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Supposedly it's the deepest zoom-in animation on record. It's computed on a machine with 12 CPUs for 6 months, in 2010.
The limit isn't the math, it's a limit on how many decimal places our computers can process. In the first level, it is showing integers from 0-99, with one integer represented by 1 pixel. Then it zooms in and shows integers 0-9, with each of those pixels representing 1/10 of an integer. The next level of zoom shows integers from 0-1, with each pixel representing 1/100 of an integer. This animation ends with each pixel representing 1/10^275 or a decimal with 275 zeros before reaching a 1.