyhedron is topologically related as a part of sequence of deltoidal polyhedra with face figure (V3.4.n.4), and continues as tilings of the [[Hyperbolic space\|hyperbolic plane]]. These [[face-transitive]] figures have (*n32) reflectional [[Orbifold notation\|symmetry]].

	~~{{Expanded table}}~~

	~~==See also==~~
	*[[Deltoidal hexecontahedron]]
	*"[[The Haunter of the Dark]]", a story by H.P. Lovecraft, whose plot involves this figure

	~~== References ==~~
	*{{The Geometrical Foundation of Natural Structure (book)}} (Section 3-9)
	*{{Citation \|last=Wenninger \|first=Magnus \|authorlink=Magnus Wenninger \|title=Dual Models \|publisher=[[Cambridge University Press]] \|isbn=978-0-521-54325-5 \|mr=730208 \|year=1983}} (The thirteen semiregular convex polyhedra and their duals, Page 23, Deltoidal icositetrahedron)
	*'~~'The Symmetries~~ of ~~Things'' 2008, John H~~. ~~Conway, Heidi Burgiel, Chaim Goodman-Strass, ISBN 978-1-56881-220-5 [~~http://~~www~~.~~akpeters.com/product.asp?ProdCode=2205] (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings,~~ page ~~286, tetragonal icosikaitetrahedron)~~

	~~==External links==~~
	*{{Mathworld2 \|urlname=DeltoidalIcositetrahedron \|title=Deltoidal icositetrahedron \|urlname2=CatalanSolid \|title2=Catalan solid}}
	*[http://~~polyhedra~~.~~org/poly/show/36/trapezoidal_icositetrahedron Deltoidal (Trapezoidal) Icositetrahedron] – Interactive Polyhedron model~~

	~~{{Polyhedron navigator}}~~

	~~[[Category:Catalan solids]~~]

en>Lesser Cartographies: "ad-hoc" -> "ad hoc"

2013-08-09T07:30:41Z

"ad-hoc" -> "ad hoc"

← Older revision		Revision as of 09:30, 9 August 2013
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	~~The topiaries in Farmville are bushes or trees that were trimmed cautiously to form an animal~~-~~like figure~~. ~~Remember that putting them in your farm and you are designing your garden~~, ~~you can do rotate them in only two different directions and consequently are always facing the user.~~<br><br>		{\| class=wikitable align="right" width="250"
			!bgcolor=#e7dcc3 colspan=2\|Deltoidal icositetrahedron
			\|-
			\|align=center colspan=2\|[[Image:deltoidalicositetrahedron.jpg\|280px\|Deltoidal icositetrahedron]]<br>''Click on picture for large version.''<br>''Click ''[[:image:deltoidalicositetrahedron.gif\|here]]'' for spinning version.''
			\|-
			\|bgcolor=#e7dcc3\|Type\|\|[[Catalan solid\|Catalan]]
			\|-
			\|bgcolor=#e7dcc3\|Coxeter diagram\|\|{{CDD\|node_f1\|4\|node\|3\|node_f1}}
			\|-
			\|bgcolor=#e7dcc3\|Face polygon\|\|[[kite (geometry)\|kite]]
			\|-
			\|bgcolor=#e7dcc3\|Faces\|\|24
			\|-
			\|bgcolor=#e7dcc3\|Edges\|\|48
			\|-
			\|bgcolor=#e7dcc3\|Vertices\|\|26 = 6 + 8 + 12
			\|-
			\|bgcolor=#e7dcc3\|[[Face configuration]]\|\|V3.4.4.4
			\|-
			\|bgcolor=#e7dcc3\|[[List of spherical symmetry groups\|Symmetry group]]\|\|[[Octahedral symmetry\|''O''<sub>''h''</sub>]], BC<sub>3</sub>, [4,3], *432
			\|-
			\|bgcolor=#e7dcc3\|[[Point_groups_in_three_dimensions#Rotation_groups\|Rotation group]]\|\|O, [4,3]<sup>+</sup>, (432)
			\|-
			\|bgcolor=#e7dcc3\|[[Dihedral angle]]\|\|138° 7' 5"<br><math>\arccos(-\frac{7 + 4\sqrt{2}}{17})</math>
			\|-
			\|bgcolor=#e7dcc3\|[[Dual polyhedron]]\|\|[[rhombicuboctahedron]]
			\|-
			\|bgcolor=#e7dcc3\|Properties\|\|convex, [[face-transitive]]
			\|-
			\|align=center colspan=2\|[[Image:Deltoidalicositetrahedron net.png\|280px\|Deltoidal icositetrahedron]]<br>[[Net (polyhedron)\|Net]]
			\|}
			In [[geometry]], a '''deltoidal icositetrahedron''' (also a '''trapezoidal icositetrahedron''' and ''tetragonal icosikaitetrahedron'') is a [[Catalan solid]] which looks a bit like an overinflated [[cube (geometry)\|cube]]. Its [[dual polyhedron]] is the [[rhombicuboctahedron]].

