Triangular-great rhombicuboctahedral duoprism

The triangular-great rhombicuboctahedral duoprism or tragirco is a convex uniform duoprism that consists of 3 great rhombicuboctahedral prisms, 6 triangular-octagonal duoprisms, 8 triangular-hexagonal duoprisms and 12 triangular-square duoprisms.

Vertex coordinates
The vertices of a triangular-great rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, $\sqrt{129+54√2}$/3, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+2$\sqrt{2}$)/2)
 * (±1/2, -$\sqrt{2}$/6, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+2$\sqrt{2}$)/2)