newton and other mathematicians in the afterlife finding out that their methods for approximating pi are being used to find among us crewmate pixel art
never thought i'd hear anyone call the among us crewmates "amongi", was least expecting it to be said by a mathematician. but then this video popped up in my recommended! thank you matt.
I thought the way they hid amongi was really cool and clever. Not taking others' turf over, not vandalizing everything with mismatched colors or huge designs - just hanging out in the details, often only a shade or two off the predominant color around it. Cool stuff. And then, you know, a bunch of them just riding around in the Swedish community's Volvo. :D
Also, the among us beans are very small and extremely recognizable. You couldn't hide baby yoda in there like that. And everyone knows what the amongi look like, so the among us community is technically stupidly huge
The fact that if we found the among us in 2019 it would mean nothing to us, it would just be more random, but now we are going in manhunts to find the sacred amongi. I must say, I love it.
If someone wants to do a side by side, that would be awesome! I know it's probably the limitations of the animated cartoon being too detailed, but I just mostly could not really see it.
@@uHnodnarB Its a lot easier to see if you lower your resolution and move back from your screen. you want to lose track of the numbers and just see the brightness
what's ironic about the plural "amongi" is that if you were to expand it to "among i", the "I" is singular, whereas the "us" in the singular "amongus" is plural
I hope there will be a follow-up video about tiling with the Amongi patterns (both 4x4 and 4x5 work). Lots of interesting maths in there and it should be possible to write a program that converts any image into something consisting entirely of Amongi.
Some even say that the universe started when too many amongi tried to hide in the same spot, creating a critical mass starting the Big Bang, thus creating the beginning of time.
@@nenabydarkmist1636 I agree, Maths does sound better, but I just want to say that no one should think that "math" is short for "mathematic" without the s
I know that the normality of Pi hasn’t been proven, but assuming it is normal, then somewhere in the digits of Pi is this entire video. I don’t think the surprise was finding the Amongi, but rather, finding them so quickly. I don’t know enough probability to compute it, but would be curious to know if the first Amongus showed up *sooner* than *expected* or if it was right about where one would expect to find any arbitrary string of that length.
Presumably the probability of finding a certain number of pixels in a length of digits is 2^number of pixels. In the case of 16 pixels thats 1 in 65,000
@@morethejamesx39 That's assuming there's no "line wrapping". If there is, then it's 4 digits, followed by 8 digits (which can be any digit), followed by 4 specific, etc. Add to that the number of columns the picture can start in (4x4, in an 8-wide wrapping, can start in columns 0-3). Not terribly more complex, but still a thing.
The max resolution for this video is 1080p, so each frame has 1,080 x 1,920 = 2,073,600 pixels. Let's assume the video is 24fps. The video is 18 minutes and 3 seconds long. That's 1,083 seconds with 24 frames in each, making 25,992 frames. 25,992 x 2,073,600 = 53,897,011,200 pixels in the entire video. If we write pi in base n, where n is however many colours are possible for each pixel (I believe it's 256^3), then it would take around 2^53,897,011,200 digits to find this video. Is that right? Edit: Ryan McCampbell provides a much better solution below. You can just use the actual bits from the video file!
Assuming RGB, each pixel has 256^3 possible colours, but you can't just use base 256^3. For example, does 1 represent R1G0B0, or R0G1B0? But alternatively you can use three pairwise coprime numbers ≥256 (say 256, 257 and 259) and use chinese remainder theorem instead.
I absolutely love the image of a full grown adult going up to Matt Parker in public and going HEY YOU'RE MATT. THAT'S KINDA LIKE MATHS. OHMYGOD, _YOU_ DO MATHS! and he's like "......yup. Pretty crazy stuff" as he sprints away away to find pi in the rings of an oak tree somewhere. Edit: I also love that Matt gets a particularly mischievous smile when he knows that somewhere on earth, an American is typing a comment to tell him he said/spelled a word "wrong." (@11:36 for an example of said smile)
@@rosiefay7283 It depends on if it's entered our vocabulary as just "Among Us" or as that and "amongus." At the very least, "amogus" is in our vocabulary, and it becomes "amogi."
YES!!! As I wrote one of the first posts inviting everyone on r/math to make the Hilbert Curve, I SPECIFICALLY had it in mind that perhaps Matt Parker would notice and mention it in a video. This was one of the driving forces behind my nonstop commitment to helping create and maintain that Hilbert Curve :D
It's a shame it got taken over by the Ukraine stuff but understandable. Would be interesting to see if next time around we could get a sequence of Hilbert lengths permeating in the image over time. No idea how to coordinate that kind of effort though.
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"In Carl Sagan's novel Contact, the main character (Ellie Arroway) is told by an alien that certain megastructures in the universe were created by an unknown advanced intelligence that left messages embedded inside transcendental numbers. To check this, Arroway writes a program that computes the digits of ππ in several bases, and eventually finds that the base 11 representation of ππ contains a sequence of ones and zeros that, when properly aligned on a page, produce a circular pattern."
