The original video starts on Stand-up Maths: kzread.info/dash/bejne/eJqVmo-Mj5qXqNI.html ... And then transitions to Steve Mould Shorts: kzread.info267MQF1z2PU ... Before landing HERE... then going back to the original Stand-up Maths

@use2l

2 жыл бұрын

how is your twosday

@PMA_ReginaldBoscoG

2 жыл бұрын

20:52 spoiler alert to anyone who reads this comment. The perfect cameo that no numberphile2 viewer has ever expected 😂

@manojgoyal8614

2 жыл бұрын

Hi

@snowgods2195

2 жыл бұрын

Your double recursion gives you an infinite number of mathematicians, now you just need a pub...

@Bibibosh

2 жыл бұрын

Type 50/49 on your calculator. Can someone explain why this is.

Honestly not even surprised that Tom can travel between dimensions.

@CyborusYT

2 жыл бұрын

and he's the only one that is responsible enough to fix this mess

@vigilantcosmicpenguin8721

2 жыл бұрын

He's already a time traveler, as anyone in the comments knows. So this isn't too surprising.

@MrMctastics

2 жыл бұрын

Amazing Places: I, the lone traveler who sees all, have traveled beyond space to find the underpinnings of reality

@T3sl4

2 жыл бұрын

Honestly I was hoping it was the guy from PBS Spacetime. Or both, one on each channel!

@skyborgsin

2 жыл бұрын

@@CyborusYT of course he is, he is skilled in programming after all, it's a mission to fix user mistakes!

Tom finishing this off was priceless

@monkeyshk7349

2 жыл бұрын

Would it be a crime if I liked this comment and advanced the number of likes to 223?

@harryhirsch3637

2 жыл бұрын

@@monkeyshk7349 It is in TWO ways. First you break the symmetry, second 223 is a calibre and nobody wants the NRA in on the fun - because they aren't fun!

@harryhirsch3637

2 жыл бұрын

If Tom reset the universe last time, is he Neo? All of a sudden my screen fills with dropping green characters...

@riuphane

2 жыл бұрын

@@monkeyshk7349 someone was bound to, might as well be you, mate

"Everest is the mountain of 2s" K2: "Am I a joke to you?"

@vatsan2483

2 жыл бұрын

Good one!!

@munjee2

2 жыл бұрын

K2 also has k2 commonly used names, K2 and Goodwin Austin

@vigilantcosmicpenguin8721

2 жыл бұрын

Of course, the mountain that's #2 on the list of highest elevation has got to be the mountain of 2s.

It's appropriate that they make two timelines running parallel with these videos

@vigilantcosmicpenguin8721

2 жыл бұрын

And one of those is Numberphile2.

@keithbromley6070

2 жыл бұрын

@@vigilantcosmicpenguin8721 And the other one is an anagram of MATT P HANDS US… 2 Numberphile2. 🤔

@lastchance1036

2 жыл бұрын

@@keithbromley6070 haha I almost believed you

we love the implication that tom is just, taking a trip to another reality as if it's just another cool thing to make a video about "Amazing Places: Outside The Universe"

@shambhav9534

2 жыл бұрын

Sorry, I too didn't leave a like in order to keep the like count as two.

@vigilantcosmicpenguin8721

2 жыл бұрын

No, he's on vacation. You see, every place on Earth is a potential Tom Scott topic, which means the whole planet is his workplace. The only way to get a break is to get off of this world.

Let digons be digons was one of the best jokes ever. You can tell everyone else was sad they didn’t come up with it

@vigilantcosmicpenguin8721

2 жыл бұрын

Well, Matt isn't used to telling a lot of jokes.

@metametodo

2 жыл бұрын

I don't get it :/

@pmcauslan

2 жыл бұрын

@@metametodo let bygones be bygones

@metametodo

2 жыл бұрын

@@pmcauslan oh, I didn't know of that expression, thank you. Makes sense now.

@CraftBasti

2 жыл бұрын

@@pmcauslan I still don't understand; English is not my native language

"import math as maths" is now going to be my thing. Thank you for these videos - they made my day!

