 Boundary representation

A boundary representation specifies a solid through its oriented bounding faces and their edge and vertex of a polyhedron incidence. Supporting planes and coordinates supply geometry; face loops and adjacency supply topology. A valid closed manifold model requires compatible orientation, two incident faces per edge and a single local fan at each vertex of a polyhedron, together with an embedded boundary.

Boundary representation, often abbreviated as B-rep, is a method used in computer graphics and geometric modeling to represent the shape and topology of a three-dimensional object. In B-rep, the object is defined by its boundaries, which include faces, edges, and vertices. Here are the key components of B-rep: 1. **Vertices**: The corner points of the object where edges meet. 2. **Edges**: The line segments that connect vertices.