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

In geometry, the pentagonal orthocupolarotunda is one of the Johnson solids (''J''32). As the name suggests, it can be constructed by joining a pentagonal cupola (''J''5) and a pentagonal rotunda (''J''6) along their decagonal bases, matching the pentagonal faces. A 36-degree rotation of one of the halves before the joining yields a pentagonal gyrocupolarotunda (''J''33).
==Formulae==
The following formulae for volume and surface area can be used if all faces are regular, with edge length ''a'':〔Stephen Wolfram, "(Pentagonal orthocupolarotunda )" from Wolfram Alpha. Retrieved July 24, 2010.〕
V=\frac(11+5\sqrt)a^3\approx9.24181...a^3
A=(5+\frac\sqrt}})a^2\approx23.5385...a^2

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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