I've always wanted to understand Sporadic Groups better, so I designed some physical twisty puzzles (like the Rubik's cube) to explore them and get a feel for how they work. I couldn't be happier with the results. *Minor Correction: My definition for normal subgroups in the video was a bit too strict. It's only important that this identity holds for 'some' element S in S * g = g * S, the two S's don't need to be exactly the same element. 🔗 Links 🔗 M12 Puzzle: https://www.etsy.com/listing/4495636187/ M12 Puzzle digital files for printing: https://www.etsy.com/listing/4495659248/ M24 Puzzle: https://github.com/HackerPoet/M24-Puzzle Permutation Group Visualizer: https://permutation-groups.netlify.app/ ❤️ Support Me ❤️ 4D Golf: https://store.steampowered.com/app/2147950/4D_Golf/ Hyperbolica: https://store.steampowered.com/app/1256230/Hyperbolica/ Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade 🎵 Music (CC by 4.0) 🎵 Pamela Yuen - My Still Night, My Starry Night Dyalla - Bump Johan Vandegriff - Alien Sunlight Joshua Moses - In Suspension Anthem of Rain - End Of The Road (Instrumental)

I created a device to play "red light green light" and challenged fellow YouTubers to see who would take home the championship! The design and software are open source and can be 3D printed if you'd like to make your own. https://github.com/HackerPoet/Red-Light-Green-Light 🎥 Featured Creators: 🎥 @PolyMarsLIVE @sonderingemily @carykh @BFDI ❤️ Support Me ❤️ 4D Golf: https://store.steampowered.com/app/2147950/4D_Golf/ Hyperbolica: https://store.steampowered.com/app/1256230/Hyperbolica/ Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade 🎵 Music (CC by 4.0) 🎵 UmbrTone - Yummy Flavor Ketsa - Protect Hotham - Home Paolo Agrento - Suspicious Dramedy HappyWorldWithMochi - Face to Face

Here's 3 more original palindromes I created using my palindrome solver.

Here's 2 challenging palindromes I created using my palindrome solver.

Here's a long palindrome I created using my palindrome solver.

Here's 3 more unhinged palindromes I found using my palindrome solver.

Here's 3 surprising palindromes I found using my palindrome solver.

With the help of software I created, I made some surprisingly long palindromes that actually sound really coherent. You can download the palindromer tool from my GitHub here: https://github.com/HackerPoet/Palindromer ❤️ Support ❤️ 4D Golf: https://store.steampowered.com/app/2147950/4D_Golf/ Hyperbolica: https://store.steampowered.com/app/1256230/Hyperbolica/ Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade 🎶 Music (CC By 4.0) 🎶 HoliznaCC0 - Make Funk 1st Contact - Calm Stride Lite Saturation - Fast Epic 4D Golf OST - Astral Vibes

I published my first math paper about new discoveries of polyhedral embeddings of regular maps. These were found using a new computational technique I created in a previous video. A huge thanks to Dr. Jürgen Bokowski for all his help with the paper. 🔗 Links 🔗 The paper: https://doi.org/10.3390/sym17040622 Interactive website: http://codeparade.net/embeddings/ Open-source solver Beryl: https://github.com/HackerPoet/Beryl Hyperbolica: https://store.steampowered.com/app/1256230/Hyperbolica/ HyperRogue: https://roguetemple.com/z/hyper/ Greg Egan's page about the Klein Quartic: https://www.gregegan.net/SCIENCE/KleinQuartic/KleinQuartic.html ❤️ Support ❤️ Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade 🎶 Music (CC By 4.0) 🎶 snoozy beats - Golden Rays Picratio - Peak Hours Calm Hyperbolica OST - Trinkets The Hikers - Memphis Hotham - The Funk

How large of a grid can you make if every row and column needs to be an English word? I made a simple solver to fully solve the question when using the scrabble dictionary. Source code: https://github.com/HackerPoet/WordSquares My Games 4D Golf: https://store.steampowered.com/app/2147950/4D_Golf/ Hyperbolica: https://store.steampowered.com/app/1256230/Hyperbolica/ Support me and innovative projects like these! Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade Music (CC by 4.0) Yeah Smoove Smoove - Karneef Snoozy Beats - Bubble Tea Bump - Dyalla Snoozy Beats - Amber Creme Brulee - The Soundlings

