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Snub dodecahedron
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{{Short description|Archimedean solid with 92 faces}} {{Semireg polyhedra db|Semireg polyhedron stat table|nID}} [[File:Snub dodecahedron.stl|thumb|3D model of a snub dodecahedron]] In [[geometry]], the '''snub dodecahedron''', or '''snub icosidodecahedron''', is an [[Archimedean solid]], one of thirteen convex [[Isogonal figure|isogonal]] nonprismatic solids constructed by two or more types of [[regular polygon]] [[Face (geometry)|face]]s. The snub dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are [[pentagon]]s and the other 80 are [[equilateral triangle]]s. It also has 150 edges, and 60 vertices. It has two distinct forms, which are [[mirror image]]s (or "[[Chirality (mathematics)|enantiomorphs]]") of each other. The union of both forms is a [[compound of two snub dodecahedra]], and the [[convex hull]] of both forms is a [[truncated icosidodecahedron]]. [[Kepler]] first named it in [[Latin]] as '''dodecahedron simum''' in 1619 in his [[Harmonices Mundi]]. [[H. S. M. Coxeter]], noting it could be derived equally from either the dodecahedron or the icosahedron, called it '''snub icosidodecahedron''', with a vertical extended [[Schläfli symbol]] <math>s \scriptstyle\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math> and flat Schläfli symbol {{math|sr{5,3}.}}
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