👉 Rouches are a type of mathematical object commonly used in geometry, specifically in the theory of surfaces and manifolds. They are named after the French mathematician Henri Poincaré who introduced them in his 1904 paper "Sur la topologie de surfaces". A rouché is essentially an embedding of a surface into a Euclidean space (a.k.a., a Euclidean space embedded in R^3). It's often used to model the behavior of a