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31 trillion digits is mind blowing precision, so would it matter if it did repeat after that many digit places? Is there some other property of Pi that would make it repeating become significant? Does it really matter at this point whether it repeats or not?

31 trillion digits is mind blowing precision, so would it matter if it did repeat after that many digit places? Is there some other property of Pi that would make it repeating become significant? Does it really matter at this point whether it repeats or not?

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[–] • 4 pts

it doesn't repeat in other bases either

[–] • 4 pts

It does repeat in base (2/3 of pi):

1.1111111111....

[–] • 2 pts

Why not just use base pi (whatever that means), then it's just 1.

[–] • 2 pts

That's actually an interesting concept, using an irrational number for the base of a counting system. Off the top of my head, 1) it would prevent you from calculating numbers with infinite precision, 2) the inaccuracies would get worse as the numbers get higher (e.g. the estimate of pi8 is going to be off from pi2 sure to multiplying limited precision estimates by itself). I'd love to hear an actual math major's take on it.

[–] • 1 pt

I didn't want someone to tell me, technically, then it doesn't repeat. (Unless you consider 1.000000... repeating.)