The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Analytic Geometry 3D Solids Platonic Solids Dodecahedron  
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DodecahedronA regular dodecahedron is one of the Platonic solids, having 12 regular pentagonal faces. The coordinates of the vertices of a dodecahedron can be described by the following two expressions: where k=0..4, and Φ is the Golden Ratio . The top and bottom faces of this dodecahedron are in parallel to the xyplane, the edge length is .The volume V of the dodecahedron with given edge length a is its surface S is The radii of the circumscribed (r_{c}) and inscribed (r_{i}) spheres are = a1.40125853844407354467...,


Home Analytic Geometry 3D Solids Platonic Solids Dodecahedron 