2021 Summer of Math Exposition results

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Typo at 2:00, it should read "Burkard Polster"

Videos and posts mentioned in this video.

That weird light at the bottom of a mug — ENVELOPES

Hiding Images in Plain Sight: The Physics Of Magic Windows

The Beauty of Bézier Curves

What Is The Most Complicated Lock Pattern?

Pick's theorem: The wrong, amazing proof

Dirac's belt trick, Topology, and Spin ½ particles

Galois-Free Guarantee! | The Insolubility of the Quintic

The Two Envelope Problem - a Mystifying Probability Paradox

The Math Behind Font Rasterization | How it Works

What is a Spinor?

Understanding e

Ancient Multiplication Trick

对称多项式基本定理自我探究

Lehmer Factor Stencils

What is the limit of a sequence of graphs?

Steiner's Porism: proving a cool animation

Wait, Probabilities can be Negative?!

This random graph fact will blow your mind

Why is pi here? Estimating π by Buffon's n̶e̶e̶d̶l̶e noodle!

Introduction to Waves

Complex Functions

I spent an entire summer finding this spiral

HACKENBUSH: a window to a new world of math

The Tale of the Lights Puzzle

The BEST Way to Find a Random Point in a Circle

Secrets of the Fibonacci Tiles

The Tale of Three Triangles

How Karatsuba's algorithm gave us new ways to multiply

Can you change a sum by rearranging its numbers? --- The Riemann Series Theorem

Neural manifolds - The Geometry of Behaviour

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These animations are largely made using a custom python library, manim. See the FAQ comments here:

You can find code for specific videos and projects here:

Music by Vincent Rubinetti.

Download the music on Bandcamp:

Stream the music on Spotify:

Timestamps:
0:00 - Introduction
2:17 - Winners
7:24 - Honorable mentions

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Various social media stuffs:

[bluebrown]

A number of people have asked if we'll do this again next year. I'm hesitant to make any promises, but we're definitely leaning towards doing so. There's no small amount of work involved, especially given that there are certain things we might want to do more deliberately if we did a SoME2. Stay tuned!

[Bulkje]

Funny how the youtube algorithm already boosted some of the higher quality submissions

[Ganerrr]

dude i loved how many cool new math people popping up because of this content, i really hope this continues

[Pelco]

Everybody was commenting "we want more 3blue1brown videos" but what they actually wanted was high quality thought out math videos. So in a sense Mr.Sanderson delivered fully by helping out the community and provided us with hours of new videos to watch. Brilliant I might say.

[sebastianradakovits]

I love how noticeable the effects of this contest were, suddenly my YouTube-recommendations were filled with interesting math videos. I really hope this happens again next year.

[robintruax]

Hi everyone! I made the video "The Tale of Three Triangles" which showed up at the end. This was such a fun competition, and it really motivated me to take my work to the next level. Thanks to Grant, James, the guest judges (especially Tai-Danae Bradley, who's a huge inspiration), and all the peer judges. This was the highlight of my summer and I'm so happy that people enjoyed my work. I loved all the other entries (especially the light-flicking puzzle) and it was great to have more math to watch.

[DrTrefor]

It is truly amazing to see the incredibly breadth and diversity of both math and mathematicians who have taking part in SoME. Congrats to everyone, and in particular the winners!

[yashvangala]

I love how Dr. Zye was like: this video is so long it wouldn't even qualify for the SoME. and here he is part of the top 5 winners :))

[SeeTv.]

So many submissions are so wonderful. They kept showing up in my recommended and it was probably the best recommended YT-video loop that I've fallen into so far.

[mathemaniac]

Congratulations everyone! And really glad that the YouTube algorithm seems to be (finally) doing its job to recommend good math videos!

So, I didn't know about the "contest" before now, but I've seen *so many* of the mentioned videos on my youtube stream recently. Thank you for inspiring people to create these <3!

[pgrafhamster]

I hope this can be a yearly event. I think it’d be inspiring to see the community evolves, and also would give a lot of people drive to keep creating and exploring. I absolutely loved exploring all of the entries and it left me wanting to see more.

[canrex]

I've seen more of these videos than I thought without realizing they in part owe their existence to your contest. I'm legitimately tearing up a little. Thank you, genuinely, for inspiring more mathematical creators.

[noahdacheese]

It's kind of insane to me, as someone who never thought of math as more than just a school subject with only realistic applications, to see how math can be used in fun exciting and fascinating ways to learn and grow the ways in which people understand the world around them through numbers instead of words. I loved this contest, and hope it can teach everyone, interested or not, in the thought processes behind math

[leo-hao]

My 8th grade chem teacher once mentioned that the weird clouds electron orbits form is due to higher dimentional geometry which was why the video on how how 4d points map onto a 3d shadow was really intersting.

[oliver_trp]

I'm glad Grant used his reach for this this competition which acted as a multiplier of the number of high quality math explanations available online!

[sebastianmorales]

So that's why YouTube started to get full of these amazing videos! I already watched a lot of them, they are truly awesome. The value that Grant and his team have created with this it's truly inmensurable.

[forasago]

the fact that that cat thing appears 3D is really surprising. I thought it would only work from one angle.

[pavolkomlos]

I really loved this event. I didn't participate, but the amount of new educational content creators that I discovered is amazing. Props to all of them!

[Ak-iktc]

Technically, I am not even part the math community. I just drop by whenever I feel like to see some cool stuff, but man! This whole thing actually moved me. I was almost crying while watching this video from the sheer beatifulness that this massive joint project collectively produced.