Page "Polygon mesh" Paragraph 25

Modeling requires easy traversal of all structures.

With face-vertex meshes it is easy to find the vertices of a face.

Also, the vertex list contains a list of faces connected to each vertex.

Unlike VV meshes, both faces and vertices are explicit, so locating neighboring faces and vertices is constant time.

However, the edges are implicit, so a search is still needed to find all the faces surrounding a given face.

Other dynamic operations, such as splitting or merging a face, are also difficult with face-vertex meshes.