25 Math explainers you may enjoy | SoME3 results
Playlist of all entries: • Summer of Math Exposit...
All non-video entries: some.3b1b.co/non-videos
Thank you to Jane Street, both for funding the event, and providing eager and able guest judges to the final stages of the process.
Organization and logistics were handled by James Schloss, aka @LeiosLabs
Web development by Frédéric Crozatier
0:00 - The event
1:34 - Pixel Art Anti-aliasing
2:26 - The Enola Gay
3:40 - Pitch shifter
4:14 - Cayley Graphs
4:51 - Longest Increasing Subsequence
5:49 - Matrix Arcade
6:37 - Watching Neural Networks Learn
7:18 - Functions are vectors
7:38 - The art of linear programming
8:13 - Backburner problems
9:24 - Affording a planet
9:56 - When can’t math be generalized
10:49 - Rotation + Translation = Rotation
11:33 - Rethinking the real line
12:16 - Egyptian volumes
13:05 - A circular motion quirk
13:40 - Minimal surfaces
14:47 - Computing logs
15:19 - Mediants
16:17 - The shadow game
16:43 - Chasing Fixed Points
17:24 - Representing numbers
18:11 - Mirror ball
18:34 - String art
19:36 - Infinity
20:52 - Thanks
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These animations on this channel largely made using a custom Python library, manim. See the FAQ comments here:
3b1b.co/faq#manim
github.com/3b1b/manim
github.com/ManimCommunity/manim/
All code for specific videos is visible here:
github.com/3b1b/videos/
The music is by Vincent Rubinetti.
www.vincentrubinetti.com
vincerubinetti.bandcamp.com/a...
open.spotify.com/album/1dVyjw...
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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on KZhead or otherwise following on whichever platform below you check most regularly.
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Winners (in no particular order) - The Mathematics of String Art: kzhead.info/sun/iquck61-nWiDeXA/bejne.html - Minimal Surfaces & the Calculus of Variations: kzhead.info/sun/a7d6ctSshouLiaM/bejne.html - Pixel Art Anti Aliasing: kzhead.info/sun/l5qtoJhrroyno6s/bejne.html - Rethinking the real line: kzhead.info/sun/qKqQetmSiH6Bfas/bejne.html - How Computers Use Numbers: mabi.land/numbers/ Honorable mentions (also in no particular order) - Escaping a Nuclear Explosion: how the Enola Gay survived: kzhead.info/sun/fKmsebytoF-PhnA/bejne.html - A Subtle Aspect of Circular Motion: kzhead.info/sun/dLBrc8ybbaKVfqM/bejne.html - Watching Neural Networks Learn: kzhead.info/sun/h8-wiMVveqicpXA/bejne.html - Mathematical Magic Mirrorball: kzhead.info/sun/pa6Je7h7m51jioE/bejne.html - How did the Ancient Egyptians find this volume without Algebra?: kzhead.info/sun/q9Goedavi6WQlZ8/bejne.html - Making a Pitch Shifter: kzhead.info/sun/g86EnLGQn6qqh4U/bejne.html - The Mosaic Problem - How and Why to do Math for Fun: kzhead.info/sun/d5edoJmKeZ-Glqs/bejne.html - When CAN'T Math Be Generalized?: kzhead.info/sun/ntatlpGuaGuKfZ8/bejne.html - Chasing Fixed Points: Greedy Gremlin's Trade-Off: kzhead.info/sun/pJygnsuXaZmkamg/bejne.html - What Happens If We Add Fractions Incorrectly?: kzhead.info/sun/Z8hvidaMgp-gmX0/bejne.html - Rotation + Translation = Rotation. Animated proof: kzhead.info/sun/ZKmpgdiOgZRmgo0/bejne.html - The Longest Increasing Subsequence: kzhead.info/sun/abujnraxkH6jgGw/bejne.html - How Infinity Works: kzhead.info/sun/ed6ufbeCi6upoJ8/bejne.html - Affording a Planet With Geometry: kzhead.info/sun/nbeSiJqohZGpdKs/bejne.html - The Art of Linear Programming: kzhead.info/sun/eJtrdLufgoKVZJE/bejne.html - Can you guess this shape from its shadows?: kzhead.info/sun/dtKhopqOmIOBn58/bejne.html - Matrix Arcade: yizhe-ang.github.io/matrix-explorable/ - Functions are Vectors: thenumb.at/Functions-are-Vectors/ - Cayley Graphs and Pretty Things: juliapoo.github.io/mathematics/2023/07/15/plotting-cayley-graphs.html - How does a computer/calculator compute logarithms?: zachartrand.github.io/SoME-3/
Thank you. I was looking for this
@@kumirei8715yes bro is a chad
I felt so cringe saying that lol
Yes, this is what was needed though for the early bird viewers perhaps post this sooner to save us 10 minutes of hunting around
@@gw6667Was it necessary for you to express your anger?
