Triangular-small rhombicuboctahedral duoprism

The triangular-small rhombicuboctahedral duoprism or trasirco is a convex uniform duoprism that consists of 3 small rhombicuboctahedral prisms, 18 triangular-square duoprisms of two kinds and 8 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-small rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, $\sqrt{57+18√2}$/3, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2)
 * (±1/2, -$\sqrt{2}$/6, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2)