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square gyrobicupola : ウィキペディア英語版
square gyrobicupola

In geometry, the square gyrobicupola is one of the Johnson solids (''J''29). Like the square orthobicupola (''J''28), it can be obtained by joining two square cupolae (''J''4) along their bases. The difference is that in this solid, the two halves are rotated 45 degrees with respect to one another.
The ''square gyrobicupola'' is the second in an infinite set of gyrobicupolae.
Related to the square gyrobicupola is the elongated square gyrobicupola. This polyhedron is created when an octagonal prism is inserted between the two halves of the square gyrobicupola. It is argued whether or not the elongated square gyrobicupola is an Archimedean solid because, although it meets every other standard necessary to be an Archimedean solid, it is not highly symmetric.
==Formulae==
The following formulae for volume and surface area can be used if all faces are regular, with edge length ''a'':〔Stephen Wolfram, "(Triangular gyrobicupola )" from Wolfram Alpha. Retrieved July 23, 2010.〕
V=(2+\frac)a^3\approx3.88562...a^3
A=2(5+\sqrt)a^2\approx13.4641...a^2

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