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 check by vectorboy)

Nikki and I both came out with the same result 0.613625, just a few significant places short of your result; so, yes, we get the same result.

Posted by brianjn on 2004-05-24 23:48:01