*Post by Peter*Greetings from Holland!

My new puzzle is inspired by a pencil rolling over my desk. It seems

not to be too difficult, thereforeI would be delighted to receive an

email with your solution.

Have fun with the puzzle (to be found at

www.planet.nl/~p.j.hendriks/ppvdw.htm ) !!!

Peter

You're asking how far one vertex of the hexagonal cross section of your

pencil travels when the pencil makes one complete revolution while rolling

across the desk. I defined six arcs from one vertex of the hexagon to the

next until the given vertex returned to its original position relative to

the others. In the diagram on your website, "A" would go through each of the

six possible positions and return to its original position as the left-hand

terminus of the bottom side.

For an arbitrary side of length s, I get:

( PI * s * ( 4 + (3 ^ .5))) / 3

When s = 0.5 cm, as in your example, this would be 3.001 cm.

Am I at least close to the correct answer?

Paul