# Last edited on 2024-09-18 16:50:31 by stolfi

This program generates a family of 3D objects to illustrate why mesh representation with convex faces is better than triangulations. For the topological mesh slicing paper (Minetto et al 2024).  The general member {M(Ni)} an upright fan-like prism whose top border, which consists of {Ni} rectangular faces, is concave instead of convex.  (It is a special case of the 'fan' family.)  The shape was chosen for maximum clarity, even though it is a rather improbable object in practice.