Nicely fitting to see this on numberphile 2

@namelastname4077

2 жыл бұрын

it should have premiered on 22:22

@JavSusLar

2 жыл бұрын

This comment has 222 likes. I don't want to break the beauty, I'll let somebody else do it and then I'll hit like.

I love the digon tattoo. That's the perfect mix of very nerdy yet obscure enough that you have to be a super nerd to even know that it IS nerdy =)

@VeteranVandal

2 жыл бұрын

Digons count as a real shape.

@VeteranVandal

2 жыл бұрын

@-GinΠΓ Τάο Probably.

@bow-tiedengineer4453

2 жыл бұрын

these sorts of things are the best tattoos. They are more amusing than just a picture, but interesting enough to be funny for all time. I have a different sort of nerdy tattoo that I've been considering, if I ever do get a tattoo. If you know why a tattoo of the locomotive Edward Thomas from the Talyllyn Railway would make for an amusing reference, then hats off to ya.

@vigilantcosmicpenguin8721

2 жыл бұрын

And, if you don't have the inside knowledge, then it's just a neat, simple design. It's beautiful in its simplicity.

@VeteranVandal

2 жыл бұрын

Boring people used to be square. Now, I just call them Euclidean. Those that know will know.

Seeing the recusion joke twice makes it even more funny 😄

19:50 It's not just about the order of the day-month pair, but about consistency in the day-month-year triple, where the American `month/day/year` is absolutely confusing. I remember shortly after the millennium, when the year was also just a low number, American dates were impossible to decipher, unless it was the end of month. I don't like my country's `day.month.year` date-format either (although, it is at least consistently increasing, as opposed to the seemingly random American format), and I prefer to use `year-month-day` instead, as described in ISO-8601: decreasing order of "magnitude" separated by dashes, as in 2022-02-22, which is also consistent with the decreasing `hour:minute:second` time-format, which - when combined - naturally results in date-time-stamps being sortable lexicographically.

@angeldude101

2 жыл бұрын

ISO-8601 is the perfect date and I don't think anything can convince me otherwise at this point.

@acoupleofschoes

2 жыл бұрын

For computational or sorting purposes, year-month-day decreasing order clearly makes the most sense, but for written/spoken "word" dates I prefer month-day-year. When speaking of dates in general we (I) tend to think of containers: days are parts of/contained in months, months are parts of a year. I can say "February 22" or "February 22nd" but to reverse them it only sounds natural if you include an article to signify the belonging of a day to a month: "22 of February" vs "22 February". Having the year at the end is kind of because in general, everyday use you don't refer to the year, it changes so seldom in comparison to the other parts, so "February 22, 2022". Maybe all this is just me.

@1224chrisng

2 жыл бұрын

another benefit of ISO is that, because it's big-endian, it also sorts alphabetically

@KaiKunstmann

2 жыл бұрын

@@acoupleofschoes Yes, it makes sense to refer to the most volatile part first while speaking. Even though I write "2022-02-22", I read and speak it "22nd (of) February, 2022", from the back. Never-the-less, the American "month x-th, year" is inconsistent in this regard, by obviously NOT naming the day first. I can imagine, that "22nd February" (without "of") sounds weird in your head, when you're not used to it, but then by all means just use the preposition.

@sabinrawr

2 жыл бұрын

@@angeldude101 I have been using YYY-MM-dd since long before I knew that it was a standard. I did it for the reason that @1224ChrisNg said, because it sorts alphabetically and made file management easier. Once I did start getting into programming and using databases, I just entered dates in this format and didn't think anything of it, still not knowing until a bit later that it was an international standard. Of course, I HAVE to be different and prefer to use 23:59:59, 24:00:00, 00:00:01 progression because to me all-zeroes feels like "time unspecified". Yes, I know this is wrong, but I'm fine with that!

If Tom doesn't restart the universe, there will be nothing for him to use in order to practice his parkour.

This is the content I signed up for. My fav mathematicians geeking out over silly facts for more than 20minutes. Way to go!

Tom Scott having to fix what Matt has done in the end is a mood, honestly.

