Helping a square wheel to roll smoothly with a catenary curve. #stem #mathematik #wheel #mathematics #math #satisfying #originalanimation #maths #geometry#geometryart #stemtok #satisfyingvideo #mathart #square #geometricart | Reason-why

The Aristotle’s wheel paradox presents a curious scenario involving two concentric circles—a larger outer circle and a smaller inner circle—rigidly connected to form a single wheel. When this wheel rolls one full revolution along a flat surface without slipping, the outer circle clearly traces a path equal to its circumference, $2pi R$. However, it appears that the inner circle, despite having a smaller radius $r$, also traces a path of length $2pi R$, creating the illusion that both circles hav