benlehman

To elaborate on the last post, here's what such a set looks like:

Picture a stack of boxes. Stack as many as you like.

Now, nail a plank to the top box so long it stretches down to touch the bottom box (and thus, naturally, touchs all the other boxes.) Nail a plank to the next box such that it, too stretches to the bottom. Etc, etc.

Picture it with ten or so and you see how you can stack as many boxes as you like this way.

yrs--
--Ben