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EDIT: I THINK I STAND CORRECTED
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A collection of some classic Lemmy memes for your enjoyment
You could also just divide your infinite stack of $1 bills into 100 infinite stacks of $1 bills. And, obviously, an infinite stack of $100 bills is equivalent to 100 infinite stacks of $1 bills.
(I know this is only slightly different than what you're getting at, which is that infinitely many stacks of 100 $1 bills is equivalent to an infinite stack of $100 bills)