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How Many Digits of Pi are Useful?

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Tipping Point Math

Tipping Point Math

Күн бұрын

Trillions of digits of Pi have been calculated. Find out why this is useful.
Thanks to Grinnell College math students who enthusiastically pasted one million digits of Pi on a wall!
Twitter: @TPointMath
Images:
Meter stick: Chandra Marsono
Universe: European Southern Observatory
Watch: Michel Villeneuve
Watch 2: Guy Sie
Great circle: Nicholas Longo
Binoculars: Soldatnytt
Mt. Everest: Jonathan Keetly
Penguin: Dux Phoenix
Alvin: Taollan82
Supercomputer: ESO
Dice: Doug8888
Prime numbers: Chris
Pi digits collage 1: Mikl Roventine
Music:
"Pamgaea" Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0
creativecommons.org/licenses/b...

Пікірлер: 76
@samramdebest
@samramdebest 9 жыл бұрын
why is this video not 2 seconds longer? 3:14
@TippingPointMath
@TippingPointMath 9 жыл бұрын
samramdebest Wow, I wasted THAT opportunity ... Thanks for your support
@scikick
@scikick 9 жыл бұрын
This is a great channel with great potential. It just needs awesome videos like these more frequently.
@user-ws2wz8zj8v
@user-ws2wz8zj8v 8 жыл бұрын
At Greece we have a poem that help us memorize the 23 first digits of π Αεί ο Θεός ο μέγας γεωμετρεί, το κύκλου μήκος ίνα ορίση διαμέτρω παρήγαγεν αριθμόν απέραντον και όν, φεύ, ουδέποτε όλον θνητοί θα ευρώσι. Which roughly translates as Forever the mighty God does geometry to define the length of a circle by diameter He created an infinite number and unfortunately never whole (the number) the mortals will find. The numbers of every word in the poem is thw numbers of π Αεί = 3 ο = 1 Θεός = 4 ο = 1 Μέγας = 5 etc
@thephysicistcuber175
@thephysicistcuber175 8 жыл бұрын
I heard of one In Italian too, but for me it was useless, since I know 200 digits!
@kakonya2994
@kakonya2994 8 жыл бұрын
Lol that's neat wish I knew Greek haha
@christopherellis2663
@christopherellis2663 5 жыл бұрын
Stick to 22/7, it works for most things.
@TheBurningWarrior
@TheBurningWarrior 5 жыл бұрын
@@christopherellis2663 355/113 is the best rational approximation without absurdly long numbers.
@MindYourDecisions
@MindYourDecisions 9 жыл бұрын
Great video. I had no idea that's what a million digits looked like. How many pieces of pages were there in total?
@TippingPointMath
@TippingPointMath 9 жыл бұрын
167 sheets of paper!
@TippingPointMath
@TippingPointMath 7 жыл бұрын
6000 digits per sheet
@TheBhuvan002
@TheBhuvan002 9 жыл бұрын
Can you please increase the volume in your future videos. They are almost inaudible on a laptop with no headphones.
@TippingPointMath
@TippingPointMath 9 жыл бұрын
Fair comment. I'll keep improving the videos!
@jonathanfowler2932
@jonathanfowler2932 9 жыл бұрын
Cool. Interesting that pi could be linked to primes. Thought provoking as always.
@Billyblue98
@Billyblue98 8 жыл бұрын
What would I do with more digits of Pi? Eat it.
@LadyPelikan
@LadyPelikan 8 жыл бұрын
The music in the background (as for the Ramanujan video) makes this very difficult to hear and follow. It's really a pity for so interesting subjects!
@sufm7850
@sufm7850 9 жыл бұрын
Nice video !
@keithplayzstuff2424
@keithplayzstuff2424 6 жыл бұрын
I memorize Apery's Constant because it is there. I suggest you try picking a stupid constant and memorize a few digits, it's fun and it gives your life meaning.
@keniangervo8417
@keniangervo8417 9 жыл бұрын
Interesting video. Infinity is embedded in our Universe so deeply. It's there and we can see it's there but we can never understand it truly.
@buckybryner9034
@buckybryner9034 9 жыл бұрын
You may want to double check that frequency table for the first trillion digits, the units digit ends in a four when added up, and the frequency for 7 and 8 are identical!
@ThePreston159
@ThePreston159 8 жыл бұрын
