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Pentagonal cupola : ウィキペディア英語版
Pentagonal cupola

In geometry, the pentagonal cupola is one of the Johnson solids (''J''5). It can be obtained as a slice of the rhombicosidodecahedron. The pentagonal cupola consists of 5 equilateral triangles, 5 squares, 1 pentagon, and 1 decagon.
==Formulae==
The following formulae for volume, surface area and circumradius can be used if all faces are regular, with edge length ''a'':〔Stephen Wolfram, "(Pentagonal cupola )" from Wolfram Alpha. Retrieved July 21, 2010.〕
V=\left(\frac\left(5+4\sqrt\right)\right)a^3\approx2.32405...a^3
A=\left(\frac\left(20+5\sqrt+\sqrt\right)\right)a^2=\left(\frac\left(20+\sqrt)}\right)}\right)\right)a^2\approx16.5797...a^2
C=\left(\frac\sqrt{11+4\sqrt{5}}\right)a\approx2.23295...a

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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