You have an ink stamp that is so amazingly precise that, when inked and pressed down on the plane, it makes every circle whose radius is an irrational number (centered at the center of the stamp) black.

Is it possible to use the stamp three times and make every point in the plane black?

If it is possible, where would you center the three stamps?

(In reply to re(2): by Charlie)

Hey guys, are there any sites you can recommend that discuss irrational numbers? Everything Charlie said I've heard before, but my mind still boggles at the concept that, while there is a rational number between any two irrational numbers (and vice versa), there are still more irrationals than rationals!

Posted by Bryan on 2003-12-02 10:59:43