### Lighthouse Curves

A bunch of straight lines rotates around two points in a plane with constant angular velocities. (An apt metaphore of two lighthouses was invented by R. K. Guy of the University of Calgary.)

What if applet does not run? |

If at each lighthouse the beams are equally spaced through 360°, the pairwise intersections of the beams form regular polygons: regular triangles for three beams, squares for four beams, etc. (This is known as the *Lighthouse Theorem*.)

|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny

... to be continued ...

|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny

69238554