Tridyakis icosahedron

The triangles have one angle of $\backslash arccos(\backslash frac\{3\}\{5\})\backslash approx\; 53.130\backslash ,102\backslash ,354\backslash ,16^\{\backslash circ\}$, one of $\backslash arccos(\backslash frac\{1\}\{3\}+\backslash frac\{4\}\{15\}\backslash sqrt\{5\})\backslash approx\; 21.624\backslash ,633\backslash ,927\backslash ,143^\{\backslash circ\}$ and one of $\backslash arccos(\backslash frac\{1\}\{3\}-\backslash frac\{4\}\{15\}\backslash sqrt\{5\})\backslash approx\; 105.245\backslash ,263\backslash ,718\backslash ,70^\{\backslash circ\}$. The dihedral angle equals $\backslash arccos(-\backslash frac\{7\}\{8\})\backslash approx\; 151.044\backslash ,975\backslash ,628\backslash ,14^\{\backslash circ\}$. Part of each triangle lies within the solid, hence is invisible in solid models.

• Catalan solid Duals to convex uniform polyhedra
• Uniform polyhedra
• List of uniform polyhedra

• {{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}} Photo on page 96, Dorman Luke construction and stellation pattern on page 97.
• {{MathWorld | urlname=TridyakisIcosahedron| title=Tridyakis Icosahedron}}

Category:Dual uniform polyhedra

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