👉 The term "long root" is a mathematical concept in algebraic geometry, specifically used to describe certain curves or surfaces in 3D space. It can be defined as a curve that has two double points (or nodes) where its tangent plane intersects with itself at infinity. Long roots are important in the study of singularities and they arise when a family of algebraic varieties contains multiple singular points at infinity, which is often used to model problems in mathematics, physics, or engineering. These curves