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Gyroelongated triangular cupola : ウィキペディア英語版
Gyroelongated triangular cupola

In geometry, the gyroelongated triangular cupola is one of the Johnson solids (''J''22). It can be constructed by attaching a hexagonal antiprism to the base of a triangular cupola (''J''3). This is called "gyroelongation", which means that an antiprism is joined to the base of a solid, or between the bases of more than one solid.
The gyroelongated triangular cupola can also be seen as a gyroelongated triangular bicupola (''J''44) with one triangular cupola removed. Like all cupolae, the base polygon has twice as many sides as the top (in this case, the bottom polygon is a hexagon because the top is a triangle).
==Formulae==
The following formulae for volume and surface area can be used if all faces are regular, with edge length ''a'':〔Stephen Wolfram, "(Gyroelongated triangular cupola )" from Wolfram Alpha. Retrieved July 22, 2010.〕
V=(\frac\sqrt+18\sqrt+30\sqrt)a^3\approx3.51605...a^3
A=(3+\frac)a^2\approx12.5263...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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