Facets of Convex Hulls

Facets of a convex hull are the flat surfaces that form its outer boundary in higher dimensions. Think of a cube’s faces as facets: in three dimensions, these are flat polygons that enclose the shape. In higher dimensions, facets are generalized “faces” that define the shape’s shape and boundaries. They are crucial for understanding the structure, as they help describe the convex hull’s shape, optimize algorithms in computational geometry, and analyze data patterns. Essentially, facets are the fundamental "building blocks" that make up the outer shell of the convex hull.