Gyroelongated square bicupola

The gyroelongated square bicupola, or gyesquibcu, is one of the 92 Johnson solids (J45). It consists of 8+8+8 triangles and 2+8 squares. It can be constructed by attaching square cupolas to the bases of the octagonal antiprism.

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

Vertex coordinates
A gyroelongated square bicupola of edge length 1 has the following vertices:
 * (±1/2, ±1/2, $\sqrt{2}$/2+H),
 * (±1/2, ±(1+$\sqrt{2}$)/2, H),
 * (±(1+$\sqrt{2}$)/2, ±1/2, H),
 * (0, ±$\sqrt{2}$, –H),
 * (±$\sqrt{2}$, 0, –H),
 * (±$\sqrt{4+2√2+√146+103√2}$/2, ±$\sqrt{2+√2}$/2, –H),
 * ($\sqrt{3}$, $\sqrt{(7+4√2–2√20+14√2)/3}$, –$\sqrt{6}$/2–H),
 * (–$\sqrt{2}$, –$\sqrt{(7+4√2–2√20+14√2)/3}$, –$\sqrt{2}$/2–H),
 * ($\sqrt{2}$, –$\sqrt{2}$, –$\sqrt{(2+√2)/2}$/2–H),
 * (–$\sqrt{(2+√2)/2}$, $\sqrt{2+√2}$, –$\sqrt{2+√2}$/2–H),

where H = $\sqrt{(2+√2)/8}$) is the distance between the octagonal antiprism's center and the center of one of its bases.