The pentagrammic deltohedron (Har'El 1993) is the dual polyhedron of the pentagrammic antiprism 
.
Pentagrammic Deltohedron
See also
Dual Polyhedron, Pentagrammic Antiprism, Uniform PolyhedronExplore with Wolfram|Alpha
References
Har'El, Z. "Uniform Solution for Uniform Polyhedra." Geom. Dedicata 47, 57-110, 1993. http://www.math.technion.ac.il/~rl/docs/uniform.pdf.Referenced on Wolfram|Alpha
Pentagrammic DeltohedronCite this as:
Weisstein, Eric W. "Pentagrammic Deltohedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PentagrammicDeltohedron.html