The pentagrammic antiprism is the uniform polyhedron with Maeder index 79 (Maeder 1997), Coxeter index 34 (Coxeter et al. 1954),
and Har'El index 4 (Har'El 1993). Its faces consist of two pentagrams
and 10 intersecting equilateral triangles,
making it a (non-regular) dodecahedron.
Coxeter, H. S. M.; Longuet-Higgins, M. S.; and Miller, J. C. P. "Uniform Polyhedra." Phil. Trans. Roy.
Soc. London Ser. A246, 401-450, 1954.Har'El, Z. "Uniform
Solution for Uniform Polyhedra." Geometriae Dedicata47, 57-110,
1993.Maeder, R. E. "79: Pentagrammic Antiprism." 1997.
https://www.mathconsult.ch/static/unipoly/79.html.