	~~<br><br>Generally speaking, most walls~~ are ~~made from brick~~ or block with stucco best. Although this can be costly it does look very good when is actually completed. You ought to hire a person that builds walls for cash to be certain that it created correctly. Most walls like this require cleaning now right after which.<br><br>These finches always live in ~~pairs building nests~~ in ~~thorn bushes or thorny trees where,~~ in the ~~rainy season, the female will lay from 4-5 eggs~~. ~~They raise their young on insect required protein~~. ~~Their normal diet consists mostly of seeds, mostly from grasses~~. ~~They, like many finches, are omnivores~~. ~~They eat small~~, ~~ground dwelling insects like termites also.~~<br><br>~~Its hedge cutting evening. A light trim of box~~ and ~~yew hedges should be enough but my beech hedge seems to survive a hard prune. Conifer hedges need frequent attention to help you keep them efficient.~~<br><br>~~When picking out~~ a ~~brush cutter always understand it~~ and ~~swing it on the verge of gauge the weight~~. ~~Not everyone can wield~~ a ~~brush cutter satisfactorily~~. ~~Can be earning ! it~~ are ~~going to somewhat heavier when always be full of fuel~~. ~~Realizing what's good also must wear goggles and suitable protective clothing such as gloves and boots making use~~ of the ~~brush cutter~~. ~~Positive that you terms~~ and ~~conditions instructions carefully before starting it~~ to ~~be sure you hold it in~~ the ~~correct job.<br><br>Clinton's speech in Perth was customised~~ to ~~include stories highly a Perth market, including his memories of Perth switching on its lights at night for an american space mission re-entry~~ and ~~comments on a former US President's career~~ as a ~~mining engineer in Kalgoorlie~~.~~<br><br>When fruits and vegetables performing a landscaping project, it is actually to start a budget quite~~. ~~Certain tools~~, ~~accessories~~ and ~~live plants could be more costly than believe and creates an influence your plans~~. ~~Do your research online to get an approximation of what amount it will cost to complete your job~~.~~<br><br>Any certainly one~~ of ~~these privacy options is certain to work wonders into your patio area~~, ~~or may potentially even make use of~~ a ~~combination or perhaps patio is actually in full view~~. ~~Keep prying eyes out for good~~, and ~~feel comfortable using your patio within times on the year~~.~~<br><br>If you enjoyed this article and you would certainly such as to obtain more information concerning~~ [http://www.~~hedgingplants~~.com/ ~~www~~.~~hedgingplants.com~~] ~~kindly go to~~ the ~~web site~~.		==Dimensions ==
			The 24 faces are deltoids or [[kite (geometry)\|kites]], also called ''trapezia'' in the US and ''trapezoids'' in Britain. The short and long edges of each kite are in the ratio 1:1.292893...

			If its smallest edges have length 1, its surface area is <math>\scriptstyle{6\sqrt{29-2\sqrt{2}}}</math> and its volume is <math>\scriptstyle{\sqrt{122+71\sqrt{2}}}</math>.

			==Occurrences in nature and culture==
			The deltoidal icositetrahedron is a [[crystal habit]] often formed by the mineral [[analcime]] and occasionally [[garnet]]. The shape is often called a trapezohedron in mineral contexts, although in [[solid geometry]] that name [[trapezohedron\|has another meaning]].

