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.) This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. Buy this applet What if applet does not run? If at each lighthouse the beams are equally spaced through 360o, 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.) Copyright © 1996-2008 Alexander Bogomolny                 ... to be continued ... Copyright © 1996-2008 Alexander Bogomolny

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