MathxMatrix on Instagram: "The Thomson problem is a beautifully simple yet profoundly difficult question in mathematical physics. It asks: What is the minimum electrostatic potential energy configuration of N electrons constrained to the surface of a unit sphere, where each electron repels the others via Coulomb’s law? Why It’s So Hard • For small N, solutions are known and often correspond to symmetric polyhedra:• N = 2 → antipodal points • N = 3 → equilateral triangle on a great circle • N = 4