View source for Heptagonal-square antiprismatic duoprism

==Vertex coordinates==
The vertices of a heptagonal-square antiprismatic duoprism of edge length 2sin(π/7) are given by:
*<math>\left(1,\,0,\,\pm \sin\frac\pi7,\,\pm \sin\frac\pi7,\,\frac{\sqrt[4]8\sin\frac\pi7}2\right),</math>
*<math>\left(\cos\frac{j\pi}7,\,\pm \sin\frac{j\pi}7,\,\pm \sin\frac\pi7,\,\pm \sin\frac\pi7,\,\frac{\sqrt[4]8\sin\frac\pi7}2\right),</math>
*<math>\left(1,\,0,\,0,\,\pm \sqrt2\sin\frac\pi7,\,-\frac{\sqrt[4]8\sin\frac\pi7}2\right),</math>
*<math>\left(\cos\frac{j\pi}7,\,\pm \sin\frac{j\pi}7,\,0,\,\pm \sqrt2\sin\frac\pi7,\,-\frac{\sqrt[4]8\sin\frac\pi7}2\right),</math>
*<math>\left(1,\,0,\,\pm \sqrt2\sin\frac\pi7,\,0,\,-\frac{\sqrt[4]8\sin\frac\pi7}2\right),</math>
*<math>\left(\cos\frac{j\pi}7,\,\pm \sin\frac{j\pi}7,\,\pm \sqrt2\sin\frac\pi7,\,0,\,-\frac{\sqrt[4]8\sin\frac\pi7}2\right),</math>
where j = 2, 4, 6.