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Pentagrammic Crossed Antiprism

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U80

The pentagrammic crossed antiprism is the uniform polyhedron with Maeder index 80 (Maeder 1997), Coxeter index 35 (Coxeter et al. 1954), and Har'El index 5 (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["PentagrammicCrossedAntiprism"].

Its dual polyhedron is the pentagrammic concave deltohedron.

See also

Antiprism, Pentagrammic Concave Deltohedron, Pentagrammic Antiprism, Pentagrammic Prism, Uniform Polyhedron

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References

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." Geom. Dedicata 47, 57-110, 1993. https://doi.org/10.1007/BF01263494.Maeder, R. E. "80: Pentagrammic Crossed Antipris." 1997. https://www.mathconsult.ch/static/unipoly/80.html.

Referenced on Wolfram|Alpha

Pentagrammic Crossed Antiprism

Cite this as:

Weisstein, Eric W. "Pentagrammic Crossed Antiprism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentagrammicCrossedAntiprism.html

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