Exploration & Epiphany | Guest video by Paul Dancstep

Sol LeWitt's "Incomplete Open Cubes" and rediscovering Burnside's lemma in group theory An interview with the author of this video: https://youtu.be/JEeM2ABUMoo Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Thanks to the Wadsworth Atheneum for granting permission to use LeWitt's notebooks. Talks by Paul you can find online: What is Category Theory: https://youtu.be/eXBwU9ieLL0 How to Predict Eclipses: https://www.exploratorium.edu/eclipse/video/how-predict-eclipses Theo Jansen's Strandbeests https://youtu.be/NxGTuQdp3IQ Timestamps 0:00 - Incomplete open cubes 3:21 - Sol LeWitt 7:10 - Goofing around 13:12 - Size and symmetry 16:50 - Labelling things 22:34 - Lookalikes 28:02 - Probing for patterns 33:11 - Counting using lookalikes 35:50 - Epiphany 45:50 - Formalizing 49:51 - Reflection ------------------ Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 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 YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com