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 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 AI agents, visualization grammars, and creativity with Arvind Satyanarayan, including GoFish as a thinking tool, when visualization still matters, and how education changes as AI capabilities expand.
I leverage the implicit guarantees in puzzles and exams—such as the certainty of a unique solution—to solve problems using simple trial and error. I demonstrate how identifying even one valid case can reveal universal answers.