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・ Elongated caecilian
・ Elongated coin
・ Elongated cupola
・ Elongated dodecahedron
・ Elongated hexagonal bipyramid
・ Elongated labia
・ Elongated Man
・ Elongated octahedron
・ Elongated pentagonal bipyramid
・ Elongated pentagonal cupola
・ Elongated pentagonal gyrobicupola
・ Elongated pentagonal gyrobirotunda
・ Elongated pentagonal gyrocupolarotunda
・ Elongated pentagonal orthobicupola
・ Elongated pentagonal orthobirotunda
Elongated pentagonal orthocupolarotunda
・ Elongated pentagonal pyramid
・ Elongated pentagonal rotunda
・ Elongated pyramid
・ Elongated shrew
・ Elongated square bipyramid
・ Elongated square cupola
・ Elongated square gyrobicupola
・ Elongated square pyramid
・ Elongated stitch
・ Elongated tortoise
・ Elongated triangular bipyramid
・ Elongated triangular cupola
・ Elongated triangular gyrobicupola
・ Elongated triangular orthobicupola


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Elongated pentagonal orthocupolarotunda : ウィキペディア英語版
Elongated pentagonal orthocupolarotunda

In geometry, the elongated pentagonal orthocupolarotunda is one of the Johnson solids (''J''40). As the name suggests, it can be constructed by elongating a pentagonal orthocupolarotunda (''J''32) 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''41).
==Formulae==
The following formulae for volume and surface area can be used if all faces are regular, with edge length ''a'':〔Stephen Wolfram, "(Elongated pentagonal orthocupolarotunda )" from Wolfram Alpha. Retrieved July 25, 2010.〕
V=\frac(11+5\sqrt+6\sqrt(60+\sqrt}}))a^2\approx33.5385...a^2

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