I used to love this idea. "Ooh, in *our* universe, circles are just the right kind of circles to make this value of pi!" But then I came to understand that pi is a natural result of numbers, that pops up in all sorts of places that have nothing to do with circles, and has nothing to do with the geometry of our universe. If your universe has integers, then it will have the same value for pi, and there's nothing that aliens or god could do about it.
@@tomnewsom9124 The point of the novel is that the advanced civilization discovered something so incomprehensible that they were able to edit the values of transcendental numbers
I think this references the fact that the first image of the golden disc is a circular pattern and it means "you have successfully deciphered the images"
Congrats on 1M subs! I first subscribed to your channel before you started posting regularly as Stand-up Maths, and there is NO ONE more deserving named Steve Mould or otherwise. Well done mate!
The concept of giving a gift that is a prime number of one's _own_ face, instead of the recipient's face, just makes me think of the Animal Crossing tradition of villagers giving you their own portraits as friendship gifts :P
Can we take a second to stop posting like-farming comments like these? Just say you appreciate his videos, you don't need to word it like everybody else should get in on it.
Matt, I recommend uploading "Steamed Hams but its Prime Numbers" to your secondary channel. It has a weirdly high chance of going viral. EDIT: he already did, and I should have checked.
" is too big to prove that it's prime. It has passed multiple primality tests, but it does look pretty sus." Can't wait for the first math paper using that phrase...
This video made me remember how much I loved your hair, it was truly beautiful. At this point I’m used to your lack of hair, but young Matt is still a huge nostalgia trip for me.
I just realized you achieved 1 Million Subscribers! I remember you having 998K last I checked. Congrats! I've always loved your content. I have high respect for mathematicians of culture who know how to convey messages to their audience in ways that can help teach very efficiently.
6:05 - The weird thing about Wally was his "evil counterpart" Odlaw was called Odlaw in the UK Saturday morning cartoon show - even though Yllaw is clearly the superior name.
@@DeJay7 There's a Wikipedia page for "Normal number". It's a characteristic of distribution of density of digits in whatever base the number is expressed. If it's a uniform density, i.e. every sequence of digits is just as likely as any other of the same length, then the number is normal. Edit: it is believed but not proved that pi is normal.
I was inspired by the amongi everywhere and made a perfectly tiling amongi pattern! Surprising how much fun comes from fiddling around with this stuff.
i like that nepeta is in shot for a couple seconds while the Hilbert curve is on-screen. it's been like a decade since it was relevant, and homestuck still pops up wherever i least expect it. Partly why i still have this as my profile picture- to give somebody else a mini heart attack when they realise HS did exist and wasn't just a fever dream.
@@SimonClarkstone While he's trying to scroll to the Hilbert Curve right at the start of the video, Nepeta is in frame. You might have missed it because the curve is on the bottom left and Nepeta is on the middle right. I don't think that specific pixel art is from the comic itself, though.
The real question is what is the longest string people can find in Pi which corresponds with the start of Pi, needing to be offset by at least one digit. Theoretically you should be able to find Pi to any precision further down the digits of Pi (e.g. 3141 appears 4 other times in the first million digits of Pi). So how good of an approximation to Pi can you find within Pi...? π
15:57 It seems this is one of the few cases where having bad eyesight comes as a benefit. The prime-pixelated pictures and videos look much better with blurry vision!
Couldn't that "find image X in pi" be done rather easily by cross correlation? I mean that can be done rather easily and efficiently with FFTs and it would allow for non-exact matches. In fact if you are using digits as greyscale images, it would even find versions that look similar.
Thank you for pointing us out, Matt! Us over at r/Math had such a great time with the event! It was hard to fight off the large streamers but we were there until the very end! I led most of the design of the piece
If you look at the area Matt points out at 2:17 on the video, in the area where Matt sees 2 "amongi", I see *7* amongi that are simply lacking 1 or 2 pixels, just in that blue patch, and a couple more in the adjacent (and smaller) orange patch, and I imagine we could find more elsewhere in the larger picture, and at other times.
As someone who was part of both r/placeukraine and r/math, I helped blend the bottom of the Hilbert curve with the yellow lettering as an initial compromise between the two overlapping communities. Nice to see it featured in this video at 1:18. It may have been for the best that r/math move elsewhere though; the new rainbow Hilbert curve and other symbols looked way more interesting, while also freeing up space on the Ukrainian flag.
Just a few random musings on attempting to find Wally/Waldo in the digits of pi: Create grids of pixels that look like the letters in Wally/Waldo names, letting Pi be the arbitrator of which is correct. Using Pi as an endlessly long list of characters that can then be translated into letters (taking 00, or 01 and assigning that to A) and then searching for the first time that you manage to find all five "letters" in the correct order. Have each number represent a number of pixels in a specific 1x9 grid of pixels, and then draw Wally in a 9xY grid, then find a set that matches the value (this ones a stretch, but seems most likely to work quickly) Reverse the process, find Pi in Wally, using programs that can convert images (or sections of images) into "random" numbers, find a Where's Wally Picture or section of picture containing Wally that can provide you with at least the first 3 consecutive digits of Pi (3.14, no dropping the 3) since there are a finite number of Where's Wally images, you could probably also have images compete to find the longest chain of Pi digits.
