small stellapentakis dodecahedron

The triangles have two acute angles of $\backslash arccos(\backslash frac\{1\}\{2\}+\backslash frac\{1\}\{5\}\backslash sqrt\{5\})\backslash approx\; 18.699\backslash ,407\backslash ,085\backslash ,149^\{\backslash circ\}$ and one obtuse angle of $\backslash arccos(\backslash frac\{1\}\{10\}-\backslash frac\{2\}\{5\}\backslash sqrt\{5\})\backslash approx\; 142.601\backslash ,185\backslash ,829\backslash ,70^\{\backslash circ\}$. The dihedral angle equals $\backslash arccos(\backslash frac\{-24-5\backslash sqrt\{5\}\}\{41\})\backslash approx\; 149.099\backslash ,125\backslash ,827\backslash ,35^\{\backslash circ\}$. Part of each triangle lies within 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 = SmallStellapentakisDodecahedron| title =Small stellapentakis dodecahedron}}
• [http://gratrix.net/polyhedra/uniform/summary Uniform polyhedra and duals]

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Category:Nonconvex polyhedra

Category:Dual uniform polyhedra

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