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The geometrical formula V − E + F = 2, where V, E, and F are the numbers of vertices, edges, and faces of any simple convex polyhedron or of an equivalent topological graph.

*‘Mathematicians were forced to consider the question of what constitutes a hole in a solid and what that has to do with Euler's formula for polyhedra.’**‘Another successful project that has been made using puppetry is explaining Euler's formula for platonic solids.’**‘We can use equations and together now to expand Euler's formula in a different way, replacing all the Fibonacci numbers by Lucas numbers.’**‘These data were analyzed and, as a result, the students discovered Euler's formula (number of faces plus number of vertices minus 2 equals number of edges).’**‘Now let's use Euler's formula to figure out how many faces there are.’*

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