Small hexacronic icositetrahedron

The small hexacronic icositetrahedron is a uniform dual polyhedron. It consists of 24 darts.

It appears the same as the small rhombihexacron.

If its dual, the small cubicuboctahedron, has an edge length of 1, then the short edges of the darts will measure $$2\frac{\sqrt{2\left(26+17\sqrt2\right)}}{7} ≈ 2.85833$$, and the long edges will be $$2\sqrt{2+\sqrt2} ≈ 3.69552$$. ​The dart faces will have length $$2\frac{\sqrt{31-8\sqrt2}}{7} ≈ 1.26769$$, and width $$2\left(1+\sqrt2\right) ≈ 4.82843$$. ​The darts have two interior angles of $$\arccos\left(\frac14+\frac{\sqrt2}{2}\right) ≈ 16.84212^\circ$$, one of $$\arccos\left(\frac12-\frac{\sqrt2}{4}\right) ≈ 81.57894^\circ$$, and one of $$360^\circ-\arccos\left(-\frac14-\frac{\sqrt2}{8}\right) ≈ 244.73683^\circ$$.

Vertex coordinates
A small hexacronic icositetrahedron with dual edge length 1 has vertex coordinates given by all permutations of:
 * $$\left(±\left(2+\sqrt2\right),\,0,\,0\right),$$
 * $$\left(±\sqrt2,\,0,\,0\right),$$
 * $$\left(±\frac{4+\sqrt2}{7},\,±\frac{4+\sqrt2}{7},\,±\frac{4+\sqrt2}{7}\right).$$