The biggest hand calculation in a century! [Pi Day 2024]

Рет қаралды 415,527

2 ай бұрын

Please note down the new value of pi: 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223176
If you'd like to sign up to hear about future ridiculous maths projects that require volunteers: forms.gle/w44THpNJ3jWUPqHy6
Play list of all my previous calculating pi day videos: • Matt calculates π
This calculation was paid-for with surplus funding from a previous Stand-up Maths kick-starter. If you'd like to support future projects, you can join me on Patreon. My Patreon supporters keep me irrational. / standupmaths
Huge thanks to the Pi-by-hand Committee who spent two years working on this project:
Alex Genn-Bash
Ayliean McDonald - / @ayliean
Ben Sparks - / @sparksmaths
Christian Perfect
Deanna Judd
James Grime - / @singingbanana
Katie Steckles - / @katiesteckles
Matthew Scroggs - / @chalkdustmag
Max Hughes
Nicole Jacobus
Sophie Maclean - bit.ly/Sophie_Numberphile
Thanks to Steve Mould for making sure everything was legit, and only mentioning tau six or so times.
William Shanks was voiced by the excellent Ben Moor: www.spesh.com/ben/
The amazing voice over was provided by the fantastic Gemma Arrowsmith: www.gemmaarrowsmith.com/
CORRECTIONS
- None yet, let me know if you spot anything (other than the final 6).
- Yes, this video was released the day before Pi Day. It's so teachers have a chance to watch it and prepare their Pi Day lessons for the big day.
Filming and editing by Alex Genn-Bash
Animations by William Marler
Written and 'performed' by Matt Parker
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
NEW BOOK: mathsgear.co.uk/products/love...

Пікірлер: 1 800

@WokeUpScreaming Ай бұрын

"Long division, not wrong division" spoken like a true line manager

@skarrambo1 Ай бұрын

So much so that I can hear Rhys Darby saying it

@pleasedontwatchthese9593 Ай бұрын

"We are dividing but we are not deviated" -matt later on in the video

@darrenhundt Ай бұрын

@@skarrambo1 ...not swearwolves

@JPBelanger Ай бұрын

I was actually thinking it would be a good exercise for IT middle managers to do so they get to understand IT and its dependencies. The skill set is not that broad. They could do it.

@sohambasak6382 7 күн бұрын

Meanwhile Japanese folks be like "long division, rong division" same thing!

@daywidd Ай бұрын

posted at 3:14pm GMT, well played Matt

@berend_dijk Ай бұрын

15 seconds after 3:14 pm I presume? 🤔

@swankgd Ай бұрын

If only he'd (or presumably his editor'd) managed to edit 5:07 off the run time.

@adroitbean5440 Ай бұрын

And 926 milliseconds of course @berend_dijk

@incription Ай бұрын

I noticed that!

@jonathan-._.- Ай бұрын

but one day before 03.14 😣

@Kahedro Ай бұрын

"we cant cheer for every digit" proceeds to cheer for every subsequent digit

@gollossalkitty Ай бұрын

Until the last one

@perivesta Ай бұрын

23:24 The madlads built a branch predictor into their human GPU.

@kala_asi Ай бұрын

underrated comment!

@liliwheeler2204 Ай бұрын

Absolutely underrated-I think this is one of my top 20 or so sentences ever said in the English language

@MIKAEL212345 Ай бұрын

This is actually incredible. If they do this again, I wonder if they could get a cpu architecture engineer to help design the system.

@Ceelvain Ай бұрын

@@MIKAEL212345 unfortunately the huge error rate and the time scales involved are incomparable with semiconductors. My guess would be that we'd have to have an architecture very very different from a processor. But I like the overall idea of engineering a better process with those constraints in mind.

@vigilantcosmicpenguin8721 Ай бұрын

The insane thing is that it just, like, evolved naturally. This is divergent evolution.

@Jake9066 Ай бұрын

"Ridiculous Maths Person" is the greatest complement I can recall ever hearing for an introduction.

@richardfarrer5616 Ай бұрын

But what is the complement of a Ridiculous Maths Person?

@Jake9066 Ай бұрын

@@richardfarrer5616 touché, foiled by misspellings again And I'm going to say solar physicist is the complement to ridiculous maths person

@WombatMan64 Ай бұрын

That had me laughing so hard, I had to pause the video and recuperate.

@222dolson Ай бұрын

A physics professor and solar physicist of course

@LucenProject Ай бұрын

Quality delivery throughout. Is the narrator credited?

@Max-px3wx Ай бұрын

8:22 "Chunks of 20." 8:30 "60 - 100" Ah, the Parker Chunk.

@c4ashley Ай бұрын

😂👏

@ShaneTilton Ай бұрын

I was going to note that as well. However, they did correct it at 9:06

@bighammer3464 Ай бұрын

Well seeing as the previous range was 60-80 it was still a range of 20

@k0pstl939 Ай бұрын

Also wouldnt a chunk of 20 be 0-19, 20-39, etc.? (Or 1-20, 21-40, etc.)

@bighammer3464 Ай бұрын

@@k0pstl939that’s true. I wonder what would be digit 0. If that’s 3 then that can be omitted and the range would be 1-20,21-40etc

@Roeming Ай бұрын

I noticed that at 3:14 , the names of the 7 arc tans are each 1 of 7 of their own group of 7; day of the week, samurai, continent, sin, ocean, pyramid(edit: wonder not pyramid), and dwarf!

@11macedonian Ай бұрын

I love that that occurred at pi minutes into the video too.

@Sgrunterundt Ай бұрын

Ancient wonder, not pyramid.

@purple_sky Ай бұрын

The great pyramid of Giza is one of the 7 wonders of the world!

@kindlin Ай бұрын

I thought the names were so random, obviously that wasn't the case. Thanks for filling me in on this!

