Visual guide to the Quantum Fourier Transform: from binary numbers and roots of unity to the QFT circuit, with comparisons to classical DFT and implications for Shor's algorithm.

Does a hilly city have more surface area than a flat one? The 3D coastline paradox explored via fractal dimension, Hausdorff measure, and a Python notebook applied to Telegraph Hill.

From 1/x to the Schwarzschild radius: what singularities mean in analysis and general relativity, and whether they correspond to anything physically real.

A minimum working example comparing Newtonian and Einsteinian gravity using Mars' orbit — starting from the Schwarzschild metric and solving the resulting differential equations numerically.

Many-to-many stable matching as an extension of Gale-Shapley deferred acceptance: fixed points, stability conditions, and what changes when each agent can match to multiple partners.