			==Related polyhedra==
			The deltoidal icositetrahedron is topologically equivalent to a [[cube]] whose faces are divided in quadrants.
			:[[Image:Partial cubic honeycomb.png\|160px]]

			The [[great triakis octahedron]] is a stellation of the deltoidal icositetrahedron.
			== Related polyhedra and tilings ==
			The deltoidal icositetrahedron is one of a family of duals to the uniform polyhedra related to the cube and regular octahedron.

			{{Octahedral truncations}}

			This polyhedron is topologically related as a part of sequence of deltoidal polyhedra with face figure (V3.4.n.4), and continues as tilings of the [[Hyperbolic space\|hyperbolic plane]]. These [[face-transitive]] figures have (*n32) reflectional [[Orbifold notation\|symmetry]].

			{{Expanded table}}

			==See also==
			*[[Deltoidal hexecontahedron]]
			*"[[The Haunter of the Dark]]", a story by H.P. Lovecraft, whose plot involves this figure

			== References ==
			*{{The Geometrical Foundation of Natural Structure (book)}} (Section 3-9)
			*{{Citation \|last=Wenninger \|first=Magnus \|authorlink=Magnus Wenninger \|title=Dual Models \|publisher=[[Cambridge University Press]] \|isbn=978-0-521-54325-5 \|mr=730208 \|year=1983}} (The thirteen semiregular convex polyhedra and their duals, Page 23, Deltoidal icositetrahedron)
			*''The Symmetries of Things'' 2008, John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, ISBN 978-1-56881-220-5 [http://www.akpeters.com/product.asp?ProdCode=2205] (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, page 286, tetragonal icosikaitetrahedron)

			==External links==
			*{{Mathworld2 \|urlname=DeltoidalIcositetrahedron \|title=Deltoidal icositetrahedron \|urlname2=CatalanSolid \|title2=Catalan solid}}
			*[http://polyhedra.org/poly/show/36/trapezoidal_icositetrahedron Deltoidal (Trapezoidal) Icositetrahedron] – Interactive Polyhedron model

			{{Polyhedron navigator}}

			[[Category:Catalan solids]]

183.107.53.224: /* Examples */

2012-08-24T07:55:58Z

Examples

New page

The topiaries in Farmville are bushes or trees that were trimmed cautiously to form an animal-like figure. Remember that putting them in your farm and you are designing your garden, you can do rotate them in only two different directions and consequently are always facing the user. 

 Generally speaking, most walls are made from brick or block with stucco best. Although this can be costly it does look very good when is actually completed. You ought to hire a person that builds walls for cash to be certain that it created correctly. Most walls like this require cleaning now right after which. These finches always live in pairs building nests in thorn bushes or thorny trees where, in the rainy season, the female will lay from 4-5 eggs. They raise their young on insect required protein. Their normal diet consists mostly of seeds, mostly from grasses. They, like many finches, are omnivores. They eat small, ground dwelling insects like termites also. Its hedge cutting evening. A light trim of box and yew hedges should be enough but my beech hedge seems to survive a hard prune. Conifer hedges need frequent attention to help you keep them efficient. When picking out a brush cutter always understand it and swing it on the verge of gauge the weight. Not everyone can wield a brush cutter satisfactorily. Can be earning ! it are going to somewhat heavier when always be full of fuel. Realizing what's good also must wear goggles and suitable protective clothing such as gloves and boots making use of the brush cutter. Positive that you terms and conditions instructions carefully before starting it to be sure you hold it in the correct job. Clinton's speech in Perth was customised to include stories highly a Perth market, including his memories of Perth switching on its lights at night for an american space mission re-entry and comments on a former US President's career as a mining engineer in Kalgoorlie. When fruits and vegetables performing a landscaping project, it is actually to start a budget quite. Certain tools, accessories and live plants could be more costly than believe and creates an influence your plans. Do your research online to get an approximation of what amount it will cost to complete your job. Any certainly one of these privacy options is certain to work wonders into your patio area, or may potentially even make use of a combination or perhaps patio is actually in full view. Keep prying eyes out for good, and feel comfortable using your patio within times on the year. If you enjoyed this article and you would certainly such as to obtain more information concerning [http://www.hedgingplants.com/ www.hedgingplants.com] kindly go to the web site.