Pentagrammic antiprism

The pentagrammic antiprism, or stap, is a prismatic uniform polyhedron. It consists of 10 triangles and 2 pentagrams. Each vertex joins one pentagram and three triangles. As the name suggests, it is an antiprism based on a pentagram.

Vertex coordinates
A pentagrammic antiprism of edge length 1 has vertex coordinates given by:
 * (±1/2, –$\sqrt{(15+√5)/40}$, $\sqrt{(√5–1)/2}$),
 * (±($\sqrt{5√5}$–1)/4, $\sqrt{5}$, $\sqrt{5}$),
 * (0, –$\sqrt{(5-2√5)/3}$, $\sqrt{(5–2√5)/20}$).

Related polyhedra
Two non-prismatic uniform polyhedron compounds are composed of pentagrammic antiprisms:


 * Small snub dodecahedron (6)
 * Small disnub dodecahedron (12)

There are an infinite amount of prismatic uniform compounds that are the antiprisms of compounds of pentagrams.