OME 1964 Problem 3
A convex polygon of sides is considered. All its diagonals are drawn and we suppose that any three of them can only intersect on a vertex and that there is no pair of parallel diagonals. Under these conditions, we wish to compute
a) The total number of intersection points of these diagonals, excluding the vertices.
b) How many points, of these intersections, lie inside the polygon and how many lie outside.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.