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| {{Infobox polyhedron
| | Hello and welcome. My name is Irwin and I completely dig that name. Body developing is one of the things I love most. North Dakota is where me and my spouse live. For many years he's been working as a meter reader and it's something he truly appreciate.<br><br>Feel free to visit my webpage - [http://pagepapers.com/index.php?do=/profile-4850/info/ over the counter std test] |
| |image=elongated_pentagonal_orthocupolarotunda.png
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| |type=[[Johnson solid|Johnson]]<br>[[elongated pentagonal gyrobicupola|J<sub>39</sub>]] -''' J<sub>40</sub>''' - [[elongated pentagonal gyrocupolarotunda|J<sub>41</sub>]]
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| |faces=3.5 [[triangle]]s<br>3.5 [[Square (geometry)|square]]s<br>2+5 [[pentagon]]s
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| |edges=70
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| |vertices=35
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| |symmetry=''C''<sub>5v</sub>
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| |vertex_config=10(3.4<sup>3</sup>)<br>10(3.4<sup>2</sup>.5)<br>5(3.4.5.4)<br>2.5(3.5.3.5)
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| |dual=-
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| |properties=[[convex set|convex]]
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| |net=Johnson solid 40 net.png
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| }}
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| In [[geometry]], the '''elongated pentagonal orthocupolarotunda''' is one of the [[Johnson solid]]s (''J''<sub>40</sub>). As the name suggests, it can be constructed by elongating a [[pentagonal orthocupolarotunda]] (''J''<sub>32</sub>) by inserting a [[decagonal prism]] between its halves. Rotating either the cupola or the rotunda through 36 degrees before inserting the prism yields an [[elongated pentagonal gyrocupolarotunda]] (''J''<sub>41</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+orthocupolarotunda Elongated pentagonal orthocupolarotunda]" from [[Wolfram Alpha]]. Retrieved July 25, 2010.</ref>
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| <math>V=\frac{5}{12}(11+5\sqrt{5}+6\sqrt{5+2\sqrt{5}})a^3\approx16.936...a^3</math>
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| <math>A=\frac{1}{4}(60+\sqrt{10(190+49\sqrt{5}+21\sqrt{75+30\sqrt{5}}}))a^2\approx33.5385...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 = ElongatedPentagonalOrthocupolarotunda | title = Elongated pentagonal orthocupolarotunda | urlname2 = JohnsonSolid | title2 = Johnson solid }}
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| {{Polyhedron-stub}}
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| [[Category:Johnson solids]]
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Latest revision as of 13:25, 5 May 2014
Hello and welcome. My name is Irwin and I completely dig that name. Body developing is one of the things I love most. North Dakota is where me and my spouse live. For many years he's been working as a meter reader and it's something he truly appreciate.
Feel free to visit my webpage - over the counter std test