2:27 That looks oddly like the layout of the continents to me...
@dylanberger3924
@dylanberger3924 6 жыл бұрын
Meh just north america and the green could be australia
@anawesomepet
@anawesomepet 3 жыл бұрын
You’re about 300 million years too early.
@ThePreston159
@ThePreston159 3 жыл бұрын
@@anawesomepet You're about 4 years late.
@Assassinstani
@Assassinstani 9 жыл бұрын
upload more videos
@thegreatdesignbook9558
@thegreatdesignbook9558 8 жыл бұрын
After reviewing your video, I think you may find this information on mathematically calculating the accurate value of geometric Pi interesting. The mathematical proof of the accurate value of Pi is: applying the equation, "inverse sin delta theta radians = Pi x theta degrees/6y" where: 1. delta theta is 1/12 of 2 x Pi radians; 2. theta degrees is 1/12 of 360 degrees = 30 degrees 3. and 'y' is 0.5. When the value of Pi = 3.141592654 is applied to this equation, inverse sin 0.523598778 = 3.141592654 x 30 degrees/(6 x 0.5) 31.57396133 degrees = 94.24777961 degrees/3 31.57396133 degrees = 31.415926654 degrees the left hand side of the equation is not equal to the right hand side. Now when Pi is three (3.0), note the answer: inverse sin 0.5 = 3.0 x 30/(6 x 0.5) 30 degrees = 90/3 30 degrees = 30 degrees the left hand side of the equation IS EQUAL to the right hand side. This demonstrates that Pi is 3.0. It is also interesting to note that above equation is precisely accurate at 1/12 of the circle at exactly 30 degrees. For further proofs of Pi = 3.0 through experiments, see www.thegreatdesignbook.com.
@cbranalli
@cbranalli 8 жыл бұрын
+The Great Design Book thanks for the free download. FIG 3A of your book (taking radius r = 1 cm) clearly shows Y = (1 cm)(sin 30 deg) = (1 cm)(0.5) = 0.5 cm and Yc = (1cm/radian)(PI/6 radian) = PI/6 cm when you equate/define Y == Yc you obtain 0.5 cm = PI/6 cm and derive PI = (0.5) (6) = 3 however what is your justification for setting Y equal to Yc ? FIG 3A clearly shows that they are NOT equal and in fact Y < Yc. you are clearly an intelligent person with knowledge of algebra geometry trigonometry physics history and scripture. i fail to see why you would equate Y and Yc when your scrupulously accurate FIG 3A clearly indicates they are NOT EQUAL !
@jessstuart7495
@jessstuart7495 6 жыл бұрын
For my purposes, pi might as well equal 355/113. All physical numbers have uncertainty. Your constants don't need to be very precise if you only know the other variables to 2 or 3 significant figures.
@jackwright2495
@jackwright2495 8 жыл бұрын
Why does anyone group the numbers by 5s when 3s correspond to the names of the numbers, namely thousands, millions, billions, etc?
@anima94
@anima94 8 жыл бұрын
up until this moment I never knew people group numbers by 5s sometimes, I always see it with 3s
@Felixjin
@Felixjin 9 жыл бұрын
Tau is the true circle ratio
@soupy4099
@soupy4099 9 жыл бұрын
the only two directly measurable things on a circle are it's diameter and it's circumference. what is the ratio between those two? pi. There are just as many formulas that use 2pi as there are that use pi.
@anthonyvanover5690
@anthonyvanover5690 9 жыл бұрын
I could just as easily say that η (π/2, τ/4) should be the true circle ratio. It's the ratio of arc length of a right angle sector to one of its legs (or a half circle to its diameter). It's much simpler to use this in trigonometry.
@jackwright2495
@jackwright2495 8 жыл бұрын
+Soupy *its
@jrace4179
@jrace4179 8 жыл бұрын
My guess before watching this video would have been 63 places as the current universe is approximately 10 to the power of 63 Planck lengths in diameter.
@Lucky6370
@Lucky6370 7 жыл бұрын
The thumbnail is wrong, it should say 4944 in the corner, not 4945
@thamiordragonheart8682
@thamiordragonheart8682 6 жыл бұрын
wouldn't the extra digits be useful for things like weather forecasting and other chaotic systems?
