The generation process of a convex interlocking configuration produces a convex 3D piece for each face in an input mesh, such pieces require to grant kinematic constraints with respect of their localities. The classical approach for generating such configurations is based on the setup of a tilting angle on each edge in the mesh, the angles represent tilted planes incident to the edges. The intersection of the tilted planes produces the vertices of the pieces. An “incorrect” angle setup produces artifacts such as piece overlapping and configuration misalignment with respect of the input mesh. We propose a generation method based on the top/bottom sections resultant from the face evolution process on an 3D convex interlocking setting.