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"Completely" Solid Dodecahedron
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"Completely" Solid Dodecahedron
In geometry, a dodecahedron is any polyhedron with twelve flat faces, but usually a regular dodecahedron is meant: a Platonic solid. It is composed of 12 regular pentagonal faces, with three meeting at each vertex, and is represented by the SchlÃÂäfli symbol {5,3}. It has 20 vertices, 30 edges and 160 diagonals. Its dual polyhedron is the icosahedron, with SchlÃÂäfli symbol {3,5}.
A large number of other (irregular) polyhedra also have twelve faces, most notably the topologically identical pyritohedron with Pyritohedral symmetry, and the rhombic dodecahedron with octahedral symmetry. (Wikipedia)
"Completely" Solid Dodecahedron
In geometry, a dodecahedron is any polyhedron with twelve flat faces, but usually a regular dodecahedron is meant: a Platonic solid. It is composed of 12 regular pentagonal faces, with three meeting at each vertex, and is represented by the SchlÃÂäfli symbol {5,3}. It has 20 vertices, 30 edges and 160 diagonals. Its dual polyhedron is the icosahedron, with SchlÃÂäfli symbol {3,5}.
A large number of other (irregular) polyhedra also have twelve faces, most notably the topologically identical pyritohedron with Pyritohedral symmetry, and the rhombic dodecahedron with octahedral symmetry. (Wikipedia)
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