@WilcoVerhoef
@WilcoVerhoef 2 жыл бұрын
Nope. The uncertainty in weather forecasting comes from the fact that we cannot measure the current conditions precise enough, and that slight deviations might result in vastly different outcomes (a.k.a. the weather is chaotic).
@jacobcairns2194
@jacobcairns2194 7 жыл бұрын
There are exactly the same number of 7s and 8s in the first trillion digits
@thedeadliestrobloxia
@thedeadliestrobloxia 7 жыл бұрын
I would wrap all those digits of pie into 1 big circle, cut a slice of those digits off, and eat them like a pie!
@blue_ouija
@blue_ouija 6 жыл бұрын
Reason 6: To test Simulation Theory.
@ivanxdxd
@ivanxdxd 9 жыл бұрын
*Tipping fedora*
@alih5850
@alih5850 7 жыл бұрын
heres what i know about pi 3.141592653589793238462643383279502884197169 42 decimal places of pi
@MrRandomcommentguy
@MrRandomcommentguy 7 жыл бұрын
surely each digit appears an infinite amount of times in pi?
@commentator3513
@commentator3513 7 жыл бұрын
yes
@Nosirt
@Nosirt 9 жыл бұрын
hail pie!!!!!!!!
@whatelseison8970
@whatelseison8970 7 жыл бұрын
I like to have my digits in a lot of pi's.
@philv2529
@philv2529 8 жыл бұрын
please record future videos louder. I have my volume at max and can barely hear you.
@a00954926
@a00954926 8 жыл бұрын
Because as long as PI is non recurring and infinite, then we can prove that we are not in a simulation. As a simulation would require an infinite amount of memory to store an infinite non recurring number like Pi
@DoubleBob
@DoubleBob 8 жыл бұрын
Citation needed.
@GarethField
@GarethField 9 жыл бұрын
Fun to watch! I must apologize, my outrage (lol) cannot be contained: science not-equal mechanical contraptions! EurrrghthnnnnnnnERROR404, lolol
@game2ndplaythroughs23
@game2ndplaythroughs23 8 жыл бұрын
No! We will not rest until we know the infinite-th digit of Pi... we need to know... we must know
@14ercooper
@14ercooper 7 жыл бұрын
What would I do with that many digits of pi? I have 100 billion digits on a flash drive and use it to brag about useless things.
@christopherellis2663
@christopherellis2663 6 жыл бұрын
22/7 is accurate within a hundredth part. Astronomical calculations might require more. 223/71 will do nicely By the way, 10^6 is not "one trillion"
@TheBurningWarrior
@TheBurningWarrior 5 жыл бұрын
If you're already using three digits why not get the additional accuracy of 355/113 at no additional cost?
@a.f.nik.4210
@a.f.nik.4210 8 жыл бұрын
Eat them. That's what i would do with many digits of PIE.
@livedandletdie
@livedandletdie 8 жыл бұрын
How come Tau isn't used instead, it's a lot more intuitive than Pi and not as useless.
@rmeows5087
@rmeows5087 2 жыл бұрын
Looks like the 101 digits I memorized are useless
@beefstu20077
@beefstu20077 9 жыл бұрын
Because Pi is infinite and not repeating, we know we do not live in a computer simulation. If we were in a computer simulation, said simulation would need to have an end to pi. So we don't live in the matrix.... yea.
@smilecorpers3120
@smilecorpers3120 9 жыл бұрын
That or the computer is simply way better than our computers (which it would have to be) and we just haven't found the end yet, and that can never be disproved that there isn't an end a couple hundred digits away...
@MystyrNile
@MystyrNile 9 жыл бұрын
I don't know how it works, but it actually can and has been proven that pi has infinite digits. You can probably look it up if it interests you.
@TippingPointMath
@TippingPointMath 9 жыл бұрын
***** In 1761, Lambert proved that Pi is irrational, so Pi indisputably has infinitely many digits.
@ishwar8119
@ishwar8119 8 жыл бұрын
There IS a proof!LAMBERT? WHERE ARE YOU? Sorry, but he would've shown you the proof if it was 1761...
@dylanberger3924
@dylanberger3924 6 жыл бұрын
There are many youtube videos showing various proofs of pi being irrational
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