Decagonal-great rhombicuboctahedral duoprism

The decagonal-great rhombicuboctahedral duoprism or dagirco is a convex uniform duoprism that consists of 10 great rhombicuboctahedral prisms, 6 octagonal-decagonal duoprisms, 8 hexagonal-decagonal duoprisms and 12 square-decagonal duoprisms.

This polychoron can be alternated into a pentagonal-snub cubic duoantiprism, although it cannot be made uniform. The great rhombicuboctahedra can be bialternated to create a pentagonal-pyritohedral prismantiprismoid, which is also nonuniform.

Vertex coordinates
The vertices of a decagonal-great rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±(1+$\sqrt{19+2√23+6√10}$)/2, ±1/2, ±(1+$\sqrt{5}$)/2, ±(1+2$\sqrt{2}$)/2)
 * (±$\sqrt{2}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1/2, ±(1+$\sqrt{5}$)/2, ±(1+2$\sqrt{2}$)/2)
 * (±$\sqrt{2}$/2, ±1/2, ±1/2, ±(1+$\sqrt{5+2√5}$)/2, ±(1+2$\sqrt{2}$)/2)