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Combinatorics 5.0/10

Crossings in a Regular Dodecagon

All the diagonals of a regular 12-gon are drawn. How many distinct points in the interior of the polygon lie on two or more diagonals? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Interior intersection points of the diagonals of a regular polygon (Poonen and Rubinstein, 1998); this case computed for AxiomIQ. Statement written for AxiomIQ.