On: File system that stores location of file in Pi

[jdmichal]

Let's say you wanted to encode a single decimal digit using this PI method. So, to start, you list out PI until you get all the possible decimal digits:

    03 14159 26535 897
    01 23456 78901 234

There, that's all of them. I cheated a bit and put a zero in the front, as the first zero in the expansion is another 10 digits or so away. So now, we can represent any decimal digit by indexing into PI!

    0 - 0
    1 - 2
    2 - 7
    3 - 1
    4 - 3
    5 - 5
    6 - 8
    7 - 14
    8 - 12
    9 - 6

So, what did we accomplish? Well, zero stays the same. We successfully renamed 1-6 and 9 to be new numbers. And now 7 and 8 take two decimal digits.

Now, extrapolate this out to every possible 100GB file, and the binary representation of PI.