en>Fgnievinski at 02:32, 25 November 2014

2014-11-25T02:32:00Z

en>Dr.marioli at 08:51, 28 February 2014

2014-02-28T08:51:50Z

en>Aarrcchhiimmeeddeess: history, SI unit, stray light advantage, add.reading

2014-01-08T11:58:42Z

history, SI unit, stray light advantage, add.reading

← Older revision		Revision as of 13:58, 8 January 2014
Line 1:		Line 1:
	~~Royal Votaw is my title but I by no means really liked that name~~. ~~Meter reading~~ is ~~exactly where my primary income arrives from but soon I~~'ll be ~~on my own~~. ~~Kansas~~ is ~~our birth location and my mothers and fathers live nearby~~. ~~One~~ of the ~~issues I love most is climbing and now I have time to consider~~ on ~~new things~~.<br><br>~~Here is my blog ... car warranty -~~ [http://~~Dressupgap~~.com/~~profile~~/~~nomccurry speaking~~ of],		{{Infobox polyhedron
			\|image=elongated_triangular_dipyramid.png
			\|type=[[Johnson solid\|Johnson]]<br />[[pentagonal bipyramid\|''J''<sub>13</sub>]] -''' J<sub>14</sub>''' - [[elongated square bipyramid\|J<sub>15</sub>]]
			\|faces=6 [[triangle]]s<br />3 [[Square (geometry)\|square]]s
			\|edges=15
			\|vertices=8
			\|symmetry=[[Dihedral symmetry\|''D''<sub>3h</sub>]], [3,2], (*322)
			\|rotation_group=''D''<sub>3</sub>, [3,2]<sup>+</sup>, (322)
			\|vertex_config=2(3<sup>3</sup>)<br />6(3<sup>2</sup>.4<sup>2</sup>)
			\|dual=[[Triangular bifrustum]]
			\|properties=[[convex set\|convex]]
			\|net=Johnson solid 14 net.png
			}}

			In [[geometry]], the '''elongated triangular [[bipyramid]]''' (or '''dipyramid''') is one of the [[Johnson solid]]s (''J''<sub>14</sub>), [[convex polyhedron\|convex polyhedra]] whose faces are [[regular polygon]]s. As the name suggests, it can be constructed by elongating a [[triangular bipyramid]] (''J''<sub>12</sub>) by inserting a [[triangular prism]] between its congruent halves.

			{{Johnson solid}}

			The [[nirrosula]], an African musical instrument woven out of strips of plant leaves, is made in the form of a series of elongated bipyramids with non-equilateral triangles as the faces of their end caps.<ref>{{citation\|first=Paulus\|last=Gerdes\|title=Exploration of technologies, emerging from African cultural practices, in mathematics (teacher) education\|journal=ZDM, the International Journal on Mathematics Education\|volume=42\|issue=1\|pages=11–17\|doi=10.1007/s11858-009-0208-2\|year=2009}}.</ref>

			==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+dipyramid Elongated triangular dipyramid]" from [[Wolfram Alpha]]. Retrieved July 22, 2010.</ref>

			<math>V=(\frac{1}{12}(2\sqrt{2}+3\sqrt{3}))a^3\approx0.668715...a^3</math>

			<math>A=(\frac{3}{2}(2+\sqrt{3}))a^2\approx5.59808...a^2</math>

			=== Dual polyhedron ===

			The dual of the elongated triangular bipyramid has 8 faces: 6 trapezoidal and 2 triangular.
			{\| class=wikitable width=320
			\|- valign=top
			!Dual elongated triangular bipyramid
			!Net of dual
			\|- valign=top
			\|[[File:Dual elongated triangular dipyramid.png\|160px]]
			\|[[File:Dual elongated triangular dipyramid net.png\|160px]]
			\|}

			==References==
			{{Reflist}}

			== External links ==
			* {{mathworld \| urlname = JohnsonSolid \| title = Johnson solid}}
			* {{mathworld \| urlname =ElongatedTriangularDipyramid\| title =Elongated triangular bipyramid}}

			[[Category:Johnson solids]]
			[[Category:Pyramids and bipyramids]]


			{{Polyhedron-stub}}

en>GoingBatty: changed {{No footnotes}} to {{More footnotes}} & general fixes using AWB (8097)

2012-07-18T02:57:53Z

changed {{No footnotes}} to {{More footnotes}} & general fixes using AWB (8097)

New page

Royal Votaw is my title but I by no means really liked that name. Meter reading is exactly where my primary income arrives from but soon I'll be on my own. Kansas is our birth location and my mothers and fathers live nearby. One of the issues I love most is climbing and now I have time to consider on new things.<br><br>Here is my blog ... car warranty - [http://Dressupgap.com/profile/nomccurry speaking of],

Ellipsometry - Revision history

en>Fgnievinski at 02:32, 25 November 2014

en>Dr.marioli at 08:51, 28 February 2014

en>Aarrcchhiimmeeddeess: history, SI unit, stray light advantage, add.reading

en>GoingBatty: changed {{No footnotes}} to {{More footnotes}} & general fixes using AWB (8097)