@msx80 Ай бұрын

That's so clever, lol! Thanks for pointing it out

@martinshoosterman Ай бұрын

Something that should be noted about why we were so surprised by the last few digits, the 2 numbers, each 140 digits long that were subtracted to give us pi, were found by adding 7 different 140 digit long numbers each. when adding 7 numbers together you can get carry over that goes several digits over. So to know what a digit is, it isn't enough to calculate that many digits, you need to calculate several more digits to be able to get the carry over as well. the last 5 digits all could have been wrong without us making any mistakes what so ever. the 5th and 4th digit from the end were probably correct if we hadn't made a mistake. the 3rd digit from the end was somewhat lucky that it was correct. and the 2nd to last digit was actually 100% a coincidence. That's why we were so excited when it was correct.

@michaelbauers8800 Ай бұрын

Very helpful. I should have known this stuff, but I didn't quite understand my class on numerical analysis, or whatever it was called. All I remember was ULPs, heh. I was aware of IEEE double precision guard digits, which serve a similar purpose perhaps.

@kindlin Ай бұрын

@@michaelbauers8800 It all relates back to the very concept that it is even _possible_ to split up the digits in a calculation like this. Each individual digit only depends on so many of the factors in that long arctan expression, so you only need those nearby factors to get at each specific digit, and they just run the whole scheme in 20 digit increments to optimize for the human ability to work through long division while not getting bogged down in too many digits at once. At the end, you necessarily start losing those last factors that you just haven't calculated to ensure those specific digits, so at any point, if one of those uncalculated factors affects the digit you're investigating, each subsequent digit would likely also be wrong.

@michaelbauers8800 Ай бұрын

@@kindlin Yes, that makes a lot of sense. I was not thinking very clearly about the specifics earlier. There's worse case scenarios for PI, such as those glacially converging series. Like the Leibniz series

@rmsgrey Ай бұрын

A) When adding two numbers, you can get a thousand digit carry or more - write down a thousand nines and then add one to that number, and that one will carry through a thousand digits. B) What matters is the range of the potential error. Adding seven numbers with the same precision gives an error from zero to seven in the last digit, and subtracting off another seven numbers makes the error between negative seven and seven. For a calculated value ending 176, that means if your only errors come from truncating the fourteen numbers, the true value would have to be in the range 169 to 183, so the penultimate digit would have a decent chance of being correct (5/7 or ~71%) while the last digit is basically random. C) Of course, if there was additional uncertainty in the fourteen numbers beyond their having been truncated, that would automatically create corresponding uncertainty in the final result, but isn't explained above.

@martinshoosterman Ай бұрын

@@rmsgrey theoretically yes, practically no. an n digit carry is only possible with a series of 9s, which is exponentially unlikely (proportionate to 10^-n). It's also something we would have known about since one of the sums would have resulted in trailing 9s. If your result isn't trailing 9s, then you know that you can't have an arbitrarily large carry over error. So practically, no.

@ShaneTilton Ай бұрын

0:48 "I don't think we are going to do this..." 0:52 "We're going to do this.." Give your editor a raise for that cut.

@irtur52 Ай бұрын

I think Matt mastered the art of thinking in multiple timelines at once at this point.

@SgtSupaman Ай бұрын

Yeah, but then the editor needs a pay cut for the terrible audio levelling throughout the video, so it'll cancel out.

@ianmoore5502 Ай бұрын

@SgtSupaman they'll get it. If you know anything about it, you know it takes time and repetition to get good at. I'm grateful for their work regardless and can't wait to hear them improve

@kindlin Ай бұрын

There were some more of these too, like at the end of day 3: "I love watching this human machine going to smoothly" *jump cut to DAY 4* _All hell is breaking loose and new jobs are springing up by the hour._

@ShaneTilton Ай бұрын

@@kindlin I was going to mention that too

@jmalmsten Ай бұрын

You know you're in the right show when the crowd goes crazy over a string of digits.

@ailaG Ай бұрын

Like sportsball fans? 😁

@vigilantcosmicpenguin8721 Ай бұрын

You'd think it was the lottery announcement.

@caioometto8198 Ай бұрын

I literally got goosebumps with the crowd hahaha

@PeterJnicol Ай бұрын

@@ailaGI love sportsball! (cue relevant xkcd).

@amigalemming Ай бұрын

It's a great thing to work with normal people for six days.

@delwoodbarker Ай бұрын

A hundred years ago, we would call these people computers.

@likebot. Ай бұрын

yup, it was a job description, even well into the 20th century

@s3cr3tpassword Ай бұрын

There were human computers all the way to the 1960s….

@TheAliencreeper13 Ай бұрын

Technically speaking, they still are computers

@fredrickcampbell8198 Ай бұрын

How did the early computers do calculations?

@AaronOfMpls Ай бұрын

@@fredrickcampbell8198 Pencil and paper, adding machines, log tables... 🙃

@asgertrierkjr133 Ай бұрын

To me what is amazing is how closely you emulate a modern bureaucracy. You have created a controlled experiment in administrative science that most researchers could only dream of. It's even realistic in that some agencies have linear tasks that administratively resemble calculating pi. I wonder if you thought about creating incentive structures.

@alexpotts6520 Ай бұрын

Being part of something unique and crazy and where everyone there has a shared passion is kind of its own incentive tbh.

@asgertrierkjr133 Ай бұрын

@@alexpotts6520 true! In public administration it is called public service motivation. There seems to be a lot of that here--but they also manage to cultivate it among themselves (e.g. the presentation of the results).

@kindlin Ай бұрын

@@alexpotts6520 True, but imagine if there were _actual_ incentives, as well? Get 10c for each (total) digit, each day you're there. Calculate a lot of digits and be their most days and maybe get 100$ or something the time around. That is probably too much, but maybe it's X dollar gift cards, which could conceivably be sponsored by the gift card providers themselves (as gift cards are amazing marketing).

@mana24 Ай бұрын

This is an excellent demonstration of how productivity doesn't scale linearly with manpower. The final digit countdown was incredible. What a lovely event

@asandax6 Ай бұрын

The good old Vertical scaling vs Horizontal scaling conundrum.

