128.135.100.108: /* Examples */

2014-12-01T10:58:44Z

Examples

en>Enoksrd: /* Properties */ Reword sentence to be more clear to people that jump directly to ===Generators=== without reading the other ==Properties==

2014-03-05T00:10:06Z

Properties: Reword sentence to be more clear to people that jump directly to ===Generators=== without reading the other ==Properties==

← Older revision		Revision as of 02:10, 5 March 2014
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	~~{{Infobox polyhedron~~
	~~\|image=elongated_triangular_cupola.png~~
	~~\|type=[[Johnson solid\|Johnson]]<br>[[gyroelongated square bipyramid\|J<sub>17</sub>]] - '''J<sub>18</sub>''' - [[elongated square cupola\|J<sub>19</sub>]]~~
	~~\|faces=1+3 [[triangle]]s<br>3.3 [[Square (geometry)\|square]]s<br>1 [[hexagon]]~~
	~~\|edges=27~~
	~~\|vertices=15~~
	~~\|symmetry=''C''<sub>3v</sub>\|~~
	~~\|vertex_config=6(4<sup>2</sup>.6)<br>3(3.4.3.4)<br>6(3.4<sup>3</sup>)~~
	~~\|dual=-~~
	~~\|properties=[[convex set\|convex]]~~
	~~\|net=Johnson solid 18 net.png~~
	}}

	In [[geometry]], the '''elongated triangular cupola''' is one of the [[Johnson solid]]s (''J''<sub>18</sub>). As the name suggests, it can be constructed by elongating a [[triangular cupola]] (''J''<sub>3</sub>) by attaching a [[hexagonal prism]] to its base.

	~~{{Johnson solid}}~~		Bryan is often a celebrity in the producing plus the career growth 1st second to his third club album, & , will be the resistant. He burst on the scene in 2015 with his best blend of down-property accessibility, motion picture celebrity fantastic appearance and words, is placed t in a major way. The new recording Top on the country graph and #2 on the burst graphs, producing it the next top debut at that time of 2007 for any region designer. <br><br>The son of the , knows patience and willpower are [http://www.ffpjp24.org luke bryan concert schedule 2014] key elements in relation to a successful profession- . His initially recording, Continue to be Me, generated the Top reaches “All My Buddies Say” and “Country Gentleman,” when his hard work, Doin’ Thing, found the vocalist-three directly No. 7 singles: More Phoning Is often a Fantastic Issue.”<br><br>While in the tumble of 1999, Concert tours: Luke Bryan And which in fact had an amazing set of , which includes Metropolitan. [http://lukebryantickets.sgs-suparco.org luke bryan live concert] “It’s almost like you’re acquiring a acceptance to go to the next level, affirms all those musicians that were an element of the Concert toursaround in a bigger level of musicians.” It covered as among the best excursions in its 10-year historical past.<br><br>Feel free to visit my page luke bryan tickets tampa ([http://lukebryantickets.asiapak.net web])

	~~==Formulae==~~
	The ~~following [[formula]]e for [[volume]]~~ and ~~[[surface area]] can be used if all [[face (geometry)\|faces]] are [[regular polygon\|regular]]~~, ~~with edge length ''a'':~~<~~ref~~>~~[[Stephen Wolfram]]~~, "[http://www.~~wolframalpha~~.~~com/input/?i=Elongated+triangular+cupola Elongated triangular cupola]" from [[Wolfram Alpha]~~]. ~~Retrieved July 22~~, ~~2010~~.~~</ref>~~

	~~<math>V=(\frac{1}{6}(5\sqrt{2}+9\sqrt{3}))~~a~~^3\approx3.77659..~~.~~a^3~~<~~/math~~>

	<~~math~~>~~A=(9+\frac{5\sqrt{3}}{2})a^2\approx13.3301~~...a~~^2</math>~~

	~~=== Dual polyhedron ===~~

	~~The dual~~ of the ~~elongated triangular cupola has 15 faces: 6 isosceles triangles, 3 rhombi, and 6 quadrilaterals~~.
	~~{\| class=wikitable width=320~~
	\|- ~~valign=top~~
	~~!Dual elongated triangular cupola~~
	~~!Net of dual~~
	~~\|- valign=top~~
	\|[~~[File~~:~~Dual elongated triangular cupola~~.~~png\|160px]]~~
	~~\|[[File:Dual elongated triangular cupola~~ net~~.png\|160px~~]]
	\|}

	~~==References==~~
	~~{{Reflist}}~~

	~~==External links==~~
	* {{mathworld \| urlname = JohnsonSolid \| title = Johnson solid}}
	* {{mathworld \| urlname =ElongatedTriangularCupola\| title =Elongated triangular cupola}}

	~~[[Category:Johnson solids]]~~


	~~{{Polyhedron-stub}}~~

en>Quondum: /* Examples */ adding case n=1 to table; it is in the text

2013-10-09T03:51:51Z

Examples: adding case n=1 to table; it is in the text

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en>RedAcer: /* Notation */

2012-08-06T17:36:52Z

Notation

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Multiplicative group of integers modulo n - Revision history

128.135.100.108: /* Examples */

en>Enoksrd: /* Properties */ Reword sentence to be more clear to people that jump directly to ===Generators=== without reading the other ==Properties==

en>Quondum: /* Examples */ adding case n=1 to table; it is in the text

en>RedAcer: /* Notation */