I imagine that SoME will almost single handedly increase the amount of undergrads becoming math majors. The effect of making math much more accessible and showing that math isnt just "solve for x" or "plug in the formula" is immeasurable.
A lot of SoME entries are helping me tackle the math side of computer science as I prepare to write an undergrad thesis. It really helps a lot in visualizing stuff I couldnt understand before.
SoME is genuinely one of the best things imo, it just means that every year there’s a *huge* influx in VERY high quality math stuff that I can enjoy a tom, and it just makes the quality of math explainers only go up and up and it’s fantastic
Absolutely.
but this is a self-made problem of math teachers that they have no idea how to teach their own subject well and interesting. its a problem for many sciences, actually.
If I had this when in high school, I probably would have concentrated more on math and not struggled so much in college. I wasn't aware that math could be used creatively until my first calculus class when getting my physics degree.
This is what a real "influencer" looks like! Creating a huge influx of math content for the public and motivating a large collection of individuals to attempt the learning and exploration necessary to submit a video. So grateful for 3b1b and this competition for pushing me outside my comfort zone!
Spot on.
Exactly! I have comparatively low math understanding, but I love this channel, the videos, and the community actively being built. 🎉
*Durvashnineya Puzzle Story* In a realm where mathematical mysteries intertwine with ancient treasures, the 15 guardians have concealed their puzzle pieces with probabilities and enigmatic patterns. To unlock the long-forgotten treasure, you must now navigate a web of probabilistic twists. Each guardian's piece is accompanied by a complex probability distribution linked to their unique abilities. As the story goes: - Vrishabhanujayanta, the first guardian, holds the key (1) within a distribution where P(X = 1) = 0.2, P(X = 2) = 0.5, and P(X = 3) = 0.3. - Ratnakusumakara, the librarian, offers a piece (2) tied to a Poisson distribution with a mean of λ = 2. - Chitravarnadhara, the artist, introduces a creative element with a piece (3) and a geometric distribution with p = 0.4. - Nagabhushana, the gem expert, guards his piece (4) with a uniform distribution between 1 and 7. - Vasantapushpadhara, the gardener, scatters his knowledge (5) according to an exponential distribution with a rate parameter of λ = 0.2. - Ashwabalaharana, the equestrian master, presents a challenge (6) within a normal distribution with mean μ = 6 and standard deviation σ = 2. - Saptashrungakanta, the mountain guardian, guards her piece (7) with a piecewise distribution: - P(X = 7) = 0.3 when X < 4, - P(X = 7) = 0.6 when 4
So grateful to have been chosen as a winner - thank you 3b1b and everyone! Congrats to the other winners and honorable mentions, and everyone else who contributed, so much cool content. It’s pretty awesome how amazing the KZhead math community is these days, I feel the community does so much for growing appreciation and interest for math.
Thank you for your amazing channel !!
yooo, I remember your multivariable calculus videos, they helped me out a lot, thank you and congratulations!
Thank you very much sir ❤
cool, so glad they helped!@@eterty8335
I had you as an instructor at U of T first year EngSci in 2013-2014. Happy for your success!
Thank you Grant and team for helping these videos come into the world! Excited to watch some of them
Hello always cool to see a youtuber you watch in another youtubers comment section
Hello!! Did you bring our 2d friend?
