Of course, that requires a perfectly elastic ball and no loss of energy due to heat, right?

No, the point is that in the process of calculating the distance a ball has traveled vertically by taking the sum of the height of the bounces, as long as it bounces by a fraction of its previous height, it will never stop bouncing. I presume bouncy balls stop bouncing because of extra factors, but in the case of theoretical mathematics for the sake of diminishing geometric sequence sums, the bouncy balls keep on bouncing as if the ""Aura of Chaos" stance + a shuriken (1d2-damage weapon) + the "Imbued Healing" feat" infinite damage trick forced you to keep rolling damage dice.

addendum: -8 GMT, 01-02-2010, 01:45, example 2: halve a piece of cheese, then again, indefinitely. There'll always be cheese there (screw atoms). Hey, I made an internal reference (while making a simultanous external reference)

addendum 2: -8 GMT, 01-02-2010, 01:47, I'm the man.

Reference(s):

Bill Nye - that episode about molecules and atoms