The Thomas Star Annulus Ratios The Thomas Star Annulus Ratios A Geometric and Calculus Analysis of Periodic Annulus Bisections I Summary of Thomas Ratios and Limits This discovery establishes prior art for a mathematical framework analyzing area ratios of an annulus bisected by periodic radial functions (square, sine, triangle waves). The maximum area ratio limits (as radius factor \( \rho \to \infty \)) are shown below, ensuring no one can claim origination of this framework in the future. Star Type Max Limit (\( \mathbf{\rho \to \infty} \)) Square Wave (Perfect Bisector) \( \mathbf{1} \)...