Ah, so Tom Scott is a Time Lord and was out in his TARDIS. That explains his poor attempts to look like he's aging.

2^20 = 1,048,576

@KshitijTyagikung

2 жыл бұрын

You should have been there 2

Surprised that nobody comments about "My God, it's full of twos!" XXXD Big fan of Steve Mould.

@csn583

2 жыл бұрын

It all started when Steve Mould showed up in monolith aspect ratio. Does that make Tom Scott the Star Child?

@xXTomokoKurokiXx

2 жыл бұрын

And he shouts it twice!

That was a cool piece of improvised mathematics if that was really as on-the-fly as it looked

@vigilantcosmicpenguin8721

2 жыл бұрын

Well, as Vi pointed out in the other video, all math is made up.

@GoErikTheRed

2 жыл бұрын

3Blue1Brown is a wizard when it comes to math and visualizing math

@gijs337

2 жыл бұрын

One of his lockdown-live maths was about this topic, so he’d done research about it already

For Grant: About representing dates and times: This is why YYYY/MM/DD is the only appropriate way to write dates. We don't write the time as mm:ss:hh or hh:ss:mm, do we?

@ehzmia

2 жыл бұрын

The fact that is sorts correctly is reason enough.

@anders160196

2 жыл бұрын

The Chinese are the only ones who got their date formatting correct o.o

@Norsilca

2 жыл бұрын

Exactly. I like dashes (YYYY-MM-DD), but if you get the order right, you can separate them with interrobangs as far as I'm concerned.

@csn583

2 жыл бұрын

YY?!DD?!MM, change my mind.

@brianolsen5435

2 жыл бұрын

Dashes (YYYY-MM-DD) are the way to go. Can't name a file "2022/02/22 database backup.pdf"

Matt is 2. James is 4. Katie is 8. Steve is 16. Ayliean is 32. Ben is 64. Grant is 128.

@vigilantcosmicpenguin8721

2 жыл бұрын

Which would place Tom Scott at 2,097,152, at which point the universe could no longer handle it. Though that's only 21 people - I think Matt also counted the VFX artist, so Eugénie Von Tunzelmann gets the designation 4,194,304.

Import math as maths is an excellent language joke.

Looks like this is a Part 2!

The amount of effort that went into such a silly cyclical composition joke... I would expect nothing more nor less from Matt, who I have to assume was the mastermind behind the idea 😂 If he wasn't... then I certainly expected more from you, whoever you are! 😁

Tom Scott is the MVP as always

It is oddly satisfying that the video is EXACTLY 23 minutes. So exact I can barely believe it...

19:20 the disgust in matts voice gave me a proper laugh

@narfharder

2 жыл бұрын

It's OK Matt, e-th root of e is _two_ e's.

I love this! To me, this is the culmination Phase 6 of the superhero multiverse ❤

Pure joy. What a beautiful, beautiful collaboration!

Alright, Watching both one after the other was worth it. Nicely set up Love to see all working together over so many years

9:10 Two feet on the Mount Everest 😂

Loved this! Great to see you all together.

2:54 - You don't need to walk underwater, or anything like that. Just go with a friend to Digon Alley, and there you have it.

I love this channel so much!!! Massages my brain internally and it feels so good!

I love this unplanned format of you asking follow-up questions amongst yourselves which lead to a discussion! Moar!

What a fantastic journey through reality itself. Marvellously composed.

I have my calendar marked for threes-day Thursday. Let's Goooooooo!

I don't think I've laughed this hard at a video in my life. A subtle "I'm here at the outside of the universe" joke by Tom after everyone gets sucked into a recursive black hole. Love it

thank you at all who participated!

