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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?

(post is archived)

[–] [deleted] 9 pts

"Repeating itself" doesn't mean anything. It could repeat X sequence of digits once, twice, a billion, or infinite times, and that does not make the equation rational, which is the fundamental issue with pi, i.e. not being able to "Square The Circle".

[–] 1 pt

Any repeating decimal can be expressed as a fraction though so that does make it rational.

[–] 0 pt (edited )

I once had a book with the first 1 million digits. That was quite an achievement at the time. I wonder where that book could have gone...

[–] 8 pts

This simulation will reboot.

[–] 1 pt

Hmm, so you're saying it will reboot...again?

[–] 1 pt

Affirmative

[–] 10 pts

“There is a theory which states that if ever anyone discovers exactly what the Universe is for and why it is here, it will instantly disappear and be replaced by something even more bizarre and inexplicable.

There is another theory which states that this has already happened.”

― Douglas Adams,

Oh no, not again - a large bowl of petunias

[–] 0 pt

Most of us will probably experience what took out Atlantis approximately 12,000 years ago. A pole shift/micronova is on the horizon.

[–] 3 pts

We can finally calculate a circumference with absolute precision.

[–] 2 pts

Even the circumference of your mom!

[–] 0 pt

Only if we are talking non-euclidian geometry.

[–] 2 pts

We'd go, "OK, it repeats. Neat." And that would be it.

[–] 1 pt

That's what I figured would happen. It would make some minor news story then become a footnote in mathematics history.

[–] 1 pt (edited )

why are we so full of ourselves as to think that the base number of the universe is 10?

[–] 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.

[–] 1 pt

It will never repeat. First, here is a proof that pi is irrational, which means it cannot be expressed as a fraction: https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational

Now take any number, 134 for instance. Divide it by the number of digits in 9's. So in this case it would be 134/999 That will yield a result of 0.134134134...(repeating). Therefore, if pi were to repeat, it could be expressed as a fraction in this manner. Since we know from above that pi is irrational, it cannot be expressed as a fraction. So pi cannot ever repeat.

It probably won't repeat. You'll just buffer overflow into the memory space of the next universe.

[–] 1 pt

Pi is a circle. There isn’t any end to a circle, so that proves that math is correct. It’s just weird when you see it on paper!

[–] 1 pt

How is pi a circle?

[–] 0 pt

I like pi, and I absolutely love the imperial system of measure. The metric system lacks depth and is hollow. Like European “football” it’s awful. Anything that can’t be divided by three sucks. Real craftsman design and build in 1/8ths or 1/16ths of an inch. I buy wood by the yard. If it’s not in feet it’s gay.

[–] 0 pt

Base 12 is better. Or 60, which the Egyptians used.

Factors of 10: 2, 5 Factors of 12: 2, 3, 4, 6 Factors of 60: 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

[–] 0 pt

I agree. The human mind can divide something by two much more easily than any other fraction. So 1/2, 1/4, etc. is much easier to eyeball. Now try to determine 3/10th of something. It's extremely difficult.

There's nothing truly special about Pi, when it comes down to it. It's an observation that we've made useful, but I'm not aware of any use cases that would benefit from that many digits, and finding a pattern in there is going to be certain.

If you mean where the last digit pattern repeats infinitely, that sort of just confirms that Pi is a useful but imperfect approximation.

[–] 0 pt

If it was actually repeating then it would be rational.

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