Inscribe a regular -gon in a circle of radius . Fix one vertex, and draw the chords from that vertex to each of the others. The product of those chords' lengths is , the number of sides! The same is true for any number of sides greater than . The proof in the image uses precalculus-level algebra, and properties of complex numbers: How a monic polynomial (whose top-degree coefficient is ) factors in terms of its roots, and the way a difference of -th powers factors.
Printed on museum-quality fine art print paper (200 gsm) with a textured, matte finish.