I found news that the Poincaré conjecture may have been solved, potentially resolving a century-old problem in topology. The proof involves the Ricci flow and geometric structures on 3-manifolds as proposed by Grigori Perelman.
After 150 years, a cryptographic puzzle created by Edgar Allan Poe has finally been solved. This breakthrough deciphered a complex challenge that had stumped enthusiasts for over a century, revealing the hidden text and methodology.
Review David Hilbert’s 23 foundational mathematical problems from 1900 and the contemporary Millennium Prize Problems. While many are solved, the Riemann Hypothesis remains a major challenge with a million-dollar bounty for anyone who solves it.
I built a visualization showing how an OpenAI model disproved the Erdős unit distance conjecture. The model found a point construction where unit distances compound at approximately 1.4%, far exceeding the previously predicted near-zero growth rate.
I shared a brief update while going on vacation. The comments captured discussions about improving my blog's sidebar layout, finding copies of Richard Feynman's books, and dealing with office web filters blocking the site.
I discuss visualization grammars with Arvind Satyanarayan, exploring how GoFish uses Gestalt-based graphical relationships to help AI agents reason about design. I am experimenting with these grammars to improve AI visualization diversity and building automated verification systems.