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Showing posts from January, 2026

🌟 When “Squaring the Circle” Becomes a Finite, Exact, and Browser-Verifiable Geometric Reality

For centuries, squaring the circle has been treated as a symbol of impossibility. An abstract limit. An asymptotic pursuit. A thought experiment rather than a testable geometry. Most approaches drift toward: infinite limits heuristic packing visual approximation probabilistic optimisation This work asks a simpler — and more precise — question: What if squaring the circle is treated as a finite geometric problem, not an idealised one? 🧠 Geometry Before Approximation Classical packing studies often relax constraints early: corners are approximated boundaries are softened acceptance becomes statistical The Finite Structural Area Experiment (FSAE) takes the opposite path. It does not ask how densely squares can fill a circle in theory. It asks: How many squares can be placed such that every square is exactly inside the circle — with no tolerance, no approximation, and no visual inference? 📐 What FSAE Actually Does (Without Guesswork) FSAE is built using principles from Shunyaya Struc...