Multiple intersections of diagonals of regular polygons, and related topics

Research paper by J. F. Rigby

Indexed on: 01 Jun '80Published on: 01 Jun '80Published in: Geometriae Dedicata


Our main concern is to investigate geometrically all sets of three concurrent chords of regular polygons or, equivalently, all adventitious quadrangles (that is, all quadrangles such that the angle between every pair of the six sides is an integral multiple of π/n radians). Most of our results are stated without proof. The proofs are elementary, often consisting of straightforward verification; to include them would make the paper much longer and less readable.