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

In geometry, the gyroelongated triangular bicupola is one of the Johnson solids (''J''44). As the name suggests, it can be constructed by gyroelongating a triangular bicupola (either ''J''27 or the cuboctahedron) by inserting a hexagonal antiprism between its congruent halves.
The gyroelongated triangular bicupola is one of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form. In the illustration to the right, each square face on the bottom half of the figure is connected by a path of two triangular faces to a square face above it and to the right. In the figure of opposite chirality (the mirror image of the illustrated figure), each bottom square would be connected to a square face above it and to the left. The two chiral forms of ''J''44 are not considered different Johnson solids.
==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 bicupola )" from Wolfram Alpha. Retrieved July 30, 2010.〕
V= \sqrt (\frac+\sqrt)a^2 \approx 14.6603...a^2

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