Triangular cupola - Revision history

en>中川宏: /* Related polyhedra and honeycombs */

2014-11-09T04:18:55Z

Related polyhedra and honeycombs

← Older revision		Revision as of 06:18, 9 November 2014
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en>INVERTED: /* Dual polyhedron */ disambig

2014-02-24T17:52:00Z

Dual polyhedron: disambig

Show changes

en>Frietjes: copyedit

2013-09-12T17:01:24Z

copyedit

← Older revision		Revision as of 19:01, 12 September 2013
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	~~Professionals a strategy and as well as battle activation where your entire family must manage your very own tribe and also protect it~~. You have so as to build constructions which is likely to provide protection for your main soldiers along with the instruction. First concentrate on your protection and after its recently ended up taken treatment. You need to move forward when it comes to the criminal offense process. As well as ones own Military facilities, you likewise need to keep in mind's ~~eye the way your indigneous group is certainly going~~. ~~For instance, collecting time and energy as well as raising your own tribe is the key to good improvements~~.<br><br>		{{Infobox polyhedron
			\|image=elongated_square_cupola.png
			\|type=[[Johnson solid\|Johnson]]<br>[[elongated triangular cupola\|J<sub>18</sub>]] - '''J<sub>19</sub>''' - [[elongated pentagonal cupola\|J<sub>20</sub>]]
			\|faces=4 [[triangle]]s<br>1+3.4 [[Square (geometry)\|square]]s<br>1 [[octagon]]
			\|edges=36
			\|vertices=20
			\|symmetry=''C''<sub>4v</sub>\|
			\|vertex_config=8(4<sup>2</sup>.8)<br>4+8(3.4<sup>3</sup>)
			\|dual=-
			\|properties=[[convex set\|convex]]
			\|net=Johnson solid 19 net.png
			}}

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			{{Johnson solid}}

			==Formulae==
			The following [[formula]]e for [[volume]], [[surface area]] and [[circumscribed sphere\|circumradius]] 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+square+cupola Elongated square cupola]" from [[Wolfram Alpha]]. Retrieved July 22, 2010.</ref>

			<math>V=(3+\frac{8\sqrt{2}}{3})a^3\approx6.77124...a^3</math>

			<math>A=(15+2\sqrt{2}+\sqrt{3})a^2\approx19.5605...a^2</math>

			<math>C=(\frac{1}{2}\sqrt{5+2\sqrt{2}})a\approx1.39897...a</math>

			=== Dual polyhedron ===

			The dual of the elongated square cupola has 20 faces: 8 isoceles triangles, 4 kites, 8 quadrilaterals.
			{\| class=wikitable width=320
			\|- valign=top
			!Dual elongated square cupola
			!Net of dual
			\|- valign=top
			\|[[File:Dual elongated square cupola.png\|160px]]
			\|[[File:Dual elongated square cupola net.png\|160px]]
			\|}

			==References==
			{{Reflist}}

			==External links==
			* {{mathworld \| urlname = JohnsonSolid \| title = Johnson solid}}
			* {{mathworld \| urlname =ElongatedSquareCupola\| title =Elongated square cupola}}


			{{Polyhedron-stub}}
			[[Category:Johnson solids]]

en>Tomruen: /* See also */

2012-06-05T21:24:47Z

See also

New page

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Triangular cupola - Revision history

en>中川 宏: /* Related polyhedra and honeycombs */

en>INVERTED: /* Dual polyhedron */ disambig

en>Frietjes: copyedit

en>Tomruen: /* See also */

en>中川宏: /* Related polyhedra and honeycombs */