Start your free 30-day trial at https://brilliant.org/CodeParade/ and get 20% off the annual premium subscription. More detailed information and all the code and research I did for the neighborly polyhedron problem can be found on my GitHub. GitHub: https://github.com/HackerPoet/NeighborlyPolyhedra Szilassi Polyhedron paper cutout: http://cutoutfoldup.com/patterns/0927_a4.pdf 4D Golf: https://store.steampowered.com/app/2147950/4D_Golf/ Hyperbolica: https://store.steampowered.com/app/1256230/Hyperbolica/ Support me and innovative projects like these! Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade Music (CC By 4.0) HOME - We’re Finally Landing Broke For Free - My Luck Beat Mekanik - Addiction Hyperbolica OST - Low Fidelity Melody Picratio - Corporate Candy Picratio - Cyborg Rising Beat Mekanik - Dreams Evan Schaeffer - Glow Evan Schaeffer - Blink 4D Golf OST - Neon Rebel

Start your free 30-day trial at https://brilliant.org/CodeParade/ and get 20% off the annual premium subscription. This is Part 2, watch Part 1 first or this won't make sense: https://youtu.be/Mzgw6zMtipQ This is a follow-up to my last video about big numbers as there have been some new larger numbers discovered that can fit into a small space, like a text message. This is likely to be the final conclusion of the series unless something larger is proven. Nuclear Array Notation: https://codegolf.stackexchange.com/a/219466/125178 Support me and innovative projects like these! Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade 4D Golf Steam Page: https://store.steampowered.com/app/2147950/4D_Golf/ Devlog Series: https://www.youtube.com/playlist?list=PLh9DXIT3m6N4GygehtlHl0ukgrgPJZteI Discord: https://discord.gg/P9taqBJKJq Engine source code: https://github.com/HackerPoet/Engine4D Music CC by 4.0 Jesse Spillane - An Undersea Cache of Relics https://freemusicarchive.org/music/Jesse_Spillane/the-big-idea-machine/an-undersea-cache-of-relics/ Evan Schaeffer - Blink https://freemusicarchive.org/music/Evan_Schaeffer/Glow_1216/Evan_Schaeffer_-_02_-_Blink_1133/

Start your free 30-day trial at https://brilliant.org/CodeParade/ and get 20% off the annual premium subscription. The word chains game is a simple game played in Kindergarten, but the analysis is surprisingly complex involving graphs and network theory. You can make your own word chain graphs with the source code here: https://github.com/HackerPoet/WordChainSolver 4D Golf Steam Page: https://store.steampowered.com/app/2147950/4D_Golf/ Engine source code: https://github.com/HackerPoet/Engine4D Devlog Series: https://www.youtube.com/playlist?list=PLh9DXIT3m6N4GygehtlHl0ukgrgPJZteI Discord: https://discord.gg/P9taqBJKJq Music: HoliznaCC0 - Beginning 2 https://freemusicarchive.org/music/holiznacc0/gamer-soundtrack-beginnings/beginning-2/ Beat Mekanik - Hazy https://freemusicarchive.org/music/beat-mekanik/single/hazy/

Start your free 30-day trial at https://brilliant.org/CodeParade/ and get 20% off the annual premium subscription. You may have heard of some famous large numbers like Graham's Number or TREE(3) but I go way beyond that to find the largest number that could fit in a small space; an SMS text message or tweet. Watch Part 2 here: https://youtu.be/kQLcoSuMKHg Some googology and lambda examples from this video were hard to find, here are some resources to help if you're interested in researching further: Lambda Diagrams: https://tromp.github.io/cl/diagrams.html Binary Lambda Calculus: https://tromp.github.io/cl/Binary_lambda_calculus.html Melo's Number: https://codegolf.stackexchange.com/a/263884 Buchholz Ordinal Algorithm: https://codegolf.stackexchange.com/a/219466 Check out 4D Golf on Steam: https://store.steampowered.com/app/2147950/4D_Golf Other ways to support the channel: Patreon: https://www.patreon.com/codeparade Ko-fi: https://ko-fi.com/codeparade Merch: https://crowdmade.com/collections/codeparade Music CC by 4.0 Jesse Spillane - An Undersea Cache of Relics https://freemusicarchive.org/music/Jesse_Spillane/the-big-idea-machine/an-undersea-cache-of-relics/

Start your free 30-day trial at https://brilliant.org/CodeParade/ and get 20% off the annual premium subscription. Get 4D Golf on Steam: https://store.steampowered.com/app/2147950/4D_Golf 4D Golf Devlog #3: https://youtu.be/dbq9uX_MycY 4D Golf Playlist: https://youtube.com/playlist?list=PLh9DXIT3m6N4GygehtlHl0ukgrgPJZteI Join the discord https://discord.gg/P9taqBJKJq Official 4D Golf + CodeParade Merch https://crowdmade.com/collections/codeparade Music by philmakesnoise #4dgolf