For some reason it makes perfect sense to me that Tom is an interdimentional traveler

19:22 if you're looking for the date with the most 'e's in it, december and september seventeenth both have seven, and the year can be any combination of seventeen, seventy-three, and seventy-seven, all of which will have eight, for a total of fifteen the most recent e day was december seventeenth, seventeen seventy-seven (12/17/1777) the next e day will be on september seventeenth, seventy-three seventeen (9/17/7317) If you want to include the day of the week, wednesday has the most with 2 Both dates in 1777, 7377 and 7777 are wednesdays, totaling 17 e's. All the other dates are fridays. the most recent was wednesday december seventeenth, seventeen seventy-seven (12/17/1777) the next will be on wednesday september seventeenth, seventy-three seventy-seven (9/17/7377) You could also add 1 e to all of these by saying "the _ of _" instead of the normal way

@shivamsahu9742

2 жыл бұрын

12/17/1777*

@derorje2035

2 жыл бұрын

What dates are you typing? There is no seventeenth month in a year.

@falco2911

2 жыл бұрын

@@derorje2035 boo hoo

@angusvanschaik2727

2 жыл бұрын

It is actually e day today 2022/02/23 is wednesday twenty three february which is the first day with 6 es which is the most for that year

@falco2911

2 жыл бұрын

@@angusvanschaik2727 Friday December seventeenth has 7 And that date would be written as Wednesday February twenty-third which only has 4

I enjoyed tuning this in.

"let digons be digons" hahaha

"For the love of God, surely there's a better way to do this" Grant's notes to himself in Desmos are great. That sentence feels very Grant-like, too, somehow.

This would've been so incredibly difficult to coordinate, wow. Great job everyone involved!

Her tattoo is VERY satisfying! Quite exceptional!!!

@RibusPQR

2 жыл бұрын

Tattwo

I investigated the tower of powers for a class decades ago. It does cool things if you let x < 0 and graph the complex numbers that the value oscillates between as you add powers. 🙂

Thinking back on 11/11/11 Numberphile was a simple channel and only had James doing something about the date. Wow, has the decade changed.

@vigilantcosmicpenguin8721

2 жыл бұрын

When people look back on human progress, nothing will be more monumental of a change than the evolution of Numberphile. I can't wait for 3/33/33.

I watched the other video when it went live... I just discovered this now... This is great! Kinda

They got into the sqrt(2) to powers, but they neglected to state that since (sqrt(2)^sqrt2))^sqrt(2)=2 (so not power tower, but nested powers), there is an irrational number which raised to an irrational power is rational- but we don't know whether the base is sqrt(2) or sqrt(2)^(sqrt 2)!

@xXTomokoKurokiXx

2 жыл бұрын

Likely because Matt has brought that up before, I believe in the "Pi to the Pi to the Pi to the Pi" video.

This was fun to watch

Destin's unexpected cameo was the hot fudge on top of this sund...well Tuesdae, but Tom's outtro was the cherry. 🤣

You guys are absolutely crazy and i really love that! It feels a bit like "Big Bang Theory - Advanced" 😂😂😂

I enjoyed that square roots of 2 section way too much, it was a joy to see you all get really into that one! ^_^

As a reward for discovering irrational numbers like √2, the Greek Hippasus was drowned.

Have you ever watched a bunch of musicians just jamming? This was a math jam. And just as fun to watch.

I can't believe they talked about Mt. Everest on Twos-Day and didn't mention the 2nd highest mountain in the world, K2!

Priceless

Matt didn't listen to publishers when they said "that's not how you do marketing"

Another fact involving 2: In binary, if you write 11, you get 3. Now put 2 0s in between the 1s, you get 1001, which is 9. Keep increasing the number of 0s by 2 and write the result. You get the sequence 3, 9, 33, 129, 513, 2049, etc. They are all multiples of 3. Now, if you divide all of these results by 3, you get the sequence 1, 3, 11, 43, 171, 683, etc. if you take each term and subtract the previous term from it, you get 0, 2, 8, 32, 128, 512, etc. this could also be written as 2^1, 2^3, 2^5, 2^7, 2^9, etc. the power is 1 higher than the number of 0s in the original binary number that yields the result. I’ve tested this with a python function and it works for all numbers below 514, and the only reason 514 doesn’t work is because the value exceeds the size limit for floats. If the above explanation didn’t make sense, put the function below into a Python editor and test: def function(n): return math.log2(((2**(2*n-1)+1)/3)-((2**(2*(n-1)-1)+1)/3)) print(function(n)) It should return the exponent of the power of 2, not the power of 2 itself, as it’s easier to test if it’s a power of 2 by getting the log2 of it. It should return increasing odd numbers, starting at -1 when n is 1. If you would like me to explain the function in greater detail, let me know.

this is great

Good thing Tom brought a warm jacket on his interdimensional journey.