@Vodboi Ай бұрын

Also the importance of multithreading

@michaelbauers8800 Ай бұрын

Software engineers like me, usually understand this. Overhead is a real problem. This was great!

@tsawy6 Ай бұрын

Notably 7 days of 200 is only 1400 people-days, or about 4 people-years. Cuz long division is O(n^2), 139 digits is about 4/49s of the way to 700. Which seems almost reasonable based on the whole few decades thing Shanks had. Course the few decades thing is between publications, he published 530 digits, then went back a couple times over a few decades. I have no idea how long the first 530 took (and can't find anyone who does!)

@vigilantcosmicpenguin8721 Ай бұрын

This isn't a video about maths, it's a video about management.

@victorwindahl4903 Ай бұрын

"...most of the people on it were unhappy for pretty much of the time. Many solutions were suggested for this problem, but most of these were largely concerned with the movements of small green pieces of paper, which is odd because on the whole it wasn't the small green pieces of paper that were unhappy."

@evanbasnaw Ай бұрын

Nice Douglass Adams reference there.

@EcceJack Ай бұрын

That came to my mind, as well!! :D

@gollossalkitty Ай бұрын

What

@victorwindahl4903 Ай бұрын

@@gollossalkittyfrom The Hitchhikers Guide to Galaxy.

@richardfarrer5616 Ай бұрын

But doesn't that mean pi = 42?

@naota3k Ай бұрын

For anyone curious, the 140th digit of Pi is "2".

@ronraisch2073 Ай бұрын

Thank you for that comment

@johngamble5270 Ай бұрын

Spoilers!

@christineng9527 Ай бұрын

3.14159...282725352848111 is all I remember (the 7 is the 139th digit)

@adamplace1414 Ай бұрын

Matt reading off the result at the end might be my favorite "oner" ever. A single camera shot of a guy reading some numbers for five minutes was far more enjoyable and emotional than anyone could predict. Thanks to the podcast I've been looking forward to this for months, but it exceeded every expectation. I'm also terrified of what the next attempt in two years' time will look like. "Seventeen thousand people spent a month and three million Post-It notes to calculate pi!"

@vigilantcosmicpenguin8721 Ай бұрын

Wait, that was seriously five minutes? Feels like simultaneously six seconds and an entire movie.

@gregorythomas4878 Ай бұрын

35:25 'I came here for pi, and all I got was sandwiches'

@red-.-red Ай бұрын

Legend

@username_not_found6926 Ай бұрын

underrated quote

@julienroy3355 Ай бұрын

To be fair, one of the participants baked and brought a pi but it wasn't big enough for everyone to get a slice. I didn't 😢

@joeyverliesharen Ай бұрын

Those students at the end were fantastic. I especially like the guy who rated the event a 3.1415 out of 5.

@8o86 Ай бұрын

@@julienroy3355one of the participants was baked, and i suspect it was the dude with the sandwiches

@Neefew Ай бұрын

I like how Matt's name badge has a pi symbol instead of the two T's

@SkillTimO Ай бұрын

I'm here for this.

@Giguv05 Ай бұрын

Mapi :з

@yonatanbeer3475 Ай бұрын

Map

@Darilon12 Ай бұрын

Short for (Rediculous) Ma(ths) Pi(rson)

@zutaca2825 Ай бұрын

Pronounced, of course, as Map Parker

@jonwallace6204 Ай бұрын

Every year I look forwards to Matt getting pi wrong. Nice to see you guys actually nail it, well done.

@uNiels_Heart Ай бұрын

Actually, I wouldn't mind them getting it wrong. Matt would always turn it into a fun experience 😎

@DeathClawz Ай бұрын

Technically they'll always get it wrong every year. They could get 1000 digits and still be wrong :)

@vigilantcosmicpenguin8721 Ай бұрын

Nail it? They're only 0 percent of the way there!

@erlandodk Ай бұрын

He did get it wrong again. Just way less wrong than previous tries. 😀But it looks like everyone had fun doing it.

@uNiels_Heart Ай бұрын

@@erlandodk goes just to show that they weren't dividing hard enough 😆

@DragoniteSpam Ай бұрын

Alternate title: "Matt builds a human GPU (again)"

@MrNikolidas Ай бұрын

*CPU

@pleasedontwatchthese9593 Ай бұрын

@@MrNikolidas *APU

@HamStar_ Ай бұрын

no GPU was right

@MrNikolidas Ай бұрын

@@HamStar_In that analogy, at a stretch Matt himself is the GPU. He built a CPU that gave him the data necessary to display it on the paper.

@HamStar_ Ай бұрын

@@MrNikolidasGPUs are excellent at massively parallel computation. The main thing they do is run small, similar, independent calculations in parallel, similar to what the human calculators are doing.

@RobbyRatPoison Ай бұрын

Classic "off by 1" error Edit: referring to the video being uploaded the day before Pi Day

@ELYESSS Ай бұрын

they are missing the carry so probably not off by just one.

@Imthefake Ай бұрын

off by 1/10^140

@quehablo Ай бұрын

He posts a day early so teachers can use the video on pi day if they would like!

@risesir Ай бұрын

@@quehabloWell, you’re not wrong. 😂

@musickid43 Ай бұрын

Classic Parker's calculation

@IanZainea1990 Ай бұрын

22:45 "They're dividING, but they're not divided." Beautiful Matt, just beautiful haha.

@iswm Ай бұрын

diversity... er.. division is our strength!

@BurningShipFractal Ай бұрын

22:40

@oisyn- Ай бұрын

This really was Deus Ex: Mankind Dividing.

@BrianSpurrier Ай бұрын

United we Divide, Divided we Fall

@v6243_____ Ай бұрын

It's nice for the pi day videos to release on March 13 so that teachers have it available to show their students on pi day!

@JEilonwyn Ай бұрын

Unless they live REALLY close to the international dateline😅

@joelcooper6441 Ай бұрын

one of the volunteers here, such a great time, i didn't do much calculating but i was there as archiving went from a box to a desk, to a desk in the corner to desk in the corner with people with clipboards, i was on that desk for a time, crazy complicated as things changed around us all, somehow it came together in the end. I really enjoyed my time here and I'd also like to say, now that i have met the man, that Matt Parker is legend!

