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Pentagrammic Prism

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U78

The equilateral pentagrammic prism is the uniform polyhedron with Maeder index 78 (Maeder 1997), Coxeter index 33 (Coxeter et al. 1954), and Har'El index 3 (Har'El 1993). Its faces consist of two pentagrams and 5 intersecting squares, making it a (non-regular) heptahedron.

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

Its dual polyhedron is the pentagrammic dipyramid.

See also

Pentagonal Prism, Pentagrammic Antiprism, Pentagrammic Crossed Antiprism, 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. "78: Pentagrammic Prism." 1997. https://www.mathconsult.ch/static/unipoly/78.html.

Referenced on Wolfram|Alpha

Pentagrammic Prism

Cite this as:

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

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