You should know that if you have to preface a joke with a warning or criticism about the joke, such as "here's a totally original and definetly not overused joke", you should probably not make the joke at all. What's the point of making overused jokes? You can be funnier than this
Hey, Matt! A Hilbert Curve did indeed survive through the entirety of r/place on the right upper quadrant of the page! It's also rainbow, so I think it's a significant upgrade.
@@proloycodes a social experiment where all reddit users could place one pixel on a massive canvas every few minutes. there were many politics involved.
It gets better than just that - next to the Hilbert curve, people drew the symbol phi, the first few digits of pi, Euler's identity, an icosahedron, and some gliders from Conway's Game of Life colored to match the 3Blue1Brown logo.
I remember friends collectively telling me at high-school that “math” was wrong and “maths” was correct. We were all Australians in Australia. idk how I originally came to a different understanding than the rest of them
Probably because you were correct and they were wrong - for example, some of you may have gone to an economics class in college, correctly referring to it as "econ", but none of you went to "econs".
@@GODDAMNLETMEJOIN You're half right. Statistics can also be a mass noun, and that's how @justforplaylists used it. When you take a course in statistics, the course is about a field. It's not about a countable number of data.
Not sure about the grammar of "Amongi". As a representative of the Among Us community, I say we prefer the more memeified singular "Amogus", and the greek plural suffix resulting in "Amogae".
A less-cheatingy way of finding Walter (I'm compromising between the Wally/Waldo camps, it's 3 away from both) is to have strings of 24 binary digits represent a single RGB pixel, then you can have a function that allows for colors to be a certain percentage "off" from the original. I still don't think you'll find him even if you try all the possible wrappings, but it's worth a shot
I'm new to the game of math and I'm loving it. I just finished calculus and I just wanted to let you know that from now on I am changing all my why questions to f(x) questions. Just thought you should know.
I loved discovering the Levenshtein algorithm, when processing legally available voter data (which I was legally permitted to ask for) compared with a pre-existing electoral register at the time from around the same time - but honorifics and titles, and middle initials, were all being handled differently. So I ended up writing my own tool in C++ (my day job toolchain). I pity anyone else matching such data without coding skills :-(. Matt, this was Waverley data ;-)
I'd assume that on average you will find it after a distance of 2^(number of pixels), then to get 99% it's not much more difficult, probably 7 ((1/2)^7=~0.01) times that distance. Only an intuition, havent done the maths.
@@4P5MC if the chances of a pattern not appearing in a sequence of n digits is about 1/2, then the chances of that pattern not appearing in nk digits is about 1/2^k. So if k=7 then there is about a 1% chance that the pattern will not appear
Pi recursion - what is the longest series of digits of pi you can find within the digits of pi, after the first digit? Eg: 3.1415926535 after the first digit, we can find "3" at 9th position, but it fails after that, so we've got a series of length 1. At around the 140th digit of pi, we can find a series of length 2 in 223172.
Math actually managed to create their own design in the end, I can't remember the coordinates* but it is near the spanish flag on the upper-right section of the canvas. Ironically not far from Wally/Waldo *EDIT: I had to look it up and it is around 1655, 303
I was with a community that tried to make the 3blue1brown logo, we failed multiple times but at the end we managed to color the four gliders with the 3b1b colors :)
It nearly got consumed by that spanish flag. Fortunately /r/math made an alliance with the My Little Pony people, who had an alliance with rainbow road. When the Spanish group tried to take over math, the MLP people directed their botnet towards repairing and defending the Hilbert curve, while rainbow road counter-attacked the Spanish streamer. Turns out a lot of bronies are math nerds.
I shared this with my calc professor, there were his thoughts: "This guy likes math a little too much…😆 I am sharing [this video] with two math majors. We played Among Us in class once (I had no clue about the game) and now I can look back and see there was so much math to do it. So that day wasn’t totally wasted. "
@1996Pinocchio it was a joke about a character from a tv series called Breaking Bad. His name is walter White He is a chemistry professor who started producing drugs in the RV(recreational vehicle). It is a reaccuring meme just like among us.
newton and other mathematicians in the afterlife finding out that their methods for approximating pi are being used to find among us crewmate pixel art
true lol
Omicron gaming #### YOU
@@kikc ##### YOU TOO
@@kikc *^*& YOU
OMEGA YOU ARE USELESS
matt parker's transformation from "mathematician" into "maths-based shitposter" happened so slowly yet so obviously
And it all began with a humble Square
based
The good'ol shitpole moving, aka boil the pepe slowly.
@@DPedroBoh That drip. Teach me
And I love it
you didn't have to do this matt
If he didn’t do it, who else would? ;-)
He didnot have to but he wanted to do it!
Because the math isn't sus.
Or is it? _(Vsauce music starts playing)_
@@goodboi42 This is nice! (In a Russian accent)
This didn't have to exist
I'm completely sure that Matt will be the first VTuber that uses prime numbers instead of an avatar
If that is he emerges on the "VTuber" space.
@@danthiel8623where’s my anime man explaining math??
He'll have a parker square for a head
never thought i'd hear anyone call the among us crewmates "amongi", was least expecting it to be said by a mathematician. but then this video popped up in my recommended! thank you matt.
