Gyroelongated triangular bicupola

The gyroelongated triangular bicupola, or gyetibcu, is one of the 92 Johnson solids (J44). It consists of 2+6+6+6 triangles and 6 squares. It can be constructed by attaching triangular cupolas -to the bases of the hexagonal antiprism.

It is one of the five Johnson solids to be chiral.

Vertex coordinates
A gyroelongated triangular bicupola of edge length 1 has the following vertices:
 * (±1/2, –$\sqrt{2}$/6, (2$\sqrt{2}$+3$\sqrt{2}$)/6)
 * (0, $\sqrt{2+2√3}$/3, (2$\sqrt{3}$+3$\sqrt{3}$)/6)
 * (±1/2, ±$\sqrt{3}$/2, $\sqrt{3}$/2)
 * (±1, 0, $\sqrt{3}$/2)
 * (±$\sqrt{3}$/2, ±1/2, –$\sqrt{6}$/2)
 * (0, ±1, –$\sqrt{{{radic|3}}–1}$/2)
 * (–$\sqrt{3}$/6, ±1/2, –(2$\sqrt{6}$+3$\sqrt{{{radic|3}}–1}$)/6)
 * ($\sqrt{3}$/3, 0 –(2$\sqrt{{{radic|3}}–1}$+3$\sqrt{{{radic|3}}–1}$)/6)