🧪 Philosophy Aesthetics Simulation

Can beauty be measured? In 1933 George D. Birkhoff proposed a formal aesthetic measure, M = O/C, treating perceived beauty as a ratio between a composition's order — its symmetry and regularity — and its complexity — the number of parts a viewer has to take in. This simulator turns that theory into a hands-on instrument: a rotationally symmetric rosette of elements, built live from a symmetry order, a ring count, an optional golden-ratio radius progression, and a disorder slider that injects noise into every element's position. As you adjust the controls the pattern rebuilds in 3D and Birkhoff's own formula scores its own creation in real time, letting you test whether a mathematical model of aesthetic judgment actually tracks what looks beautiful — and where, philosophically, it might fail to.