I thought the way they hid amongi was really cool and clever. Not taking others' turf over, not vandalizing everything with mismatched colors or huge designs - just hanging out in the details, often only a shade or two off the predominant color around it. Cool stuff.
And then, you know, a bunch of them just riding around in the Swedish community's Volvo. :D
Also, the among us beans are very small and extremely recognizable. You couldn't hide baby yoda in there like that. And everyone knows what the amongi look like, so the among us community is technically stupidly huge
Probably a lot of natural selection or survival bias in there though. Anything that wasn't subtle would be quickly reverted.
They even do a really good job of adding texture in places. I can't help but love it
@@iurifrazao454 I must note that explaining natural selection with r/place amongi is peak 2020's internet
@@iurifrazao454 not only that there was a lot of diplomacy with communities that allowed the Amongi in their art as long as it wasn't disruptive.
The fact that if we found the among us in 2019 it would mean nothing to us, it would just be more random, but now we are going in manhunts to find the sacred amongi. I must say, I love it.
I've heard of priming of an individual, this is more like priming the whole society.
@@muche6321 we live in a susiety
@@Nugcon the whole world, i guess - sus edition
Im proud to have played among us before it was famous
@@gallium-gonzollium Interesting to see you here. lol
I certainly wasn't expecting "steamed hams but the frames are sections of prime numbers", but I'm very glad to have experienced it!
Even better, each frame was a whole prime number, not just a section.
If someone wants to do a side by side, that would be awesome! I know it's probably the limitations of the animated cartoon being too detailed, but I just mostly could not really see it.
@@uHnodnarB Its a lot easier to see if you lower your resolution and move back from your screen. you want to lose track of the numbers and just see the brightness
what's ironic about the plural "amongi" is that if you were to expand it to "among i", the "I" is singular, whereas the "us" in the singular "amongus" is plural
So in a sense the plural of Among Us is Amongi, and the plural of amongi is Among Us
@@fahrenheit2101 it's a catch 22
Grammatically that would have to be "among me" since its us and not we
I hope there will be a follow-up video about tiling with the Amongi patterns (both 4x4 and 4x5 work). Lots of interesting maths in there and it should be possible to write a program that converts any image into something consisting entirely of Amongi.
For every "Among I" you pointed out, three others were hiding in plain sight ^^
amongi is the plural
@@MichaelDarrow-tr1mn Yes. Yes it is.
This proves that Math and Amongus go hand in hand since the beginning of time itself.
As Matt very rightly says, its Maths, not Math
@@nenabydarkmist1636 why?
@@Periwinkleaccount Because Maths isn't singular, its a vast area, and shortened from Mathematics, not mathematic.
Some even say that the universe started when too many amongi tried to hide in the same spot, creating a critical mass starting the Big Bang, thus creating the beginning of time.
@@nenabydarkmist1636 I agree, Maths does sound better, but I just want to say that no one should think that "math" is short for "mathematic" without the s
I know that the normality of Pi hasn’t been proven, but assuming it is normal, then somewhere in the digits of Pi is this entire video. I don’t think the surprise was finding the Amongi, but rather, finding them so quickly. I don’t know enough probability to compute it, but would be curious to know if the first Amongus showed up *sooner* than *expected* or if it was right about where one would expect to find any arbitrary string of that length.
Presumably the probability of finding a certain number of pixels in a length of digits is 2^number of pixels. In the case of 16 pixels thats 1 in 65,000
@@morethejamesx39 That's assuming there's no "line wrapping". If there is, then it's 4 digits, followed by 8 digits (which can be any digit), followed by 4 specific, etc. Add to that the number of columns the picture can start in (4x4, in an 8-wide wrapping, can start in columns 0-3). Not terribly more complex, but still a thing.
The max resolution for this video is 1080p, so each frame has 1,080 x 1,920 = 2,073,600 pixels. Let's assume the video is 24fps. The video is 18 minutes and 3 seconds long. That's 1,083 seconds with 24 frames in each, making 25,992 frames. 25,992 x 2,073,600 = 53,897,011,200 pixels in the entire video. If we write pi in base n, where n is however many colours are possible for each pixel (I believe it's 256^3), then it would take around 2^53,897,011,200 digits to find this video. Is that right?
Edit: Ryan McCampbell provides a much better solution below. You can just use the actual bits from the video file!
@@alimanski7941 Ah yes more complex than I thought. But makes it more likely nonetheless
Assuming RGB, each pixel has 256^3 possible colours, but you can't just use base 256^3. For example, does 1 represent R1G0B0, or R0G1B0? But alternatively you can use three pairwise coprime numbers ≥256 (say 256, 257 and 259) and use chinese remainder theorem instead.
I absolutely love the image of a full grown adult going up to Matt Parker in public and going HEY YOU'RE MATT. THAT'S KINDA LIKE MATHS. OHMYGOD, _YOU_ DO MATHS! and he's like "......yup. Pretty crazy stuff" as he sprints away away to find pi in the rings of an oak tree somewhere.
