In the picture all of the red segments are of equal length and all of their endpoints lie on one of the two blue lines. Determine all possible values for the smaller angle between the blue lines.

(This problem is a special case of a problem discovered by Daniel Shapiro, professor of mathematics at Ohio State University. His problem generalizes a problem he saw years ago.)

This is reminiscent of a Butterfly problem posted some months ago. 

Now, that problem was based in a circle, and maybe that circumstance had but 4 red lines.

Posted by brianjn on 2005-06-09 07:14:25