Great triakis octahedron

The triangles have one angle of $\backslash arccos(\backslash frac\{1\}\{4\}+\backslash frac\{1\}\{2\}\backslash sqrt\{2\})\backslash approx\; 16.842\backslash ,116\backslash ,236\backslash ,30^\{\backslash circ\}$ and two of $\backslash arccos(\backslash frac\{1\}\{2\}-\backslash frac\{1\}\{4\}\backslash sqrt\{2\})\backslash approx\; 81.578\backslash ,941\backslash ,881\backslash ,85^\{\backslash circ\}$. The dihedral angle equals $\backslash arccos(\backslash frac\{-3+8\backslash sqrt\{2\}\}\{17\})\backslash approx\; 60.722\backslash ,386\backslash ,809\backslash ,64^\{\backslash circ\}$.

• {{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}}

• [http://mathworld.wolfram.com/GreatTriakisOctahedron.html Mathworld - Great Triakis Octahedron]
• [http://mathworld.wolfram.com/SmallTriakisOctahedron.html Mathworld - Small Triakis Octahedron]
• [http://gratrix.net/polyhedra/uniform/summary Uniform polyhedra and duals]

Category:Dual uniform polyhedra

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