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| {{Infobox polyhedron
| | Myrtle Benny is how I'm known as and I feel comfy when people use the full name. Body developing is what my family and I enjoy. Her spouse and her live in Puerto Rico but she will have to move one working day or another. Managing people has been his working day job for a whilst.<br><br>Check out my page - [http://Wooribanking.com/xe/?document_srl=2163546 at home std testing] |
| |image=elongated_pentagonal_gyrobirotunda.png
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| |type=[[Johnson solid|Johnson]]<br>[[elongated pentagonal orthobirotunda|J<sub>42</sub>]] - '''J<sub>43</sub>''' - [[gyroelongated triangular bicupola|J<sub>44</sub>]]
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| |faces=10+10 [[triangle]]s<br>10 [[Square (geometry)|square]]s<br>2+10 [[pentagon]]s
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| |edges=80
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| |vertices=40
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| |symmetry=''D''<sub>5d</sub>
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| |vertex_config=20(3.4<sup>2</sup>.5)<br>2.10(3.5.3.5)
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| |dual=-
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| |properties=[[convex set|convex]]
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| |net=Johnson solid 43 net.png
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| }}
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| In [[geometry]], the '''elongated pentagonal gyrobirotunda''' is one of the [[Johnson solid]]s (''J''<sub>43</sub>). As the name suggests, it can be constructed by elongating a "pentagonal gyrobirotunda," or [[icosidodecahedron]] (one of the [[Archimedean solid]]s), by inserting a [[decagonal prism]] between its congruent halves. Rotating one of the [[pentagonal rotunda]]e (''J''<sub>6</sub>) through 36 degrees before inserting the prism yields an [[elongated pentagonal orthobirotunda]] (''J''<sub>42</sub>).
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| {{Johnson solid}}
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| ==Formulae==
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| The following [[formula]]e for [[volume]] and [[surface area]] can be used if all [[faces (geometry)|faces]] are [[regular polygon|regular]], with edge length ''a'':<ref>[[Stephen Wolfram]], "[http://www.wolframalpha.com/input/?i=Elongated+pentagonal+gyrobirotunda Elongated pentagonal gyrobirotunda]" from [[Wolfram Alpha]]. Retrieved July 26, 2010.</ref>
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| <math>V=\frac{1}{6}(45+17\sqrt{5}+15\sqrt{5+2\sqrt{5}})a^3 \approx 21.5297...a^3</math>
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| <math>A=10+\sqrt{30(10+3\sqrt{5}+\sqrt{75+30\sqrt{5}}})a^2 \approx 39.306...a^2</math>
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| ==References==
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| {{Reflist}}
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| ==External links==
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| * {{Mathworld2 | urlname = ElongatedPentagonalGyrobirotunda | title =Elongated pentagonal gyrobirotunda | urlname2 = JohnsonSolid | title2 = Johnson solid }}
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| {{Polyhedron-stub}}
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| [[Category:Johnson solids]]
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Revision as of 16:54, 16 February 2014
Myrtle Benny is how I'm known as and I feel comfy when people use the full name. Body developing is what my family and I enjoy. Her spouse and her live in Puerto Rico but she will have to move one working day or another. Managing people has been his working day job for a whilst.
Check out my page - at home std testing