Edit: I also love that Matt gets a particularly mischievous smile when he knows that somewhere on earth, an American is typing a comment to tell him he said/spelled a word "wrong." (@11:36 for an example of said smile)
I appreciate Matt's efforts to appeal to the kids. It's charming in a way.
He used to be a school teacher
Efforts are definitely working
IM AN ADULT.
Amongi just entered my lexicon and I hate it. Thank you.
You just forgot an important word though. Vocabulary is a queue.
There's fungi amongi!
@@Yakushii How do you mean that?
@@rosiefay7283 It depends on if it's entered our vocabulary as just "Among Us" or as that and "amongus." At the very least, "amogus" is in our vocabulary, and it becomes "amogi."
Check this: Among u-sus
Get it? Among uses Among U-ses... Among u-sus
Oh, now you've just GOT to rickroll someone with primes.
I submit that we call it a Prickroll.
How does this comment not have more likes!?!
YES!!! As I wrote one of the first posts inviting everyone on r/math to make the Hilbert Curve, I SPECIFICALLY had it in mind that perhaps Matt Parker would notice and mention it in a video. This was one of the driving forces behind my nonstop commitment to helping create and maintain that Hilbert Curve :D
You've done the world a great service. I salute your efforts!
Now I feel bad for turning pi 3.19
It's a shame it got taken over by the Ukraine stuff but understandable. Would be interesting to see if next time around we could get a sequence of Hilbert lengths permeating in the image over time. No idea how to coordinate that kind of effort though.
I'm genuinely enjoying how over time you've become more and more open about your love of making sh*tposts
OH MY GOD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD THE SILLY LITTLE CREWMATE GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD
Ireland and Iceland are 1 hamming distance away from each other, which means that 1 hamming distance is approximately equal to 1.4k kilometers.
Iraq and Iran say otherwise
Ah, but Florida and Georgia have a distance of 0km, and a hamming distance of 4
1,4 megameters
"In Carl Sagan's novel Contact, the main character (Ellie Arroway) is told by an alien that certain megastructures in the universe were created by an unknown advanced intelligence that left messages embedded inside transcendental numbers. To check this, Arroway writes a program that computes the digits of ππ in several bases, and eventually finds that the base 11 representation of ππ contains a sequence of ones and zeros that, when properly aligned on a page, produce a circular pattern."
Now lets fold it up to get some 3d structures, to finally build some spaceship or portal or something.
I used to love this idea. "Ooh, in *our* universe, circles are just the right kind of circles to make this value of pi!" But then I came to understand that pi is a natural result of numbers, that pops up in all sorts of places that have nothing to do with circles, and has nothing to do with the geometry of our universe. If your universe has integers, then it will have the same value for pi, and there's nothing that aliens or god could do about it.
gotta love how you can find any pattern you want in random noise if youre willing to go through enough of it^^
@@tomnewsom9124 The point of the novel is that the advanced civilization discovered something so incomprehensible that they were able to edit the values of transcendental numbers
I think this references the fact that the first image of the golden disc is a circular pattern and it means "you have successfully deciphered the images"
I didn't know I needed a Matt Parker version of Steamed Hams, but my life feels a bit fuller now.
same
Congrats on 1M subs! I first subscribed to your channel before you started posting regularly as Stand-up Maths, and there is NO ONE more deserving named Steve Mould or otherwise. Well done mate!
Congratulations on 1M subscribers!
The concept of giving a gift that is a prime number of one's _own_ face, instead of the recipient's face, just makes me think of the Animal Crossing tradition of villagers giving you their own portraits as friendship gifts :P
Matt's outrageous creativity is super entertaining
Aren't you a White Supremacist 🤔
Suspiciously low view count
woah Verlis into maths ?!
ok fury cutter on venusaur
Love your vids bro
That program is gonna do wonders for the DMCA avoidance scene on youtube ;D Watch all your favorite movies in their prime quality.
I think the like I gave you was the most reluctant like I have ever given to anyone.
You could hide a video inside other videos but UA-cam's recompression and Transcoding will throw away that data.
Brings a whole new meaning to Amazon Prime Video.
This channel is just so lovely
Can we take a second to appreciate how wholesome, how funny, and how much fun Matt’s videos are
I do this every day at my Matt Parker shrine.
Can we take a second to stop posting like-farming comments like these? Just say you appreciate his videos, you don't need to word it like everybody else should get in on it.
@@Yakushii pp
@@Yakushii the
not to me, because he did not turn on CC, and i have difficulty hearing.
Matt, I recommend uploading "Steamed Hams but its Prime Numbers" to your secondary channel. It has a weirdly high chance of going viral.
EDIT: he already did, and I should have checked.
It wa posted prior to this
don't put it on youtube for free... amazon prime video will pay for it.
@@Rosa-lv8yw it was a joke... amazon's prime video service hosting a video of primes.... comedy gold.
Among us is hiding in maths itself, will we ever escape?
Escaping would make us sus
Wonder if we could escape by venting 😳
" is too big to prove that it's prime. It has passed multiple primality tests, but it does look pretty sus."
Can't wait for the first math paper using that phrase...
This video made me remember how much I loved your hair, it was truly beautiful. At this point I’m used to your lack of hair, but young Matt is still a huge nostalgia trip for me.
