what is euler formula for Polyhedra
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Euler's Polyhedral Formula For a connected plane graph G with n vertices, e edges and f faces, n − e + f = 2. Plane graphs are those which have been drawn on a plane or sphere with edges meeting only at vertices. ... We can extend Euler's formula: n − e + f = c + 1, where c is the number of connected components.
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This theorem involves Euler's polyhedral formula (sometimes called Euler's formula). Today we would state this result as: The number of vertices V, faces F, and edges E in a convex 3-dimensional polyhedron, satisfy V + F - E = 2.
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