@TheDrewjustforyou Ай бұрын

Was there a bad bit filtered section? If you returned more than x incorrect digits you were assigned a different station?

@joelcooper6441 Ай бұрын

@@TheDrewjustforyou no, the day was more informal than that, At the beginning, one of the council of pi would say 'we need people to do x', i (and a few others) volunteered for those things which were logistical in nature like archive team or copying or doing the mod check

@thedepthandbreadthofseth Ай бұрын

I wouldn't be worried about Steve multiplying things by 2. I'd be worried that he would cut things in half and cover them with clear acrylic! 😂❤❤

@DukeBG Ай бұрын

Ah, years ago you would be worried he'd pour it out of a beaker.

@thedepthandbreadthofseth Ай бұрын

@@DukeBG why not both?!

@lasagnahog7695 Ай бұрын

And incrementally shaving people's facial hair throughout the day

@lolilollolilol7773 Ай бұрын

I wonder if there is a way to perform fast divisions with water or some clever machinery.

@christopherpepin6059 Ай бұрын

@lolilollolilol7773 There is and it is quite easy. Fill a bucket with the required amount of water, X. Pour it into a trough. Then insert dividers evenly spaced to create Y divisions. The amount of water in each bucket is X/Y

@tielessin Ай бұрын

We can't let these darn number enthusiast get away with another one of these projects of pure silliness! We've been working so hard in education to create a system that gets that disgusting joy out of those kids as early as possible and now this guy comes and keeps ruining everything. Won't somebody please think of the children?

@petergerdes1094 Ай бұрын

I've got nothing against this kind of silliness -- I'm totally here for it -- but it's a shame when educators think this is the way to make math interesting as if what us mathematicians do is sit around doing long calculations.

@mana3109 Ай бұрын

@@petergerdes1094 If a kid saw this and saw all the people having fun, they may ask why they're doing it in the first place. That line of questioning could lead down a road of "what even is pi?", "why does that formula produce pi?", etc. And that's how a kid could maybe get sucked into the beauty of math

@petergerdes1094 Ай бұрын

@@mana3109 They could...it could also convince them it's nothing but more stupid calculation which is the primary reason they hate math and don't get anything out of it. It mostly depends on their teacher, if they have a good teacher who actually understands what's going on and is incentivized to convey math as being something with interesting questions and creativity of course they can use something like this but they could also use a 1000 other more common things too. It's the teacher who understands why math is interesting and fun that's the commodity in short supply. Unfortunately, even though most teachers are well meaning they were usually only taught math as a matter of rote calculation as well and when that's true I agree this kind of thing is better than nothing but it doesn't replace actually conveying that math is so much more. Not to mention the incentivizes in the classroom encourage them not to do that.

@stnylan Ай бұрын

Hacker: "Education in this country is a disaster. We're supposed to be preparing children for a working life. Three quarters of the time they're bored stiff." Sir Humphrey: "Well I should have thought being bored stiff for three-quarters of the time was an excellent preparation for a working life" (Yes Prime Minister)

@justinwatson1510 Ай бұрын

The problem is that our education system wasn't designed to actually educate children, it was created to take the children of working class people and turn them into compliant but effective cogs for our corporate overlords. If you want a better education system, we need to get rid of capitalism.

@johnchessant3012 Ай бұрын

I feel like a curse has finally been lifted this year. Here's all of Matt's previous pi calculation attempts: 2013: 3.13834 2015 (part 1): 3.1512 2015 (part 2): 3.128 2016: 3.0418399789... 2017: 3.0523384783... 2018: 3.1415927 2019: 3.11791 2020: 3.1415916785... 2021: 3.875 2022: 3.14159265358868298... 2023: 3.11712 2024: 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223176

@dominicpancella3012 Ай бұрын

He's approaching the answer, but it doesn't look like he's doing so mathematically (e.g., in the manner of a Taylor sequence)-the oscillations are pretty random.

@liliwheeler2204 Ай бұрын

Something about phrases like "this is the times table for Pacific squared" and "I just finished dividing by Doc squared" just absolutely tickles me

@michaelbauers8800 Ай бұрын

I actually misunderstood what was said, thanks for clarifying that.

@liz4v Ай бұрын

How did they pick these names? There's no theme!

@alexpotts6520 Ай бұрын

@@liz4v As noted elsewhere, the theme is "things that are part of a group of seven."

@liz4v Ай бұрын

@@alexpotts6520 thanks! Any idea what Doc refers to? And is Giza about the pyramids?

@alexpotts6520 Ай бұрын

@@liz4v Doc is one of the seven dwarfs.

@LSA30 Ай бұрын

*The ghost of William Shanks* : Is everyone having fun and a good time? *Matt* : You know, I think everyone is! *Shanks* : Well, then they're not dividing hard enough! 🤣

@Brekekekiwi Ай бұрын

This is my favourite bit so far!

@BillySugger1965 Ай бұрын

That’s outstanding! Last time you had a great open-loop process but no error detection and correction. Adding in the validation stages _dramatically_ improved your productivity. Now the challenge is to optimise the process without sacrificing reliability, and go for it again in 2025 🤗

@uNiels_Heart Ай бұрын

Right on! I'm confident they can figure out a clever way to be substantially better next time ✌

@liorean Ай бұрын

No, 2025 is for another ridiculous way of doing it. It's just the even numbered years they do it by hand.

@richardfarrer5616 Ай бұрын

2026. It's ever two years.

@Alex-Lay Ай бұрын

If they had that archive group working well, maybe could they reuse the sheets for next time?

@syntaxlost9239 Ай бұрын

I'd expect more resources to volunteer next time. They may hit some novel scaling problems unrelated to the calculation aspect from just having so many people concentrated for a week.

@xXTomokoKurokiXx Ай бұрын

For Matt Parker, this is a genuine acheivement. 139 digits. Good luck getting further next time Matt!