I just realized you achieved 1 Million Subscribers! I remember you having 998K last I checked. Congrats!
I've always loved your content. I have high respect for mathematicians of culture who know how to convey messages to their audience in ways that can help teach very efficiently.
6:05 - The weird thing about Wally was his "evil counterpart" Odlaw was called Odlaw in the UK Saturday morning cartoon show - even though Yllaw is clearly the superior name.
And pass on the “odd law” wordplay?? No thanks!
@@bernardopicao267 is "odd law" really better than "ill law"?
oh my god how have i not noticed that yet
@@muche6321 no
Of course they couldn't get it right. "Live" is "evil" backwards.
If Pi is a normal number then there are infinitely many Amongi.
First of all, yes there are
Second of all, what do you mean mormal? It'a transcendental if you wanna know.
@@DeJay7 There's a Wikipedia page for "Normal number". It's a characteristic of distribution of density of digits in whatever base the number is expressed. If it's a uniform density, i.e. every sequence of digits is just as likely as any other of the same length, then the number is normal.
Edit: it is believed but not proved that pi is normal.
@@jonathanrichards593 If so, yeah π is normal. It is mostly NOT biased.
@@DeJay7 Well then go and claim your field medal!
It's an open problem so don't claim things you don't know
Exercise to the reader: _Find all of them_
I was inspired by the amongi everywhere and made a perfectly tiling amongi pattern! Surprising how much fun comes from fiddling around with this stuff.
i like that the pixel pi contains an isometric transformation of amongus lolol
“amongi” is not something I expected to hear from Stand-Up Maths of all people
when the circle constant is INFINITELY sus!!!!!
i like that nepeta is in shot for a couple seconds while the Hilbert curve is on-screen.
it's been like a decade since it was relevant, and homestuck still pops up wherever i least expect it. Partly why i still have this as my profile picture- to give somebody else a mini heart attack when they realise HS did exist and wasn't just a fever dream.
I don't recognise that image from Homestuck. Which part is it from?
i still have no clue what homestuck was. I've obviously heard of it, but still no clue.
@@SimonClarkstone While he's trying to scroll to the Hilbert Curve right at the start of the video, Nepeta is in frame. You might have missed it because the curve is on the bottom left and Nepeta is on the middle right.
I don't think that specific pixel art is from the comic itself, though.
I meant why is Markus's profile picture from Homestuck?
@@SimonClarkstone Oh, yeah. Well, I'm not too sure of that myself, but I *think* it might be the mark on the foreheads of the Imperial Drones.
You just opened a new category in psychology: numeropareidolia.
The real question is what is the longest string people can find in Pi which corresponds with the start of Pi, needing to be offset by at least one digit. Theoretically you should be able to find Pi to any precision further down the digits of Pi (e.g. 3141 appears 4 other times in the first million digits of Pi). So how good of an approximation to Pi can you find within Pi...? π
2:47 missed the perfect opportunity to say "hiding amongi among us"
7:38 hold on that one's standing next to a π
15:57 It seems this is one of the few cases where having bad eyesight comes as a benefit. The prime-pixelated pictures and videos look much better with blurry vision!
Interesting. I took my specs off to see. Explore this more?
8:57 Yes, the pi here is made of pi
Congrats on one million subscribers!!!
Grats on 1 Mill Subs!
I appreciate the extra effort in these Vids
16:48 Steamed Primes
What if the image you need to find is rotated? Would there any new findings in the digits?
Absolutely there would. But I'm not going to prove it. Because I don't want to.
@@Yakushii Thanks for your contribution lol
@@Yakushii Q.E.D.
I mean my logic would be that you'd be 4x more likely to find that picture, but I don't know, maybe it's to the power of four or something
@@Yakushii quod erat demonstrandum! lol
Couldn't that "find image X in pi" be done rather easily by cross correlation? I mean that can be done rather easily and efficiently with FFTs and it would allow for non-exact matches. In fact if you are using digits as greyscale images, it would even find versions that look similar.
For the 4*4 that's okay, will get very messy if you allow noise around the target image / different wrapping.
Thank you for pointing us out, Matt! Us over at r/Math had such a great time with the event! It was hard to fight off the large streamers but we were there until the very end! I led most of the design of the piece
2:41 there’s another among I in the right of the tree
And another at the top of the log part to the left
If you look at the area Matt points out at 2:17 on the video, in the area where Matt sees 2 "amongi", I see *7* amongi that are simply lacking 1 or 2 pixels, just in that blue patch, and a couple more in the adjacent (and smaller) orange patch, and I imagine we could find more elsewhere in the larger picture, and at other times.
Go to r/place, find the yellow lemon, zoom in. There's a thousand.
3:40 they hide… among us
r/place was my life for 3 days, I'm so glad to see a fellow nerd be sniped!
As someone who was part of both r/placeukraine and r/math, I helped blend the bottom of the Hilbert curve with the yellow lettering as an initial compromise between the two overlapping communities. Nice to see it featured in this video at 1:18. It may have been for the best that r/math move elsewhere though; the new rainbow Hilbert curve and other symbols looked way more interesting, while also freeing up space on the Ukrainian flag.
