Small rhombidodecacron

Each face has two angles of $\backslash arccos(\backslash frac\{5\}\{8\}+\backslash frac\{1\}\{8\}\backslash sqrt\{5\})\backslash approx\; 25.242\backslash ,832\backslash ,961\backslash ,52^\{\backslash circ\}$ and two angles of $\backslash arccos(-\backslash frac\{1\}\{2\}+\backslash frac\{1\}\{5\}\backslash sqrt\{5\})\backslash approx\; 93.025\backslash ,844\backslash ,508\backslash ,96^\{\backslash circ\}$. The diagonals of each antiparallelogram intersect at an angle of $\backslash arccos(\backslash frac\{1\}\{4\}+\backslash frac\{1\}\{10\}\backslash sqrt\{5\})\backslash approx\; 61.731\backslash ,322\backslash ,529\backslash ,52^\{\backslash circ\}$. The ratio between the lengths of the long edges and the short ones equals $\backslash frac\{1\}\{2\}+\backslash frac\{1\}\{2\}\backslash sqrt\{5\}$, which is the golden ratio. The dihedral angle equals $\backslash arccos(\backslash frac\{-19-8\backslash sqrt\{5\}\}\{41\})\backslash approx\; 154.121\backslash ,363\backslash ,125\backslash ,78^\{\backslash circ\}$.

• {{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 = SmallRhombidodecacron| title =Small rhombidodecacron}}
• [http://gratrix.net/polyhedra/uniform/summary Uniform polyhedra and duals]

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Category:Dual uniform polyhedra

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