thumb|right|300px|A crunode at the origin of the curve defined by y^2 - x^2(x+1)=0.
thumb|right|300px|A crunode at the origin of the curve defined by y^2 - x^2(x+1)=0.
In mathematics, a crunode (archaic; from Latin crux "cross" + node) or node of an algebraic curve is a type of singular point at which the curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. A crunode is also known as an ordinary double point.
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).