Its 4d
Please help *Durvashnineya Puzzle Story* In a realm where mathematical mysteries intertwine with ancient treasures, the 15 guardians have concealed their puzzle pieces with probabilities and enigmatic patterns. To unlock the long-forgotten treasure, you must now navigate a web of probabilistic twists. Each guardian's piece is accompanied by a complex probability distribution linked to their unique abilities. As the story goes: - Vrishabhanujayanta, the first guardian, holds the key (1) within a distribution where P(X = 1) = 0.2, P(X = 2) = 0.5, and P(X = 3) = 0.3. - Ratnakusumakara, the librarian, offers a piece (2) tied to a Poisson distribution with a mean of λ = 2. - Chitravarnadhara, the artist, introduces a creative element with a piece (3) and a geometric distribution with p = 0.4. - Nagabhushana, the gem expert, guards his piece (4) with a uniform distribution between 1 and 7. - Vasantapushpadhara, the gardener, scatters his knowledge (5) according to an exponential distribution with a rate parameter of λ = 0.2. - Ashwabalaharana, the equestrian master, presents a challenge (6) within a normal distribution with mean μ = 6 and standard deviation σ = 2. - Saptashrungakanta, the mountain guardian, guards her piece (7) with a piecewise distribution: - P(X = 7) = 0.3 when X < 4, - P(X = 7) = 0.6 when 4
I guess you can say "Entertainment will be *mathematically* generated"
SoME is such a great yearly event. It's always fun to be introduced to new math channels that got their start here, and all the high quality videos they make. Surely some of them have already grown significantly.
I absolutely LOVED “mate in omega, the great phenomenon of infinite chess” by naviary, amazingly cool stuff
oh yes that one was rad
I am honored to be selected and be part of a 3b1b video. Thanks so much to Grant and team for such a great event, and to all the reviewers and contributors to this event, we are all together in this joy of flooding the internet with math content. Grant and SoME has been the catalyst for so many of us, new creators, to be exposed to a huge audience
Thank you for all the great content the SoME series has generated. Over the summer, I visited several science museums with my kids, and many of them have a smattering of Astronomy, Dinosaurs, Geology and Minerals, etc. One museum even had a traveling exhibit of how Pixar movies are made. But I realized, I’ve never seen even a small math exhibit at any of the science, engineering, aviation, etc museums I’ve visited. I think there’s an opportunity to make a kid friendly math exhibit for a larger science museum.
There is a math museum in New York, and the exploratorium in SF has some good math-focussed exhibits. But on the whole, you're completely right, math seems to get the short shrift in these settings.
I didn’t know about those. I’ll check them out the next time I visit. Actually, I realized this at the Pixar exhibit when they briefly mentioned the math behind animation, and my kids were like, “Wait, there’s math in computer animation?!“ and I said yeah there’s math behind pretty much every part of all of the exhibits and every science museum we’ve ever been to they just take it out because I guess it’s boring or maybe not hands-on.
There is a really amazing math exhibit in Switzerland. It's part of a bigger science museum called "Technorama".
I went to a museum in Boston a few years ago that had one
There's a math section in "La cité des sciences" in Paris, some things are kid friendly and some more advanced, but I think there is opportunity for many more !
Thank you so, so, much for picking me as one of the winners! Congrats to everyone who participated, of course - the whole point of the competition wasn't really to win, after all. Indeed, participating in SoME3 has made me think about all kinds of competitions (hackathons, CTFs, math olympiads, etc.) differently: the point is not to win, but to make/do something cool, whether that be an app, a puzzle solution or a satisfying proof. If one person enjoys my entry, I'd consider myself a winner. Even if I don't end up submitting anything, the creative process itself is immensely satisfying to me, and can often inspire further ideas - which is why I'll be making a build system for creating interactive articles like mine ("How Computers Use Numbers"). And even if no one except me will use it, I'll be satisfied in that I'll have made something cool.
Thanks to all the partcipants, winners and non-winners. You all make an effort to communicate the beauty of mathmatics to the rest of the world.
Oh my! I never thought I’d say this, but it is so nice to be nominated! Thank you again Grant for running this contest and giving small channels like ours a place in the spotlight for a second. Congratulations to everyone!
