The dual of the icosidodecadodecahedron and Wenninger dual 
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Medial Icosacronic Hexecontahedron
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References
Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, p. 85, 1983.Referenced on Wolfram|Alpha
Medial Icosacronic HexecontahedronCite this as:
Weisstein, Eric W. "Medial Icosacronic Hexecontahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MedialIcosacronicHexecontahedron.html