From Problem-Solving to AI-Driven Exploration in Collaborative Mathematics — E8 Intelligence Research

FINDING: Polymath-style collaboration is shifting from pure problem-solving to AI-assisted, large-scale theorem exploration (Tao's Equational Theories Project), while the "Golden Square" episode suggests a geometric/visual entry point into collaborative math. | MATH: No new equations or constants are explicitly stated in the search results; the core mathematical content is methodological — the "equational theories" framework (Tao) implies automated or semi-automated search over algebraic identities, likely involving finite group/ring axioms, but no specific invariant (e.g., no 0.618, 1.618, or base-60 appears in the text). | CONNECTION: The "Golden Square" title is a direct geometric reference — a square whose side-to-diagonal ratio is √2 (1.414), not the golden ratio φ (1.618). However, the term "Golden" in a mathematical context often invokes φ; without transcript access, the only verifiable link is the square's symmetry (D4 dihedral group, order 8), which is a crystallographic point Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com