Honestly, 3b1b has revolutionized math communication. I very sincerely see this project of 'math exposition summers' to be as radical and history-shaping as some groundbreaking events in history like the invention of printing. Especially since it is guided by Grant Sanderson's closest-to-perfect (but also plausible and intuitive) criteria for what makes a good explanation. I really hope Grant will write a book instructing and giving the best recipe for a (close to) perfect math explanation. This way I believe textbooks will really improve and I won't have to spend weeks trying to find a book whose explanation fits my guidelines. Just look at the submissions and you'll see what I mean. I really just can't stress enough my gratitude for 3b1b and how much of a grace it is. Thank you.
It was so fulfilling to participate this year. The energy of this community is beyond amazing ❤
I'm super impressed that you have already uploaded your entry, _Mathematical Magic Mirrorball,_ in multiple languages.
@@thefunpolice Many thanks! Still missed the deadlines I set for them^^ German one is already finished, but not uploaded yet and I still need to edit the Russian one...
Liebe Grüße aus Dresden 😁
@@GandalfTheGreatest Eyy, Grüße Zurück
@@GandalfTheGreatest Go ahead and tell us all what the anagram of "ginger" is. I'd be just fascinated to find out.
You motivated me to start creating videos for my students in Czech language. Unfortunately for that reason I cannot join the exposition but it's very interesting to see the work of others.
Thrilled to be announced as a winner to the some3 contest! Thanks so much for organising, Grant et al. It was also a delight to watch the other entries as well. Definitely a lot of gems in there. Im glad that there's room in youtube to carve out a space which isn't just cats playing piano.
Coming next year: "The math behind cats playing piano".
Many thanks to you and to the people who organize this SoME thing. It is always a pleasure to watch the entries.
Im so happy to be alive in the time where it is so motivated for people to make math-related content on KZhead, my enormous thanks to you, Grant, you’re making an enormous impact on KZhead and math.
Thank you so much for choosing me as an honorable mention! Also, thank you to all the judges, reviewers, and everyone organizing the competition. Without it, I probably would never have made a video and gotten started in this direction in the first place. I am sure this is also true for so many other participants!! Great job organizing the event!
Thank you for hosting this! It was a wonderful experience judging!
I've watched so many of these videos and I didn't even realize they were SoME3 submissions, they were some of my favorite math videos over the past year, so this is just great to see for them.
3b1b telling us about more maths channels? I'm in!
This is basically the equivalent of the Fields Medal for KZhead 😀 The real winners being viewers like me who find math interesting
I love how the contest leads to more great math videos. It’s really cool seeing a random video in my recommendations and only now realizing it was a SoME video!
Congrats to all the winners and honourable mentions. It was such a great experiences working for the entries.
Thank you for organizing this. I will now proceed to watch many creators that I never would have encountered! Really appreciate it! Thanks
Thank you for hosting this competition! I never expected to win tbh, I started by being curious what cayley graphs look like and making the tool, and then decided that whatever ill write some stuff abt it and submit. That's why it seems to lack motivation and goes all over the place, it's cuz i was simply documenting stuff I noticed when making the tool. I'm glad people enjoyed it regardless! I'm pretty blown away by the quality of the other submissions, almost like I don't belong in with the other winners. There's so much cool stuff made by others and I'm happy to be part of it this time.
Thank you Grant for continuing to make some of the absolute best content in this world. You bring beauty and understanding to so many complex and difficult subjects. And thanks to all the content creators that submitted entries for this contest. I will be checking out each and every one.
I watched quite a few of those and I very much appreciate the SoME in general - so many amazing explainers this summer!
i dont follow SoME too closely, but its always a delight to watch these recap videos and see mentions of various videos i had watched throughout the summer simply because they showed up in my recommended (and i end up loving them!) thank you for pushing this platform in such a positive direction, there are so many layers to it and you handle it in a remarkable way 💜
Thank you 3b1b team for making these math explainers possible. I genuinely wouldn't be here if you didn't exist, and I have now found my new best subject and can explain it intuitively, again thanks to you. Honestly you are a hero, and keep this up! Love to see what you all have to offer next year!
Thanks again for running this event! I always love seeing what people come up with. I'm a bit disappointed with my own results, but there were a lot of great explainers, so I can't be too upset.
