Pentagrammic Antiprism


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.

It is implemented in the Wolfram Language as PolyhedronData["PentagrammicAntiprism"].

Its dual polyhedron is the pentagrammic deltohedron.

See also

Pentagrammic Prism, Uniform Polyhedron

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Coxeter, H. S. M.; Longuet-Higgins, M. S.; and Miller, J. C. P. "Uniform Polyhedra." Phil. Trans. Roy. Soc. London Ser. A 246, 401-450, 1954.Har'El, Z. "Uniform Solution for Uniform Polyhedra." Geometriae Dedicata 47, 57-110, 1993.Maeder, R. E. "79: Pentagrammic Antiprism." 1997.

Referenced on Wolfram|Alpha

Pentagrammic Antiprism

Cite this as:

Weisstein, Eric W. "Pentagrammic Antiprism." From MathWorld--A Wolfram Web Resource.

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