Grant Sanderson

@3blue1brown • 461,452 subscribers

Pi creature caretaker. Contact/faq: https://t.co/brZwdQfdif

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Live Cam

Grant Sanderson

Videos

Watch Anya Live

The last IMO problem AI could not solve. For when you want to sit down for a longer problem-solving saga, here's the full video:

For the most recent video, I had way too much fun simulating the electric field (or rather, the component of that field responsible for radiation) and how it responds to an accelerating electric charge.

New video! Memorable for its delightfully absurd name, the Hairy Ball Theorem is extremely beautiful and has some surprising applications. Full video here:

The next chapter about transformers is up on YouTube, digging into the attention mechanism: The model works with vectors representing tokens (think words), and this is the mechanism that allows those vectors to take in meaning from context.

On a recent trip to the UK, Matt Parker shared this delightful little probability fact with me and asked if I might animate an explanation for a video of his. It's a fun one! See his full video with shenanigans relating this to dice and more.

Excerpt from a video I just posted on YouTube (about the multilayer perception layers in a transformer, and how LLMs may store facts).

I remember having way too much fun writing this back in 2017 when I made the Bitcoin explainer. If someone describes a cryptographic protocol as having "256-bit security", what does that really mean?

New puzzle, as part of the series of monthly puzzlers with National Museum of Mathematics. As a variant: What if you start with pegs in all four corners of the square, and you want them to end up on corners of a bigger square?

Suppose you wanted to reinvent the idea of Shannon Entropy for yourself. This puzzle is a good place to start (Full video on YouTube).

Here's a short dynamics-based explanation of the equation e^(πi)=-1

I just put up a new video, which was a collaboration with Terence Tao about the cosmic distance ladder. You can find the full video on YouTube, and here's a bit of extra footage that didn't make it into the final.

This video was a complete joy to make. Here's a short preview, but next time you're looking to sit down for 45 minutes of math and art, take a look at the full version on YouTube.

Well, math terminology being what it is, something like this was bound to happen eventually. (If you're curious about why these balls are so puny, the full talk is up on YouTube)

I just put up a new video on the fundamentals of quantum computing, building up to a step-by-step walk-through of something known as Grover’s algorithm. Here's an excerpt of a quiz used to introduce the topic.

The puzzle below is a famous cautionary tale in math. But there's more to it than just coincidence, and on the YouTube version, we dig into what's really going on. Full explanation:

Has anyone ever come across this way of visualizing the convolution of two functions f and g: Look at the graph of the two-variable function f(x)g(y), and consider diagonal slices over the line x + y = k. The area of those slices represents (f * g)(k).

The next video in the Laplace Transform sequence is up! Here, we dig into a concrete example, the forced oscillator. Some of you may remember that this was relevant for studying why light slows down in a medium.

As a preview, here's a sped-up version of one of the core scenes, though admittedly it may not make full sense without narration.

New* video! If you’ve ever wondered what topology is, this problem is one of the best examples I know of to give an authentic sense of what it’s all about: