# Concurrent Diagonals in a 30-Gon

Concurrent Diagonals in a 30-Gon

When three lines meet at a point, they are concurrent. For the diagonals of a 30-gon, out of the 16801 intersection points, there are 3001 points where three or more lines intersect, with 193 different ways to select three concurrent diagonals.

Consider six points that divide a circle into arcs . If , then the three lines connecting opposing points are concurrent [1]. This property was used to find the sets of lines. By the pizza theorem, half the circle is covered by wedges , and half by wedges .

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