Just a few random musings on attempting to find Wally/Waldo in the digits of pi:
Create grids of pixels that look like the letters in Wally/Waldo names, letting Pi be the arbitrator of which is correct.
Using Pi as an endlessly long list of characters that can then be translated into letters (taking 00, or 01 and assigning that to A) and then searching for the first time that you manage to find all five "letters" in the correct order.
Have each number represent a number of pixels in a specific 1x9 grid of pixels, and then draw Wally in a 9xY grid, then find a set that matches the value (this ones a stretch, but seems most likely to work quickly)
Reverse the process, find Pi in Wally, using programs that can convert images (or sections of images) into "random" numbers, find a Where's Wally Picture or section of picture containing Wally that can provide you with at least the first 3 consecutive digits of Pi (3.14, no dropping the 3) since there are a finite number of Where's Wally images, you could probably also have images compete to find the longest chain of Pi digits.
Fun fact: in the German speaking countries Wally/Waldo is called Walter
JESSE
WHERE IS THE COCAINER
in Japan he's called za Warudo
In french that's Charly :shrug:
Fun fact: there's no original French word starting with W.
That's not Wally's right eye.
That's a pokemon, Unown. Even Pi, if you look hard enough, knows about pokemon
here's a totally original and definetly not overused joke.
when the pi is sus!!!!😳😳
when the transcendental constant characterizing circular curvature is sus
Along with a definitely overly misspelled word! ;)
You should know that if you have to preface a joke with a warning or criticism about the joke, such as "here's a totally original and definetly not overused joke", you should probably not make the joke at all. What's the point of making overused jokes? You can be funnier than this
sus*pi*cious
Amogus is one of those memes where the joke is specifically the fact that the joke is overused
I love how everyone just agreed amongus in plural is amongi
"amongi" is now the official plural of "among us" now
Hey, Matt! A Hilbert Curve did indeed survive through the entirety of r/place on the right upper quadrant of the page! It's also rainbow, so I think it's a significant upgrade.
what is r/place?
@@proloycodes a social experiment where all reddit users could place one pixel on a massive canvas every few minutes. there were many politics involved.
@@KlineStife wow nice, thanks!
It gets better than just that - next to the Hilbert curve, people drew the symbol phi, the first few digits of pi, Euler's identity, an icosahedron, and some gliders from Conway's Game of Life colored to match the 3Blue1Brown logo.
@@vigilantcosmicpenguin8721 oh nice,I didn't see all that!
I remember friends collectively telling me at high-school that “math” was wrong and “maths” was correct.
We were all Australians in Australia.
idk how I originally came to a different understanding than the rest of them
Probably because you were correct and they were wrong - for example, some of you may have gone to an economics class in college, correctly referring to it as "econ", but none of you went to "econs".
@@justforplaylists Ooo, I know this one! I took a stat class! "Stat".
Mathematics is a mass noun and statistics is a count noun.
@@GODDAMNLETMEJOIN You're half right. Statistics can also be a mass noun, and that's how @justforplaylists used it. When you take a course in statistics, the course is about a field. It's not about a countable number of data.
where does Arithmetic fit into this equation? See what I did there? eh? eh? nudge nudge wink wink
Not sure about the grammar of "Amongi". As a representative of the Among Us community, I say we prefer the more memeified singular "Amogus", and the greek plural suffix resulting in "Amogae".
Latin plural turns -us to -i, so something like magus-magi, cactus-cacti. So amongus-amongi
"Wally everywhere else"
Well, it's Walter in germany :)
Loving the podcast since you mentioned it on your last video. Also enjoying a question squared as welll.
11:25 my friend and I regularly refer to you as "Maths Parker" when discussing your videos.
I had to google Amongi before watching this video and had a great laugh at the thought you found Betty Amongi in Pi 😂
A less-cheatingy way of finding Walter (I'm compromising between the Wally/Waldo camps, it's 3 away from both) is to have strings of 24 binary digits represent a single RGB pixel, then you can have a function that allows for colors to be a certain percentage "off" from the original. I still don't think you'll find him even if you try all the possible wrappings, but it's worth a shot
We wish you a merry Amogi Pi thingy!,We wish you a merry Amogi Pi thingy!,We wish you a merry Amogi Pi thingy! And a happy New Amogi!
I'm new to the game of math and I'm loving it. I just finished calculus and I just wanted to let you know that from now on I am changing all my why questions to f(x) questions. Just thought you should know.
