**mac** (12/15/82)

There's a nice exposition of the Banach-Tarski theorem in the March 79 _____________________________American Mathematical Monthly. It mentions a construction cutting a sphere into 5 pieces, and reassembling them into two spheres, each congruent to the first. This should not be taken to mean that "a billiard ball can be chopped into pieces which can then be put back together to form a life-size statue of Banach". One of the pieces above is a single point. Nonetheless, it shows what the Axiom of Choice can do in the right hands. They don't call it the Axiom "of Choice" for nothing.