New maths discoveries! All announced at once!

Video Description

Read the Google DeepMind paper about AlphaEvolve here: https://storage.googleapis.com/deepmind-media/DeepMind.com/Blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms/AlphaEvolve.pdf And this is their blog post about the findings: https://deepmind.google/discover/blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms and if you really want to get into the details, this Collab should be live soon: https://colab.research.google.com/github/google-deepmind/alphaevolve_results/blob/master/mathematical_results.ipynb Erich Friedman's Packing Center: https://erich-friedman.github.io/packing/index.html This is the Terence Tao video I mentioned: https://youtu.be/cyyR7j2ChCI?si=-aMVZ7bigZRtLlFw Huge thanks to viewer Jack Mills who has already made a visualiser for the 11D solution! https://jm771.github.io/kissing_problem_viewer/ Here are the full-res versions of my circle packing visualisations: https://www.dropbox.com/scl/fi/ctncamft9hn19kutb000c/new_26_circles.png?rlkey=63stdka5e5mnw4i5zkui229pa&dl=0 https://www.dropbox.com/scl/fi/9wby70h1nrum66gea3y75/new_32_circles.png?rlkey=3aqwez7kjrng18qqhdnrpixlo&dl=0 You want to hear how I broke my hand falling off my bike? It's quite the story. All will be revealed in episode 110 of A Problem Squared on Monday 26 May. https://creators.spotify.com/pod/profile/a-problem-squared/ https://podcasts.apple.com/podcast/a-problem-squared/id1490290676 Huge thanks to my Patreon supporters. They keep the channel hexagon full of other hexagons. https://www.patreon.com/standupmaths No, I'm not going to tell you what beach that was. Good luck working it out! CORRECTIONS - The 11D coordinates which scrolled by were only the first 5 of each batch of 11. Sorry: they were cropped by accident. First spotted by @DonnieX6. But if you go to the Google Collab linked above you can get all the corrdinates for yourself. And Jack Mills has made a visualiser for the 11D solution! https://jm771.github.io/kissing_problem_viewer/ - Let me know if you spot anything! Filming by Lucie Green balancing the camera on a bucket. Editing by Alex Genn-Bash Written and performed by Matt Parker Produced by Nicole Jacobus Music by Howard Carter Design by Simon Wright and Adam Robinson MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/