Here is a good shape problem I heard about recently:

There are 3 buns with sprinkles on the top that 4 people want to share. The buns have a radius of 3 inches, 4 inches and 5 inches, and although the people know where the center of each bun is, they don't know anything else about the buns, and all they have is a knife to divide the buns.

What is the fewest number of pieces required to let each person have the same area of bun? (Note that each cut must be from top to bottom; horizontal cuts would result in uneven sprinkle distribution. The cuts don't need to be straight.)

(In reply to Three cuts by Papa7Matt)

lol - I don't know why I complicated it.

Still 3 cuts, and 6 pieces, but easier than what I suggested earlier.

Posted by ThoughtProvoker on 2004-05-07 18:06:20