Three pentagram-shaped stars (the stars formed from the diagonals of a regular pentagon) are stacked up so that the bottom two ends of the tips touch the middle ends of the tips of the star below. (See diagram.)

The distance from the top of the stack to the floor (where the bottom star's "feet" rest) is 4 feet.

What is the distance between the bottom two ends of the tips of the stack that touch the floor?

(In reply to Reolution ? Please? by brianjn)

A construction in Geometer's Sketchpad confirms the .61363 value obtained by nikki and others.  I must have made a mistake somewhere along the way.

Posted by Charlie on 2007-05-20 18:11:24