@gollossalkitty Ай бұрын

Maybe we can try harder than six 😤

@michaelbauers8800 Ай бұрын

Like 10 times the previous best? He had a lot more help of course. The error checking was critical of course

@dominicpancella3012 Ай бұрын

I think this system is a pretty good baseline-also, as people have pointed out, if you scale the number of man-hours up to what Shanks did, you'd far surpass his record. Maybe two years from now he'll have found a Taylor series that distributes the workload even more, or simply scaled up the operation with the current error-checking scheme. Honestly, if I were to have the resources to spend a week in London, I'd love to come out in 2026 and help them break the record.

@Yezpahr Ай бұрын

19:17 Mat saw Shanks' redemption.

@uNiels_Heart Ай бұрын

Is that a pun on Shawshank Redemption? 😆

@Yezpahr Ай бұрын

@@uNiels_Heart Took me a while of puzzling to make a good one, but yes it was.

@rednammoc Ай бұрын

To the punitentiary with you!

@arnabbiswasalsodeep Ай бұрын

You know, I just realised that its poetoc that 139 is a prime number! I was bit bummed we didnt reach 140 but pi was hand calculated upto prime number of digits which makes it even better

@LibertyMonk Ай бұрын

I'm pretty sure the leading 3 isn't included in the number of digits, so arguably 140 total digits was reached, but only 139 after the decimal point.

@jamasa0074 Ай бұрын

141 would also be nice because, y'know 3.141

@insanecreeper9000 Ай бұрын

@@jamasa0074Twin prime with 137, 1/137 being one of the most important numbers in the universe.

@JohnDlugosz Ай бұрын

I think they properly calculated 138 digits (not counting the leading 3.) and got lucky on the next one, that didn't have a carry-in from the next bunch down that did not get computed.

@arnabbiswasalsodeep Ай бұрын

@@JohnDlugosz on my reply here, i have arranged the numbers (in group of 10 digits ) so knowing the last didgit was wrong even you can see that excluding the 3, its correct till 139th decimal

@Znogalog Ай бұрын

JAMES GRIME CAMEO!!!!!!

@TonyB369 Ай бұрын

We love James Grime!

@bl4cksp1d3r Ай бұрын

Steve Mould with his 2Pi cameo!

@LSA30 Ай бұрын

Ayliean was there too!😊

@Irondragon1945 Ай бұрын

singing banana!

@pdblouin Ай бұрын

A veritable who's who of the people the KZfaq Maths Algorithm has shown me.

@xanderlastname3281 Ай бұрын

Atleast it makes sense that the last digit was the one that was off, there was probably a carry over from the next digit you didnt have

@uNiels_Heart Ай бұрын

Yeah, and they expected more digits to be off (as you can probably grasp from their suspense in the video) as the carry-overs usually come in as multiple of digits (in this kind of calculation), not just one.

@xanderlastname3281 Ай бұрын

@@uNiels_Heart well yeah, I'm aware. What I'm saying is the one digit that WAS off is (probably) not their fault Had they continued 2 more digits, the current final digit would probably be right, and the new final digit would be wrong (In theory) (Is what I was talking about)

@luisglahn3649 Ай бұрын

Yeah exaclty. Since there are more then 50 numbers or so added up (We needed to go up to arctan order 40 or so for the Monday arctan, which means already 20 odd terms for this one arctan) there could have been a two digit carry over. Therefore we didn't expect the 139th digit to be correct as well

@NOTNOTJON Ай бұрын

With the number of digits this team calculated this year... you could construct a circle, 1 million times the size of the known universe, 28 million billion light years in diameter, to the precision of 1 hydrogen atom. That deserves the applause.

@deltalima6703 Ай бұрын

Suspicious.

@barakeel Ай бұрын

@@deltalima6703this is just 10^139.

@CartinaCow Ай бұрын

@@deltalima6703 Mathematicians have estimated that an approximation of pi to 39 digits is sufficient for most cosmological calculations - accurate enough to calculate the circumference of the observable universe to within the diameter of a single hydrogen atom.

@Sugar3Glider Ай бұрын

This is the first time in 40 years that a computer was comprised of a bunch of wired together logic in one giant building.

@jakistam1000 Ай бұрын

Isn't a server room, or a supercomputer, a bunch of wired together logic in one giant building?

@tomkavulic7178 Ай бұрын

The next time you do this you're gonna blow the record out of the water. That optimization, checking in parallel with the next set of calculations starting is big.

@paulramsey2000 Ай бұрын

No, that was a scheduling optimizing for completion of 140 digits with a given amount of resources not a throughput optimization. Had they not given out that speculative work as the parts wound down then people would have been idle waiting for the calculations to be confirmed.

@paulramsey2000 Ай бұрын

Unless they get a bunch more people to participate next time. In that case they may need to do this to have enough work for all of those people.

@pietergeerkens6324 Ай бұрын

I'm intrigued by the lack of mention of how "resource allocation" was done. It's a fact that dividing by those very large values is a very specialized task; especially when alternative tasks of dividing by the small odd numbers, performing the modularity checks, and adding are also required. I'd wager that it is **difficult** to accurately predict in advance who performs best at the most challenging long divisions. Introducing a task-orientation for resource allocation, based on observed error rates, I believe has huge potential for reducing error rate. That's the real bottleneck. Every incorrect return now ties up multiple more capable (for that class of calculation) resources AND delays subsequent work.

@paulramsey2000 Ай бұрын

A detailed write up of the plan and execution would really interesting.

@raulgalets Ай бұрын

going from 1 person 6 digits to 5 people 5 digits really shows how "if you wanna go fast go alone. If you wanna go far, go together"

@abhitakshjewels Ай бұрын

Congratulations to matt parker for breaking 2018's record of 14 digits of pi correct( that pi day 2018 pi record held for 6 YEARS)

@mission2858 Ай бұрын

really puts into perspective the sheer difference computers made. a single computer (and a low end one too) could do all of this in probably less than a second.

