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God of Sound

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Posted: Wed Mar 19, 2008 11:03 pm

I'm trying to figure out the patter in the repeating decimal of pie....I know it's insane, impossible, ....whatever....so far i've come up with quit a few instances in the first 1200 so digits, where you start at one number and the numbers going outward(kinda like a number line) are either the same(4321234....starting from 1....), flipped backwards(4321432), or the numbers on the out side are opposites of ten(starting from 8.....7938313...

if you see any more patterns...POST!

Posted: Wed Mar 19, 2008 11:10 pm

The most digits that ive found in those sequences is 9 including the number i started from, then theres like 1-7 , at most ,random numbers, then it goes into one of those sequences again...either or a repeating number....22....99999......and so on...

"The diameter and the square of half the diameter, when divided by seven and multiplied by 22, are the circumference and the area of the circle"

God of Sound

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Layra-chan
Crew

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Posted: Thu Mar 20, 2008 10:53 am

Eh...do you mean the decimal expansion of pi? Because it doesn't repeat.
Pi is irrational, which means that its decimal expansion doesn't loop through some finite sequence of digits.
In fact, you will find every finite sequence of digits somewhere in the expansion of pi. Every finite sequence of digits you can come up with, it's in there somewhere. For example, there is somewhere in pi that's just a string of one thousand 0s. Somewhere.

Posted: Thu Mar 20, 2008 10:39 pm

Well yes its irrational...thats the beauty of pie......theres a complete randomness to it.....if something is random all the time its not really random.
Im really trying to figure out how its able to just keep going, dividing, when i play it on the guitar it is all leading tones, always switching keys so it never actually has a beginning or an ending(no root note....which is hard to do even when you are playing randomly on purpose...get it on purpose....)its not random to e that random....not to me, so I just keep on looking at it.

If your asking, well why pie then why not some other.....well its pie... whee

God of Sound

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zz1000zz

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Posted: Sun Mar 23, 2008 2:58 am

Layra-chan

Eh...do you mean the decimal expansion of pi? Because it doesn't repeat.
Pi is irrational, which means that its decimal expansion doesn't loop through some finite sequence of digits.
In fact, you will find every finite sequence of digits somewhere in the expansion of pi. Every finite sequence of digits you can come up with, it's in there somewhere. For example, there is somewhere in pi that's just a string of one thousand 0s. Somewhere.

This is not true. Or to be precise, this is not known to be true. For every finite sequence of digits to appear in Pi, Pi would have to be a normal number. While it is possible Pi is a normal number, there is no proof.

For those who do not know the difference, a normal decimal number will have a makeup in which its sequence of digits is indistinguishable from a random sequence.

P.S. There is evidence which implies Pi is normal in base two, which is the most that is known.

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