Small Dodecahemidodecahedron


The small dodecahemidodecahedron is the uniform polyhedron with Maeder index 51 (Maeder 1997), Wenninger index 91 (Wenninger 1989), Coxeter index 65 (Coxeter et al. 1954), and Har'El index 66 (Har'El 1993). It has Wythoff symbol 5/45|5 and its faces are 12{5}+6{10}.


Its skeleton is the icosidodecahedral graph.

Its convex hull is the regular icosidodecahedron.

Its circumradius for unit edge lengths is R=phi, where phi is the golden ratio.

Its dual polyhedron is the small dodecahemidodecacron.

See also

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. "51: Small Dodecahemidodecahedron." 1997., M. J. "Small Dodecahemidodecahedron." Model 91 in Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 113-114, 1971.

Referenced on Wolfram|Alpha

Small Dodecahemidodecahedron

Cite this as:

Weisstein, Eric W. "Small Dodecahemidodecahedron." From MathWorld--A Wolfram Web Resource.

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