Small rhombihexacron

The small rhombihexacron is a uniform dual polyhedron. It consists of 24 bowties.

It appears the same as the small hexacronic icositetrahedron.

If its dual, the small rhombihexahedron, has an edge length of 1, then the short edges of the bowties will measure $$\sqrt{2\left(2+\sqrt2\right)} ≈ 2.61313$$, and the long edges will be $$2\sqrt{2+\sqrt2} ≈ 3.69552$$. ​The kites have two interior angles of $$\arccos\left(\frac14+\frac{\sqrt2}{2}\right) ≈ 16.84212°$$, and two of $$\arccos\left(-\frac12+\frac{\sqrt2}{4}\right) ≈ 98.42106°$$. The intersection has an angle of $$\arccos\left(\frac14+\frac{\sqrt2}{8}\right) ≈ 64.73683°$$.

Vertex coordinates
A small rhombihexacron with dual edge length 1 has vertex coordinates given by all permutations of:
 * $$\left(±\left(2+\sqrt2\right),\,0,\,0\right),$$
 * $$\left(±1,\,±1,\,0\right).$$