Syneos Health (South Korea)

Determining a Regular n-Gon from Points on Distinct Sides

A convex regular n-gon has four Euclidean degrees of freedom. Four generic distinguishable points in the plane lie on four distinct supporting side-lines of exactly (n − 1)(n − 2)(n − 3) geometric regular n-gons, one per injective assignment of the points to sides modulo a common...