I do find the intuitiveness of Bézier curves' control points beautiful.
I have some reservations about the beauty of things created using Bézier curves--informally based on the shapes of Renault cars and upmarket cars being designed using costly physical modelling processes.
I'm not interested in game dev at all, but now I'm curious if Bézier functions show up in topics that are important to me e.g. the numerical integrators used in the No-U-Turn sampler for Bayesian inference...?