On this site you'll find lots of logic puzzles and riddles, puzzling riddles,
science puzzles and math puzzles and riddles.

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Show that there exist only five platonic solids (that are objects which are build out of the one sort of regular polygons, like the tetrahedron and the cube). Hint: use that for each solid in three dimensions it holds that the number of vertices + the number of faces is equal to the number of edges + 2.