my neurons think about themselves a lot

Euclid, Newton & Turing This weekend, at the John Rylands Library in Manchester, I finally found a historical copy of Euclid’s Elements. And right next to it: Newton’s Principia and Turing’s handwritten notes. Completely overwhelming.

Smooth-rolling knots! At @markpauly.bsky.social’s lab, we found a way to optimize knots for smooth rolling. I presented our work at Bridges 2025 – the conference for #MathArt. More below ↓

What is the hidden structure of the natural numbers? In the UMAP paper, @lelandmcinnes.bsky.social et al. embedded the integers as binary vectors of their prime factors. This UMAP visualization of 30 million integers reveals a fractal-like geometry. #UMAP #mathart #dataviz #numbertheory