The art of linear programming actually came up in my recommended videos this summer and I've had it on my Watch Later list! Haven't had a chance to watch it yet but glad to see this doing great work and generating some awesome content
I have watched enough of the summer of math videos, that the algorithm just randomly recommends some of the videos. So it is almost uncanny how many of these videos I have seen. Great work to everyone involved!
"... I imagine a lot of you are watching this video at 1.5x or 2x..." Damn, I did not expect to get called out like that.
I'm so happy SoME is a thing, it has brought me so much interesting knowledge. Some that I use but also some that I was just curious about. Thanks for making it a thing and thanks to all of the amazing contenders!
Much love for this channel and this amazing project. This year, I had already seen many of the videos on KZhead's recommendation and I'm glad to have been singled out in this way by the platform's algorithm. This is my idealized internet - like a virtual Oldenburg's third place - around this channel, a pretty nice community emerges.
Again this year I did not have time to actually look for the entries and vote on them. Still I have just ran into and watched many entries in my daily youtube recommendations. Every time so nice. Hope to contribute in some way next time!
Wooo! Gonna edit this because I just finished the video, but I have honestly never seen such an influx of educational content with a pure motivation to help people as I have from the SOME series. It really is cool, and besides all the 3B1B content that is put out this has really been a huge impact of this channel that you should be proud of.
A fantastic lineup this year! I've already seen a couple of these and loved them - time to check out the rest (that are within my mental reach, at least :)
Congratulations to all the winners. Amazing list of videos to binge watch during this weekend 😋
SoME is like a festival I eagerly await each year. Thanks a lot...
I was only mildly interested in following SoME this year. I clicked on this video expecting to spend 20 minutes skimming through a few of the highlighted works that seemed cool. Well, it's been two and a half hours and I've been on the edge of my seat. This content is fantastic.
Discovery fiction/how-was-this-process-put-together is genuinely one of my favorite formats for explanation videos. As someone who is enthralled by problem solving and generally pretty good at following along with that kind of stuff I find them incredibly engaging.
Congratulations to everyone! 🎊 And thank you for the "honourable honourable mention" at the very end, Grant!
I’m blown away by how many of these videos I watched and had no idea they were related to the SoME3. Grant, thank you for inspiring such a rich environment to grow and develop mathematical reasoning.
I really couldn't forget "Non-Euclidean Therapy for AI Trauma" I have watched recently. This style of analog horror is so memorable. Non-euclidian geometry is certanly not a good topic to try to understand in 10th grade, but it definetly was interesting to watch
Yeah, that one was an interesting combination of two style should wouldn’t normally mix (and that I’m both interested in). It’s debatable how well it handles both parts of it (or it just went over my head since it’s way deeper in the weeds of ML than I’ve gotten), but it’s still a good draw.
I was super impressed with that one bc it was also solid art as well as wonderful mathematics education
I loved this one too!
I think it should have gotten at least an honorable mention. All of these videos are fascinating, but that video *transfixed* me. Even though I still can't wrap my brain all the way around it 😂
Thankyou for soME 3b1b , its a wonderful idea, that hopefully introduces me to a lit of new ideas.Also thanks to all the wonderful creators who participated
I'm so grateful to have all this new math content to watch!
i've loved seeing random SoME3 submissions showing up organically on my youtube feed during the past few months. Lots of great submissions!
There's so much and so many math lessons on KZhead, I don't think I can possibly watch even a fraction of them. Thanks for the free education, Grant.
Excellent additions to the world of explaining math to the rest of us! 😃
I have already watched some of these great and really interesting videos, at least for me!.... Glad that you briefly reviewed them
This is the best side of the internet for sure. Thanks for organizing and thanks to all the participants.
It was really worth a lot to share these links with us. I am a curious fanatic. And amid so much low quality, I see that there are people really willing to show really interesting things. 😁👍
It's amazing how we have access to all this incredible content
Nice! There’s some topics I’ve been meaning to look into on here!
SoME was an incredible idea and I love how much content it has brought into the youtube environment
I hope a day comes when knowledge is free of cost. Thanks to all the contributors for presenting such complex topics in a fun intuitive way.
imo the when cant math be continued video needed a spotlight!
This is just brilliant. You've started a Math Revolution Grant!
C’est vraiment super intéressant de partager toutes ces bonnes vidéos. Merci beaucoup 😊
The calculus of variations is so so beautiful. I can't wait to watch that one. Arggg, not enough time to watch all of these beauties!
Awesome videos video. So many great entries. Plus: Aha! moment for me about the origin of the phrase "…on the back burner" :)
Oh God, finally I may see your face! Feels unreal after three months I've been watching your beautiful videos with only your voice. Thank you and greets from Russia!
Thank you soooo much for sharing these nuggets of knowledge. 👍😎🇦🇺
I love this video. I wish more communities would actively try to support channels trying to generate good content for their potential audience. Great breakdown on which you should watch. Accuracy of the information.
That is a lot of work review ing all the pieces, but also a great pleasure.
Congrats to the winners and mentions! I did get some positive feedback by entering. Thanks to those who watched. On to building artificial neurons. Perhaps I will try again next year!
I'm so glad this video exists, a lot of the math in there is useful for me
There was one about Minecraft piston extenders and I would highly recommend that one too! It has something for both math people and Minecraft people
Saw that one, too! Enjoyed a lot
Yeah, I saw it too ! Really like it when you apply math to a known thing and actually deduces things with it
I can't wait to see what these briilliant creators have made!
Wow, half these videos found their way to me organically through the Algorithm over the past several months. Didn't even realize I was watching contest submissions!
Thank you 3b1b, your beautiful work has helped us students worldwide :)
The video "Watching Neural Networks Learn" blew my mind and changed the way I think about the world, so I was glad to see it on this list
I'd already watched like half of these, as they were in my recommended. I guess KZhead knows what I like.
That Matrix arcade game looks great! Definitely checking it out
what a great asset to the community you are :D
Looking forward to this!
I've seen that one about the mediant/naive addition of fractions. Loved it! I tutor math K-12, and I've mentioned to one or two kids 'That's a different thing called a mediant.'
It's crazy how I knew the name of the aircraft that bombed hiroshima and nagasaki , and it was named after the pilot's mother because of watching KBC
Maybe I'll make a video for SoME4 about the math in my research! I'm so excited! Thank you Grant for doing this event!!
The minimal surface areas video was excellent. There's not a lot of content online covering or motivating the introduction to the calculus of variations and Dr. Bazett did a lovely job. Also it's tough to argue with the content quality of a cheerful guy whose T-shirts include a colorful π tee and the topological deformation of a coffee mug into a doughnut.
These are always fantastic
See his comment
Thank you 👍
Fantastic!
I got recommended rotation + translation = rotation video which was awesome because it was like you said something I’d thought about before
We are lucky to live when channels like this exist. I wish they existed when I was young.
I summon you channel every time I struggle with math to renew my love for math.
Omg, I have seen too many of these videos already. The string art video gave me some ideas maybe I will do something with that one day.
Thank you for this great list! I love your channel and I would also include Aleph O in this list of math explainers. It has amazing videos explaining difficult concepts in such a brilliant way.
Thank you so much for carrying out yet another SoMe. The external deadline from your side really pushed me to finally make the video I was envisioning for almost a year now. It's awesome to see so many new math explainers out there. Hope there will be a SoMe4 next year 🎉
I enjoyed Kuvina's video on the almost platonic solids. Also, I woke up literally when this video came out.
I love your videos!
It was a great experience! Such a good opportunity for KZhead newbies like me to get stuck in! Thanks again :)
The mathematics of string art looks so fascinating.
This year ‘s submissions were just amazing
I love that I organically (well, KZhead Algorithmically) came across a large fraction of these already. I'd love to see this kind of "competition" in other spaces too, like physics or even non-stem spaces like the humanities.
I came up with a similar paper for calculating the logarithms! With the same transformation to hyperbolic arctangent. And the cool thing is, now you can calculate them on logs. But since then I developed an even easier way to achieve high accuracy using Simpson's Rule.
Yeeeeeeeeeeeeeaaaaaa !!!!! I was waiting for this.... yeeepppeee, my dinner is going to be best .... thank you