Isometric 3D von Neumann neighbourhood

Domain

 

Co domain

  ->  

Domain   Co domain
->

This neighbourhood is a sort of cross between the 3D von Neumann neighbourhood and the isomentric von Neumann neighbourhood.

In this neighbourhood, each cubic cell is divided into six square-based pyramids, something like this:

The neighbourhood divides space into two alternating independent sub-lattices (which swap places on alternate time steps).

Each sub-lattice forms a close packed, face-centre cubic structure.


Tim Tyler | tim@tt1.org | http://cell-auto.com/