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.
http://www.math.technion.ac.il/~rl/docs/uniform.pdf . 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 https://mathworld.wolfram.com/PentagrammicPrism.html
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