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so_subtly_strange
Toucan
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27 Jan 2012, 2:32 am

TallyMan wrote:
hyperlexian wrote:
i guess what i'm getting at, is that if pi is represented as a decimal it continues infinitely, so it cannot be accurately represented that way. pi to 10 digits, 100 digits, 100000000000000 digits is still an estimate because it has to be rounded to that decimal place.


Correct. Just like 1/3 cannot be accurately expressed as 0.333333... however many decimal places are shown.


well if we are getting into technicalities 1/3 would be different, as it is a rational number, and can be represented exactly as 1/3. there is no way to represent pi exactly, though as we've established there is no functional reason to go as far as we do with pi. it just seems like some sort of holy quest . . .



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27 Jan 2012, 8:43 am

so_subtly_strange wrote:
hyperlexian wrote:
moved from Random Discussion to Computers, Math, Science, and Technology


i have a question. when the digits of Pi are memorised, is a person just memorising one numerical representation of Pi? i always wondered about that - i think i remember hearing once that every representation we can make is just an estimate.


yes it would be a numerical representation. i cant really think of another way to represent it, other than the definition of what pi is. With rare exceptions i have only known of people memorizing pi represented in the decimal system (base ten positional notation). well i have only known of it being done in this way but any number can be represented in a different numeral system, so i'm sure there is someone out there who is memorizing it a different way.

it would be true that any representation would not be exactly pi, as it has been proven to be transcendental number. In any base in which it is represented the digits will continue infinitely, no rational pattern will at any point constitute any sort of end to its definition. But also keep in mind, in defining pi to these extents we are delving into an incomprehensibly infinitesimally small and shrinking ratio. There is really no practical application for knowing more than a few digits. Let us contemplate : 3.141 at this point every digit following is a fraction of .001; 3.141592 : .00059 could be considered significant, in that they could warrant the rounding of 3.141 to 3.142. but once you get to 3.141592, all digits following are just a portion of .000002. Of coarse as you continue down the digits become ten times less significant with each step.

heres some neat information i found on : http://www.math.com/tables/constants/pi.htm

Millions of digits have been calculated, with the record held (as of September 1999) by a supercomputer at the University of Tokyo that calculated 206,158,430,000 digits

Approximation of Pi
Archimedes calculated that Pi was between 3 10/71 and 3 1/7 (also written 223/71 < < 22/7 ). 22/7 is still a good approximation. 355/113 is a better one.

**********************

dont know if that record is still unbroken 13 years later. this is just the first hit i came across as to how many digits of pi are presently known. 200 billion should be plenty, lol.

thank you for explaining that!! !! my brain couldn't quite "get" it, but i think that now i understand.


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CrazyCatLord
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28 Jan 2012, 12:05 pm

3.14 has always worked well enough for me.



Hexagon
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28 Jan 2012, 8:57 pm

42 places. Because that is the number of digits needed to calculate the circumference of any circle in the observable universe to the accuracy of the diameter of a proton. I may bother to learn more, but any more digits is useless until the observable universe gets bigger.



DarcVidosa
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29 Jan 2012, 9:21 am

100.



marshall
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29 Jan 2012, 12:00 pm

Writing my own computer algorithm to compute the digits sounds more fun to me.



mittencat
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18 Jul 2014, 6:37 am

I found this old thread...

Ten years ago I was into memorizing digits of Pi. I read an article about a man who had memorized over 10 000 digits and wanted to try, how many I would be able to learn (I don't usually remember numbers well). I got somewhere around 600 digits, but then I lost interest. I deciced to test myself yesterday, and I could only remember 22 digits. I think I'll give the memorizing another try now, then years later, just for fun. I'll not probably even try to get to 600 digits this time.



DRzero
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26 Jul 2014, 12:47 pm

How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics. And if the lectures were boring or tiring, then any odd thinking was on quartic equations again,

(see http://mathworld.wolfram.com/PiWordplay.html)


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30 Jul 2014, 1:46 pm

I'm memorising pi in hexadecimal. I've got to 112 digits.



Humanaut
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30 Jul 2014, 1:57 pm

What's the world record?



unknownfactor
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30 Jul 2014, 2:33 pm

I memorized 100 digits. That was an artistic endeavor for me. Basically, I learned the Dominic system and Journey of Loci. Then I made up a story about characters doing different stuff along a path of a place I used to work at. It was a good way to build creative muscles.

Personally, it still bothers me that I don't yet know much about pi itself beyond it being the ratio of circumference to diameter. I imagine pi having to do with n-gons with each side being the same length. Then I imagine that for a perfect circle, that's got to be a huge number of sides. Then I realize that those sides have to each be tiny to the point of approaching near zero.

Then I just find myself feeling confused and realizing I know virtually nothing. Oddly enough, this sort of confusion makes me "happy". It reminds me that there's an interesting world out there. :)



Tim_Tex
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01 Aug 2014, 2:07 am

Apu: I can recite pi to 40,000 places. The last digit is 1.
Homer: Mmmm...pie.


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eric76
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02 Aug 2014, 12:08 am

hale_bopp wrote:
3.141592

Thats all I know it to off the top of my head.
That's one more digit than I know.



rapidroy
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03 Aug 2014, 10:57 pm

I don't see the point of knowing it past about 4 or 5 decimal places, in reality you can only be so precise in practice like when you take in consideration of the margin of error of machining equipment as an example. It is impressive that people can memorize it to so many decimal places though, I am just glad that if I found myself transported back to 1996/1st grade I could unlock my bike because I still remember the 5 digit code.



HCHCHC
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01 May 2016, 2:45 am

1000 decimal places, but I only did it for less than a day. Might do some more soon.



Simargl
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01 May 2016, 3:04 am

Daniel Tammet has memorized Pi to more than 22,500 digits.

I can't remember my phone number.