Bidodecateron

The bidodecateron or bidot, also known as the triangular-duotegmatic icosateron or triangular duotegmatic alterprism, is a convex noble polyteron with 20 identical triangular duotegums as tera.

It is also the convex hull of a hexateron and its central inversion.

The ratio between the longest and shortest edges is $$1:\frac{\sqrt6}{2} ≈ 1:1.22474$$.

Vertex coordinates
The vertices of a bidodecateron, based on two hexatera of edge length 1, centered at the origin, are given by:
 * ±(±1/2, –$\sqrt{3}$/6, –$\sqrt{6}$/12, –$\sqrt{10}$/20, –$\sqrt{15}$/30),
 * ±(0, $\sqrt{3}$/3, –$\sqrt{6}$/12, –$\sqrt{10}$/20, –$\sqrt{15}$/30),
 * ±(0, 0, $\sqrt{6}$/4, –$\sqrt{10}$/20, –$\sqrt{15}$/30),
 * ±(0, 0, 0, $\sqrt{10}$/5, –$\sqrt{15}$/30),
 * ±(0, 0, 0, 0, $\sqrt{15}$/6).