Much of Euclid’s Elements is easily misunderstood. Some proofs seem to have logical gaps. Some constructions seem pointless, others seem needlessly convoluted. Each of these provides a window into how the ancient Greeks thought about math and the philosophical role that geometry played.

New video about a piece by the modern artist Sol LeWitt, and the group theory behind it. youtu.be/_BrFKp-U8GI

Guest video 3/5 while I'm on leave is now up! It's by a former SoME winner, covering key ideas in statistical mechanics to create a simple and discrete model mirroring the behavior of a fluid transitioning between a liquid and gaseous state. Enjoy! youtu.be/itRV2jEtV8Q

Hey, psst, you can find early views for two upcoming guest videos on Patreon, one about statistical mechanics and another covering a story of modern art and group theory. Notes on early releases are always helpful before finalizing a video. www.patreon.com/posts/explor...

New video on the details of diffusion models: youtu.be/iv-5mZ_9CPY Produced by Welch Labs, this is the first in a short series of 3b1b this summer. I enjoyed providing editorial feedback throughout the last several months, and couldn't be happier with the result.

In the most recent video about quantum computing, I saw many comments expressing a similar point of confusion regarding Grover's algorithm. I made a follow-up to (hopefully) clarify some of the issues and to address a few other under-emphasized points. youtu.be/Dlsa9EBKDGI

New video! This covers the fundamentals of quantum computing and builds up to a step-by-step walk-through of an important algorithm in the field. youtu.be/RQWpF2Gb-gU

The most viewed thing I've ever made is a short about two colliding blocks computing π. I just made a new edition of the explanation for why π shows up there, setting things up for a (coming soon) follow-on connecting it to quantum computing. youtu.be/6dTyOl1fmDo

I have a pi-day challenge for all the physics students among you (or anyone willing to set up an experiment). If you share your results with me by March 10th, I may feature them in a video, depending on how good the results are and how many I get.

Part 2 of the collaboration with Terence Tao on the cosmic distance ladder is now out. It covers how we first learned the distances to planets, stars, and galaxies far, far away. youtu.be/hFMaT9oRbs4

New video! Terence Tao on how we measure the cosmos: youtu.be/YdOXS_9_P4U

I've had fun editing together on a very different kind of video from the norm. Keep an eye out this weekend.

Holograms! Easily my favorite project from last year. Full video: youtu.be/EmKQsSDlaa4

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: youtu.be/IQqtsm-bBRU

I'd like to share some music from the channel's regular composer, Vince Rubinetti, for a project never (yet) made: vincerubinetti.bandcamp.com/album/galois