You could make a video, a blog post, or whatever else you dream up, about essentially any topic you'd like, as long as it's loosely related to math. Whether you're a student, a teacher, or just a math enthusiast, as long as you have a lesson worth sharing, we encourage you to make something and submit it. The winner announcements from the last two years should give you a feel for the event. I also put together some advice in the first year’s kick-off video.

Submissions are due August 18th, after which we have a process for selecting 5 winners to each receive $1,000 and a golden pi, along with 20 honorable mentions to receive $500 each. Winners and many of the honorable mentions will also be featured in a 3blue1brown video summarizing the event.

For the last two years that we've run this, we were pleasantly surprised by how the process for surfacing winners turned out to generate most of the exposure for the entries and really became the heart of the event. Even before announcing winners last year, just the video entries alone had collectively accumulated over 7 million views, with around 100 entries getting at least 10,000 views.

The way this works is that after the submission deadline, we have a peer review session, where participants (and anyone else who wants to join) use a system that successively shows them two different entries and asks them to vote on which is best, according to a few criteria we lay out.

An underlying algorithm then uses these pairwise rankings to generate an ordered list of all entries. The ordering isn't perfect, but it doesn't have to be. It offers a manageable starting point for the in-house review that we do from there. I personally set aside about 2 weeks to give a close look at the top 100 on that list, then I pull in many other people from the math communication community to help select the final winners.

Originally we did the peer review just to make the in-house review a tractable task, but the pleasant surprise was that having a concentrated two-week period where a few thousand people were all looking at each other's work helped to jump-start viewership and exposure for many of the entries. Viewers of one entry on YouTube often had videos from another SoME creator recommended to them, even if it was a fresh or relatively new channel.

Also, many people gave feedback that the peer review was simply fun. It's a great way to discover new math content and new creators who you otherwise might not have stumbled across.

Once you’ve finished your entry, submit it to https://some.3b1b.co/register by August 18th.

If you don’t have time to contribute an entry, you can still register at that link to participate in the peer review session.

One way to stay engaged throughout the summer is via Discord, where you can find collaborators, share partial progress, and ask questions.

You can also feel free to email 3b1b.some@gmail.com for SoME-specific questions.

By the way, for those of you who subscribed to last year's summer of math exposition mailing list, I've merged that with the general 3blue1brown mailing list (i.e. what you're reading now). This is where I'll post any updates throughout the summer.

Many thanks to this year's sponsor, Jane Street, for providing funds to cover prizes and other costs of the event.

Thanks also to Frédéric Crozatier for putting together the website we’re using this year for the peer review, and to James Schloss, for helping to organize everything.

]]>Obviously, this is not a great situation. Addictions rarely are. Also, some people worry about the specific opium den where most of the youth seem to go to get their fix and the way it may or may not make use of their information. People also have expressed worries about what level of involvement the government housing these dens may or may not have in running them, but maybe that's beside the point.

It's a little more complicated than that because not all of this opium is bad, per se. Some of it seems to really help people, but there's no question that on the whole, it's all very addictive.

Now suppose that you're a doctor, and part of your job involves prescribing drugs. Not ones like opium, at least you hope not, but ones that will actually help people and make their lives better. Moreover, a big part of the reason you got into medicine was not just to help people in general, but to help the youth in particular.

In your heart of hearts, you know that there's a somewhat blurry line between the drugs that you prescribe and the opium people are addicted to. It's definitely possible for people to abuse the pharmacy where your prescriptions are dispensed, and as easy as it is to be critical of the opium dens, it's not like your own domain hasn't seen an addiction epidemic of its own. Not only that, but your own pharmacy has even recently opened a window specifically to dispense opium, and asking many doctors to try prescribing opium here, all in the hope of competing with the more popular opium dens.

Still, you feel pretty comfortable that your drugs, at least, are actually helping people.

The question is, should you explore channels of dispensing your drugs, or variants of your drugs, in the opium dens? On the one hand, it doesn't feel great to be a part of the growing addiction. But realistically there are a lot of people, especially the younger generation, that spend much more of their time in the opium den than in pharmacies and doctor's offices. You know it might be an avenue for reaching those people. Mostly, though, you just haven't thought about it much given that you yourself aren't an opium user.

The immediate hurdle is that your drugs don't fit the form factor of what's dispensed at the opium dens. What you prescribe isn't the easiest in the world to use, it requires at least a little bit of patience and concentration, whereas most opium gives a more immediate hit. You could take some time to adapt your prescription or to create new drugs that more closely fit the spirit of the dens, but it's not really something you want to spend a lot of your own time doing.

But then suppose someone comes along and offers to do that adaptation on your behalf. They'll take some of your existing drugs, pull out what may fit well in the dens, and invite people to come to your pharmacy if they like the taste of what they had. You can still spend almost all your time working on the medicines you feel passionate about, and even if it's not in the most virtuous context, a few more people may now have the chance to become aware of your practice. Worth a shot, no?

Anyway, there now exists a 3blue1brown TikTok. My thanks go to Dawid Kołodziej for cutting up the adaptations.

Tiktok failed to load.

Enable 3rd party cookies or use another browser

Enable 3rd party cookies or use another browser

]]>

]]>

As promised, here's a new video going deeper into convolutions, and in what sense the FFT algorithm can be used to speed up their computation. Originally the plan was to do an overview of both the discrete and continuous cases, but there was enough material I wanted to cover that I decided to pull out the continuous discussion into its own video. Given that many of the visuals for that are already made, in theory, it shouldn't be too long before that one is out as well. Let me know if there's anything you'd like to see for the continuous case.

Grant

]]>This is the first of two videos exploring a somewhat mind-blowing pattern of integrals. The next video will be all about convolutions, filling in the details not fully explained here, as well as showing where else convolutions come up in math.

]]>Here we explore three examples of visual “proofs” that give incorrect results, one showing how the surface area of a sphere is π^2 * R^2, another showing how the circumference of a circle is 8, and a third demonstrating that all triangles are equilateral.

Aside from acting as cautionary tales, each one has a similar look and feel to various other famous visual proofs out there, so analyzing exactly why they’re wrong tells us something about what’s needed ot make all the other poofs out there rigorous.

On another note, we just added a “quotebook notebook” to the 3b1b store.

Each page includes some quote about mathematics, with the thought that as each of you works on your own math and sketch out whatever notes you like to take, the various musings of mathematicians at the top of each page act as a mixture of inspiration and delight.

We went for a bit of a nicer quality on the cover, and filled it with lightly gridded A5 pages.

]]>]]>

]]>

]]>

]]>

Towards the end, I also try to tie up a loose end from the Newton Fractal video about where the boundary property mentioned there comes from.

]]>

]]>

Be honest, do you want more math in your life or less?

]]>