Dodecagonal-small rhombicosidodecahedral duoprism

The dodecagonal-small rhombicosidodecahedral duoprism or twasrid is a convex uniform duoprism that consists of 12 small rhombicosidodecahedral prisms, 12 pentagonal-dodecagonal duoprisms, 30 square-dodecagonal duoprisms and 20 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-small rhombicosidodecahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of: as well as all even permuations and all sign changes of the last three coordinates of:
 * (±(1+$\sqrt{19+4√8+2√15}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±(2+$\sqrt{5}$)/2, ±1/2, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/2, 0, ±(3+$\sqrt{3}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±1/2, ±(2+$\sqrt{5}$)/2, 0, ±(3+$\sqrt{3}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±(2+$\sqrt{5}$)/2, ±1/2, 0, ±(3+$\sqrt{3}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{3}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±(2+$\sqrt{5}$)/2, ±1/2, ±(1+$\sqrt{3}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)