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Inverted Snub Dodecadodecahedron

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U60

The inverted snub dodecadodecahedron is the uniform polyhedron with Maeder index 60 (Maeder 1997), Wenninger index 114 (Wenninger 1989), Coxeter index 76 (Coxeter et al. 1954), and Har'El index 65 (Har'El 1993). It has Wythoff symbol |25/35 and faces 12{5/3}+60{3}+12{5}.

The inverted snub dodecadodecahedron is implemented in the Wolfram Language as UniformPolyhedron[114], UniformPolyhedron["InvertedSnubDodecadodecahedron"], UniformPolyhedron[{"Coxeter", 76}], UniformPolyhedron[{"Kaleido", 65}], UniformPolyhedron[{"Uniform", 60}], or UniformPolyhedron[{"Wenninger", 114}]. It is also implemented in the Wolfram Language as PolyhedronData["InvertedSnubDodecadodecahedron"].

It has circumradius for unit edge length of

R approx 0.8516302.

Its dual polyhedron is the medial inverted pentagonal hexecontahedron

See also

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." Geometriae Dedicata 47, 57-110, 1993.Maeder, R. E. "60: Inverted Snub Dodecadodecahedron." 1997. https://www.mathconsult.ch/static/unipoly/60.html.Wenninger, M. J. "Inverted Snub Dodecadodecahedron." Model 114 in Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 180-182, 1989.

Referenced on Wolfram|Alpha

Inverted Snub Dodecadodecahedron

Cite this as:

Weisstein, Eric W. "Inverted Snub Dodecadodecahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InvertedSnubDodecadodecahedron.html

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