@0ia Ай бұрын

Yea actually low end computers are so fast; the new ones only feel slower because software developers are lazy and waste the extra speed. Lots of bloat in modern software, both in the operating systems and in the software we run!

@Kleyguerth Ай бұрын

@@0iaIt's not about laziness, it's about market timing... A slowish software that gets released beats the incredibly fast software that's still in development

@0ia Ай бұрын

@@KleyguerthI suppose my idea of "laziness" is an optimistic idea that people would want to only release fast software, and you're probably right.

@LibertyMonk Ай бұрын

@@0ia bloat doesn't come from laziness, it comes from a lot of hard work adding features that you'll never know exist, or just devour because it makes for a better experience. We hit "fast enough", then optimize for things other than raw speed nobody can notice.

@mission2858 Ай бұрын

@@0ia some stats: I have an intel I3 1115G4, which has 844 GFLOPS of GPU power a high end RTX has about 20x or more power the most powerful computers are millions of times faster than mine the most powerful computer can do 1 100 000 000 000 000 000 32 bit operations a second. there are 8 billion humans on earth if all of us pooled together solely to do mathematics, we would be comparable to the most powerful computer *40 years ago*

@timvermeulen4024 Ай бұрын

Please note down the new value of pi: 3.13

@SuviTuuliAllan Ай бұрын

*13.3

@willclark491 Ай бұрын

This makes me suspect a legislature was involved!

@natheniel Ай бұрын

Parker Pi

@ireallyhatemakingupnamesfo1758 Ай бұрын

@@nathenielthe less known cousin of the Parker square, the Parker circle!

@alexsere3061 Ай бұрын

google is giving me a pi animation whenever I use the calculator, I was so confused if maybe pi day had changed or sth

@duckydude20 Ай бұрын

that guy giving rating of 3.14 gets me...

@DeathClawz Ай бұрын

I knew it was coming as soon as he said "0 to 5" and it still made me laugh, the cut off was great too because you can tell he went on and said more digits lol

@vigilantcosmicpenguin8721 Ай бұрын

Comedic timing was perfect. I actually didn't see it coming, somehow.

@jcpessis Ай бұрын

I've never been so excited by someone reading digits of pi 😮

@gam1ng_pr0d1gy7 Ай бұрын

I never thought I'd get genuinely emotional watching this video lol but at the end I almost had tears in my eyes. Theres just something so beautiful about when humanity can collaborate on something just to prove to themselves they can do it. Why can't the whole world just be like the group of people in that auditorium? Happy Early Pi Day!

@loops8274 Ай бұрын

I cried during the final readout. No shame. We love humans here

@Pouckie90 Ай бұрын

This is the first time I got emotional because someone was just reading numbers ...

@vigilantcosmicpenguin8721 Ай бұрын

Great things can happen when people put their minds to it. Silly things can happen too! Hooray!

@VivekYadav-ds8oz Ай бұрын

@@Pouckie90I actually did get emotional once before someone was reading out numbers! Dad was not pleased with my marks.

@ahall9839 Ай бұрын

Because the world needs houses and highways, not a bunch of sweaty nerds with zero muscle mass and blue hair

@adamtune Ай бұрын

I like how the 7 arctan equations each have a name which is a member of a group of 7. But there are a few that don't make as much sense to me, hopefully they can be explained: 1. Monday (obviously 7 days in a week) 2. Shimada (I'm not sure on this one, but it's a city in Japan) 3. Asia (one of 7 continents) 4. Greed (one of the 7 deadly sins) 5. Pacific (another puzzling one, there aren't 7 oceans as far as I'm aware) 6. Giza (a city in Egypt, known for its pyramids, but I don't see a connection to 7 here, either) 7 Doc (the odd-named dwarf of the 7 dwarfs from Snow White) If there are explanations for Shimada, Pacific, and Giza, I'd love to hear them. (Maybe it's in the video and I haven't seen it yet, I paused to think about the names)

@lewisdean889 Ай бұрын

shimada is one of the “seven samurai”, pacific is one of the “seven seas”, and giza is one of the seven wonders of the world!

@Imperial_Squid Ай бұрын

The Pacific one is probably in reference to the "seven seas", which is a term dating back thousands of years. The actual list is the Arctic, North Atlantic, South Atlantic, North Pacific, South Pacific, Indian, and Southern oceans apparently. Honestly it's more a narrative thing than a terminology thing so i wouldn't stress too much about it

@elideaver Ай бұрын

5: sailing the 7 seas is the stock thing a pirate does 6: pyramids of Giza are one of the 7 wonders of the ancient world

@nevcairiel Ай бұрын

2. Kanbei Shimada is the leader of the Seven Samurai 5. The Seven Seas is certainly a concept, even if out of date. 6. Giza is one of the Seven Wonders of the World

@NeatNit Ай бұрын

Giza is one of the Seven Wonders of the World.

@mattyberenblut1666 Ай бұрын

I absolutely loved being part of this Tau / 2 calculation!

@ZetaTwo Ай бұрын

23:17 to continue Emma's computer analogy, this is where they added speculative execution and increased the performance. Was great fun to participate in this event. Thanks for organising!

@michaelbauers8800 Ай бұрын

I thought it was a great analogy. I started remembering the work that went into my toy CPU ( built in a logic gate simulator.) Back in the old days, there were no pipelines in CPUs. Now they rely on pipelines. And of course super computers have relied on pipelines since the beginning for all I know; Cray 1 used "vector processing" which was pipelining. I once parallelized an algorithm and it was slower. So the comment made about it not linearizing was of course very relevant. At some point, throwing more resources at a problem might even hurt. With lessons learned here though, I am sure they could scale to more people. Funding might be an issue.

@torbenmayer Ай бұрын

0:49 that cut, 10/10 funny

@jan_kulawa Ай бұрын

19:28 this looks like a Monty Python skit

@michaelbauers8800 Ай бұрын

Almost certainly inspired by The Holy Grail. I would be surprised to find out it wasn't.

