A terminology for 2D grids
Abstract
Compared with other more sophisticated interconnection topologies, the grid -- and its toroidal extension -- has several important advantages such as its simplicity of design and its bounded number of communication links for each processing node. Consequently, a lot of work has been done or is still in progress upon grid-based networks. However, the terminology is often imprecise or even non-existent. So, in order to clarify future work in the field of massively parallel architectures, we propose a terminology based on a material borrowed from geometry of tiling and regular figures, regular graph theory or plane crystallography and dealing with the concept of {\em valence}. The present proposal is restricted to infinite two-dimensional grids.}