Plücker embedding

The Plücker embedding is a mathematical technique that represents lines in three-dimensional space as points in a higher-dimensional space, specifically a projective space. By translating each line into a set of coordinate-like values called Plücker coordinates, it allows for the analysis and manipulation of lines using algebraic methods. This embedding transforms complex geometric relationships into algebraic equations, making it easier to study intersections, alignments, and configurations of lines in a precise and systematic way within the realm of projective geometry.