@PersonaRandomNumbers Ай бұрын

That one guy is right, comparing this scheme to modern computer architecture is neat! The final day of sending out dependent sheets before finishing checking is similar in concept to speculative execution (related to the meltdown bug, sending out future instructions before finishing exception checking); lookup tables are similar to caches; and having figured out the dependencies between different calculations achieves the same goal as register renaming. I genuinely don't think there's any big ideas that apply from computer architecture that got missed!

@thegenxgamerguy6562 Ай бұрын

So you practically turned Pi into a big social happening that brings people together and makes everyone happy. Nice work, man! 🙂

@Great_Beholder_Brooke Ай бұрын

I was apart of the calculation and it was some of the most fun I've had in years. So many really fun people to talk to. I definitely recommend joining the next ridiculous maths project Matt does next

@clausewitzianwar Ай бұрын

It's been far too long since I've seen James Grimes

@shashanksistla5400 Ай бұрын

singingbanana ftw

@phwaedih Ай бұрын

was so much fun to help out, Matt!! Thanks so much to you and all the team for organising this mathematical madness, can't wait to have another crack in a couple years time!! - Freddie :)

@erichurst7897 Ай бұрын

"Awfully drawn 8" "Yep. It's alright on here" That was gold.

@DanielVidz Ай бұрын

Please have *Pi Fisher* 36:09 back for the next attempt. I'm sure their efforts were invaluable

@malterichert2927 Ай бұрын

We need to know more about this person: Are you actually named Pi? Are you a mathematician? Are your parents mathematicians? Do you have three kids born in march, january and april? Are your siblings named e and i?

@TheVillan1980 Ай бұрын

@@malterichert2927It’s their evil twin named Tau that you need to watch out for.

@BRORIGIN Ай бұрын

Unless Pi Fisher answers himself, I can say that he is a very nice person! I was on the π-brary team (I'm talking at 7:00) and he was the head π-brarian. His name indeed is Pi (I do believe it is greek) and he helped us fish for pi. You can see him with brown hair and beard wearing a face mask in the π-brary. We definitely could not have done it without his organizational skills 🫡

@vigilantcosmicpenguin8721 Ай бұрын

@@BRORIGIN A wonderful case of nominative determinism.

@wardr1 Ай бұрын

Agreed!

@grogyan Ай бұрын

FINALLY, Matt you have posted a PI day video on PI day here in NZ ❤️ Much appreciated

@matthewlehner4747 Ай бұрын

27:13 That person in the crowd with an emotional support Blahaj😂

Ай бұрын

I was there and it was every bit as fun as it shows in the video. Thanks for the opportunity!

@actuallyasriel Ай бұрын

I love how in the process of doing this, Matt has independently discovered one of the reasons why writing multithreaded computer programs is so difficult!

@hydrogen-8 Ай бұрын

3:12 xkcd 1417

@RubyPiec Ай бұрын

oh my god it is

@siener Ай бұрын

Well spotted. I missed it. Here's what each collection of seven: 1. Days of the week 2. Seven Samurai (I had to Google this one) 3. Continents 4. Seven deadly sins 5. Seven seas 6. Seven wonders of the ancient world 7. Seven dwarves Edit: The Pacific one is a bit suspect. The expression "the seven seas" is ambiguous, and the Pacific is not on all lists and on some is divided into the North and South Pacific.

@MattMcIrvin Ай бұрын

@@siener It's actually remarkable how culturally widespread the notion of "the seven seas" is despite a *total* lack of consensus as to what those seas are: en.wikipedia.org/wiki/Seven_Seas

@seanfaherty Ай бұрын

I was not expecting the emotional swings. Fantastic editing.

@adampartridge1903 Ай бұрын

Such an awesome experience, I was there for nearly the whole thing. Surrounded by so many nice people just having fun, no stress, just good vibes and meeting the youtubers I'd watched for so many years and making new friends. Thank you so much for organising this Matt, Katie, Sophie and the entire standup maths team!

@arbitraryconfusion Ай бұрын

"Honestly, just felt kind of nerdy." A good cap-off.

@NOTNOTJON Ай бұрын

WOW! I genuinely did not expect this video to bing a tear to my eye, but I was taken at the end past the 100th digit. Just brilliant! The last digit being off was the icing on the cake because, to me, it showed the optimal amount of error correction was in place. Well done to everyone involved.

@ps.2 Ай бұрын

The last digit was not a mistake. It could only have been right by pure luck, because it's the result of adding 7 terms together, and there was likely a carry/borrow from the 141st and 142nd digits, which they didn't have time to calculate.

@AnupAgarwal-x Ай бұрын

I am so happy and emotional at the same time. I always feel this way when I see human endeavor. One of the best pieces of KZfaq. Thanks Matt. Thanks team.

@elmargreeff2726 Ай бұрын

They've calculated pi to the maximum accuracy you could fit into a tweet back in the day

@IanZainea1990 Ай бұрын

amazing!! There's no reason next year you couldn't pick up at 140 and continue! MISTER Shanks didn't do it all in one go! So you guys can do the next 139 next year!

@Schmogel92 Ай бұрын

What a lovely editing job you people did! It was a joy to watch in full :)

@lordqaz1 Ай бұрын

It was so fun to be a part of this process, was there for 2 days and thoroughly enjoyed both! Great to meet lots of different Maths nerds along the way. I shall certianly be joining the next attempt whereever amd whenever that may be!!! Cheers Matt for signing my calculator!

@jo555444 Ай бұрын

One of the greatest meetings of Nerds ever seen. Very close to a Star Trek convention. Love it.

@deltalima6703 Ай бұрын

Trek. 😰

@alihms Ай бұрын

200 people over 7 days still can't beat 1 person over 40 years. That one person was phenomenal!

@kjdude8765 Ай бұрын

On a per digit rate the new group was twice as fast, 10 person-days per digit, vs the original 27 person-days.

@Irondragon1945 Ай бұрын

to be fair 200 people *7 days = 1400 peopledays which is less than 5 years for a single person

@CorwynGC Ай бұрын

The problem is not linear in digits. O(n^2) at least.

