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The geometric 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.
‘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.’
‘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.’