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For any polyhedron, Number of Faces + Number of Vertices - Number of Edges = 2. This is Euler's formula.
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Euler's formula, Either of two important mathematical theorems of Leonhard Euler. The first is a topological invariance (see topology) relating the number of faces, vertices, and edges of any polyhedron. It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges.
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