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・ Eloria
・ Eloria diaphana
・ Eloria noyesi
・ Elorriaga
・ Elorrio
・ 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


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

In geometry, the elongated pentagonal gyrobicupola is one of the Johnson solids (''J''39). As the name suggests, it can be constructed by elongating a pentagonal gyrobicupola (''J''31) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal cupolae (''J''5) through 36 degrees before inserting the prism yields an elongated pentagonal orthobicupola (''J''38).
==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 gyrobicupola )" from Wolfram Alpha. Retrieved July 25, 2010.〕
V=\frac\left(10+8\sqrt+15\sqrt\left(10+\sqrt+\sqrt\right)a^2\approx27.7711...a^2

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