@GoErikTheRed Ай бұрын

@@kjdude8765I assume that the original guy wasn’t spending 8? Hours per day on this. While we don’t really know how many man hours/digit he spent, this year’s efforts can provide a benchmark for future techniques

@asheep7797 Ай бұрын

Well, I mean, 8 billion people over 100 years can't beat 1 person over 40 years without computers!

@Mindez Ай бұрын

It was incredible to have been a part of this, thanks to all the team for organising it. See you all in 2026 for the next attempt when we'll get even further! 💜

@PronteCo Ай бұрын

I love the explanation of 16:40 because the parallel between those people and a processor was also my first thought!

@yanikb.1312 Ай бұрын

Before watching I was like: "Yeah maybe they'll get 12 digits this time"

@michaelbauers8800 Ай бұрын

lol. Matt's past results were no where near as close. But he had a lot of help this time, and a lot of error checking.

@jasonkirkendall7283 Ай бұрын

Celebrating pi and bureaucracy at the same time

@peter_castle Ай бұрын

That's an awesome effort, that was really worth watching. Memorable, I applaud too the great accuracy achieved in only one week, the seemingly great convivence and atmosphere, the video detailing the steps how it everything worked, the drama on that calculation almost mistake. The 140th digit I expected it would work, but I wasn't disappointed it didn't, it seems you were happy with the result, as I was, 139 is way more than enough digits to celebrate this as a momentous event for me! I salute everyone who worked tirelessly for a week for this project to come to this awesome and unprecedented fruition! :)

@uNiels_Heart Ай бұрын

Yeah, they were even afraid that the second to last as well as the third to last digits would be wrong, which is not unlikely considering they could easily get carry-overs from downstream calculations (which they weren't able to do in time) for those digits, I suppose.

@rinolevesquejr2914 Ай бұрын

Not sure why but I have grown to look forward to Pi day because of how you come up with methods new to me. It is so interesting! You’ve captured my attention ever since the domino computer. Conceptually beautiful to me even if there were hiccups with that video and I’ve been with you for the Pi ever since

@user-ch9vd4cd3t Ай бұрын

This team is chock full of big names: Sophie Maclean, Katie Steckles, James Grime, Matt Scroggs, Ayliean McDonald... These people are my celebrities.

@lopsidedhead Ай бұрын

So happy to have been a part of this!!!! Such a fun experience :D

@LetsGetIntoItMedia Ай бұрын

I love the tongue in cheek news story presentation, the ominous juxtaposition cuts to each day, and the final countdown gave me shivers 🎉 With this system figured out, I think you might have the world record in the bag next year! I'm absolutely signing up to help however I can

@awildermode Ай бұрын

One of the most exciting videos on KZfaq. I may have shed a tear. Bravo!

@emilyscloset2648 Ай бұрын

Thank you for organising this, this was so much fun to be apart of!!! Can't wait till the next one

@DavidBeaumont Ай бұрын

Coming next from Matt Parker "The Mythical Mathematician Month".

@michaelbauers8800 Ай бұрын

Well played!

@brianb.2398 Ай бұрын

Matt's name tag; Maπ ... brilliant

@heaslyben Ай бұрын

Classic divide and "concur" algorithm! I would love to participate in one of these impossible events some year, geography permitting!

@TarenNauxen Ай бұрын

3:20 I had a hearty chuckle at those team names. 7 references to groups of 7. Well played.

@Tepalus Ай бұрын

This reminds me of The 3 Body Problem and the way Trisolaris calculated stuff in the beginning. :D

@eti-iniER Ай бұрын

Exactly lol 😂 That was the first thing that came to my mind. I assume the Trisolarans were better organised and more motivated though. And even then it'd have been painfully slow work

@richbuilds_com Ай бұрын

"William Shanks was voiced by the excellent Ben Moor" - he was excellent, and I totally recognise that voice from somewhere!

@rosuav Ай бұрын

I love how this calculation is XKCD 1417 compliant.

@dennispremoli7950 Ай бұрын

I think the really interesting thing is how the layout of the room and the tasks each table was assigned, if very reminiscent of the diagram outlining processing cores in a CPU.

@nfnworldpeace1992 Ай бұрын

things like this really put to contract what a major undertaking this was for a single person. also i love the processor remarks! maybe there is a lesson in there for improving the production side of things

@blinblue Ай бұрын

I had an absolute blast participating. Thanks to Matt and the whole team, more than anything this is a triumph in organizing people. Everyone seemed to be having a great time doing math, and we got 139 digits of pi, sounds like an win all around

@pedrogarcia8706 Ай бұрын

when I was a kid and I heard about people or computers figuring out what the digits of pi were via calculations, I always assumed that just meant measuring a circle's diameter and circumference and then doing a single long division problem of c/d. I didn't really understand back then that you wouldn't be able to accurately measure the circle to enough significant digits to get even close to a hundred digits of pi.

@BritCap1 Ай бұрын

That's an amazing achievement! Congratulations, Matt and Everybody who worked so hard or waited for that moment! I was genuinely so happy!

@cyndi5hunt Ай бұрын

I can’t believe I cried at the accomplishment. Hard work and good attitude as well as a little bit of luck made it so incredible.

@bigyang5847 Ай бұрын

I'm still rounding it to 4

@TheVillan1980 Ай бұрын

*Engineering has entered the chat*

@EPMTUNES Ай бұрын

Excellent video Matt. I have been watching your videos since far before I should have been on the internet. Videos like yours on the transit of Venus, optimal calendaring, and parabaloid buildings sparked my interest in math at a young age. I still hold that to this day and it has motivated my decision for college major and guides me through the endless homework I have. This video, in the 10+ years I have been seeing your videos and consuming your books, may be the best you’ve put out. It feels so great seeing this stem from such a starting point not meant to be taken too seriously. Also the transcendental joke was funny.

@marklonergan3898 Ай бұрын

16:21 - i agree with Emma. Ironically, the most interesting part of the video for me was the logistics of coordinating everything and how each dedicated-function desk all fed-together to make a full system for calculating pi.