2 is the only even prime number

this is amazing

Of course i had to go and check.... Turns out the third of march 2033 will indeed be a thursday. You guys better deliver for threesday video :p

"There's no such thing as 2" - Phillip J Fry. It had to be said.

@vigilantcosmicpenguin8721

2 жыл бұрын

Well, not anymore, now that Matt destroyed the universe.

Love it 🦸‍♀️

these two videos were too much fun

This was the best one to start with

lol, this pair of videos was great

In general for f(x) = b^x, if b = x^(1/x) you will find f(x) = x. However, 1 and 2 are the only whole numbers for which the recursive part works (and 2 is the only interesting case). If you do it for 3 or 10 or 20, you will find that the recursion does not converege to that number. The reason is that they are "unstable" solutions. The recursion converges if the derivative around the solution is smaller than 1. In this case, f'(x) = log(b) b^x. Plug in x^(1/x) and you get log(x^(1/x)) (x^(1/x))^x (1/x) * log(x) x log(x) and log(x) < 1 gives only two whole number solutions: 1 and 2!

The fact that video is 23 minutes long on Twosday is just triggering.

I have both of the Twosday videos in my recommendations, so I am clearly in the best possible KZread

Nice work Matt.

19:00 the way that I understood this is that you have n ^ (1/n) to the infinitely stacking powers of n^(1/n). So here we have sqrt 2 ^ sqrt 2. The powers will alternate between 2 and 1/2 down to the base. So you really have 2 ^ 1/2 ^ 2 ^ 1/2... So you could say that it (sqrt 2) ^ 2 ^ 1/2 ^ 2 ... And you could collapse the exponents with fancy multiplication and go (sqrt 2) ^ 1 ^ 1 or 2 ^ 1/2 ^ 1. But! If you steal the first 1/2 and multiply it by the next 2 you can go 2 ^ 1 ^ 1 but the last exponent in the chain will be 1/2. So as your chain gets infinitely long, you can keep collapsing the exponents until you get 2^1 =2

The similarity between the infinite fraction and infinite powers is that... You can write 2=sqrt(2)^2, where you actually have another 2 on the right side, so just like the fraction construction, you can "plug in the exact same thing", and now you get 2=sqrt(2)^{sqrt(2)^2}, and you can go on forever again.

Loved this chaotic Saga!

My contribution: I recently defended my dissertation, and the result I proved relied heavily on the fact that function fields over F_2 behave very differently than other function fields.

7:32 "some fine toones" laughs

I'm watching this exactly 22 days after it first uploaded

love the UK/US time date convention rivalry!

Loved this video 😂

I expected someone to sign off with "2-dles!"

OMG everyone!!! Watch til the end!!! It is sooooo worth it!!!

happy 22/2/22

Brilliant. 2 fun.

There was something about the intonation of digons at 2:55 which instinctively made me think of the phrase, "let digons be digons," and sure enough, 9 seconds later...

Genius!!

The best joke is the recursion of each Tom referring to "every time" referring back to the other one referring back to the other one, etc... etc...

Great interlinked Videos 😎😎😎👍

Ladies and gentlemen, the Matt Parker Cinematic Universe.

Very cute and nicely done.

Well this was two-riffic!

You don't celabrate e's day. You celebrate e's eve.

15:11 Did you seamlessly cut out Grant's struggle with setting up Desmos or did he have this power tower notebook on hand xD?

@shadowatom

2 жыл бұрын

He had it on hand from his Lockdown Math Series he had done. Funnily enough, I think most of the questions/points talked about during his part were explained in his lecture.

I loved how it ended 😂

22/2/22 22:22 Tuesday here in Nepal

Fun fact, Apr 19th is aka Feb 78th but e Day is Feb 71st (or 72nd if you round up). Looking forward to that video!

Feels like a Maths Jam.

awesome