Medial deltoidal hexecontahedron

The kites have two angles of $\backslash arccos(\backslash frac\{1\}\{6\})\backslash approx\; 80.405\backslash ,931\backslash ,773\backslash ,14^\{\backslash circ\}$, one of $\backslash arccos(-\backslash frac\{1\}\{8\}+\backslash frac\{7\}\{24\}\backslash sqrt\{5\})\backslash approx\; 58.184\backslash ,446\backslash ,117\backslash ,59^\{\backslash circ\}$ and one of $\backslash arccos(-\backslash frac\{1\}\{8\}-\backslash frac\{7\}\{24\}\backslash sqrt\{5\})\backslash approx\; 141.003\backslash ,690\backslash ,336\backslash ,13^\{\backslash circ\}$. The dihedral angle equals $\backslash arccos(-\backslash frac\{5\}\{7\})\backslash approx\; 135.584\backslash ,691\backslash ,402\backslash ,81^\{\backslash circ\}$. The ratio between the lengths of the long and short edges is $\backslash frac\{27+7\backslash sqrt\{5\}\}\{22\}\backslash approx\; 1.938\backslash ,748\backslash ,901\backslash ,931\backslash ,75$. Part of each kite lies inside the solid, hence is invisible in solid models.

• {{Citation | last1=Wenninger | first1=Magnus | author1-link=Magnus Wenninger | title=Dual Models | publisher=Cambridge University Press | isbn=978-0-521-54325-5 | mr= 730208| year=1983}}

• {{mathworld | urlname = MedialDeltoidalHexecontahedron| title =Medial deltoidal hexecontahedron}}
• [https://web.archive.org/web/20171110075259/http://gratrix.net/polyhedra/uniform/summary/ Uniform polyhedra and duals]

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Category:Dual uniform polyhedra

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