I loved discovering the Levenshtein algorithm, when processing legally available voter data (which I was legally permitted to ask for) compared with a pre-existing electoral register at the time from around the same time - but honorifics and titles, and middle initials, were all being handled differently. So I ended up writing my own tool in C++ (my day job toolchain). I pity anyone else matching such data without coding skills :-(. Matt, this was Waverley data ;-)
It's not just Wally or Waldo. Each language had the name localized, although many are Wally or the closest approximation. Here's the list from wikipedia:
Afrikaans: Willie
American English: Waldo
Arabic: فضولي (Fuḍūlī)
Bulgarian: Уоли (Uoli)
Catalan: Wally
Chinese: 威利
Cantonese pronunciation: Wai lei
Mandarin pronunciation: Wēilì
Croatian: Jura
Czech: Valdík
Danish: Holger
Dutch: Wally
Egyptian Arabic: شلبي (shalabee)
Estonian: Volli
Finnish: Vallu
French: Charlie
Galician: Wally
German: Walter
Georgian: ვოლი (Voli)
Greek: Γουόλι (Gouόli)
Hebrew: אפי (Efi)
Hindi: हेट्टी (Heṭṭi)
Hungarian: Vili
Icelandic: Valli
Italian: Ubaldo, Wally
Japanese: ウォーリー (Wōrī)
Korean: 월리 (Walli)
Lithuanian: Jonas
Norwegian: Willy
Polish: Wally
Portuguese: Wally
Romanian: Wally
Russian: Уолли (Uolli)
Serbian: Гиле (Gile)
Spanish: Wally
Swedish: Waldo, Valle, Hugo
Turkish: Ali, Gezgin Veli
Welsh: Wali
I cringed a little when he said "Waldo in America, Wally everywhere else"
Lithuania 💀
charlie 🤣
_Amongus amongi_
Kingdom: Fungi
Division: Amongomycota
Order: Amongales
Family: Amongomyceae
I love the idea of using "amongi" as a plural of amongus
loving this edition of finding amongi among pi
Question: In up to what number of digits of pi would we expect any fixed pattern of fixed size, with a certainty of 90%, 95%, or 99%?
I'd assume that on average you will find it after a distance of 2^(number of pixels), then to get 99% it's not much more difficult, probably 7 ((1/2)^7=~0.01) times that distance. Only an intuition, havent done the maths.
@@leodarkk Why 7?
@@takotime Indeed, but that is the most likely hypothesis unless proven otherwise :)
@@4P5MC if the chances of a pattern not appearing in a sequence of n digits is about 1/2, then the chances of that pattern not appearing in nk digits is about 1/2^k. So if k=7 then there is about a 1% chance that the pattern will not appear
@@leodarkk but then your method is not a proof. It's like using the Riemann hypothesis as if it were true.
When the circle constant is mistrustful 🤔
when the τ/2 is dubious
When the arccos(-1) is clandestine.
when the radians of 180° is questionable
13:40 so he found Waldo AND minecraft bedrock
Congrats on 1 million subs!
Pi recursion - what is the longest series of digits of pi you can find within the digits of pi, after the first digit? Eg: 3.1415926535 after the first digit, we can find "3" at 9th position, but it fails after
that, so we've got a series of length 1. At around the 140th digit of pi, we can find a series of length 2 in 223172.
Math actually managed to create their own design in the end, I can't remember the coordinates* but it is near the spanish flag on the upper-right section of the canvas. Ironically not far from Wally/Waldo
*EDIT: I had to look it up and it is around 1655, 303
I was with a community that tried to make the 3blue1brown logo, we failed multiple times but at the end we managed to color the four gliders with the 3b1b colors :)
Glad someone mentioned that we did succeed in placing (ha!) it in the end. I had helped r/math organize for the event and it was really fun.
I placed most of my 150~ tiles there
Shout-out to my math place comrades. I spent many hours that week correcting the digits of pi.
It nearly got consumed by that spanish flag. Fortunately /r/math made an alliance with the My Little Pony people, who had an alliance with rainbow road. When the Spanish group tried to take over math, the MLP people directed their botnet towards repairing and defending the Hilbert curve, while rainbow road counter-attacked the Spanish streamer.
Turns out a lot of bronies are math nerds.
14:59 Matt was a good looking guy in his prime 🤣.
Hey, that hilbert curve survived by moving. It's over in the first expansion area. By the rainbow road section, underneath the pony faces.
This was fantastic ☺️ this tickled all of my giggity buttons... Thank you again Matt!
CONGRATULATIONS ON 1 MILLION MATT
You are walking a fine line here Matt. You can still turn around.
I think the problem with fine lines is that it's hard to turn around on them.
May I offer "thin ice" as a substitute analogy?
fine lines are sus
Actually, the formal name for crewmates is "Amogi" (!).
can't believe that for a full eighteen minutes and three seconds you didn't once say "amongi among pi"
I hold you personally responsible for my amogus relapse Matt
congrats for 1 million subs!
Why steamed ham? You could've rickroll'd us all at that point!
I shared this with my calc professor, there were his thoughts:
"This guy likes math a little too much…😆
I am sharing [this video] with two math majors. We played Among Us in class once (I had no clue about the game) and now I can look back and see there was so much math to do it. So that day wasn’t totally wasted. "
This is truly amazing
5:55 It's called "Wo ist Walter?" in german speaking countries.
Is he bald and have RV?
I don't know what RV means, but he looks identical to the version shown in the video. You can also just google "wo ist walter?"
@1996Pinocchio it was a joke about a character from a tv series called Breaking Bad. His name is walter White
He is a chemistry professor who started producing drugs in the RV(recreational vehicle).
It is a reaccuring meme just like among us.
Congrats on 1 mil!
Pi contains references to all future memes.