Three dimensions

Some three dimensional automata, namely automata using von Neumann neighborhoods, are accessible to CAM boards, given a willingness to work with them plane by plane. Since four planes altogether can be used, plane 0 could be regarded as sandwiched between planes 2 and 3, to create a plane each of whose cells has a complete three dimensional neighborhood of unit radius. Rather than having plane 0 evolve, the new generation could be recorded in plane 1 instead, freeing the CAM board to shift layers internally.





Harold V. McIntosh
E-mail:mcintosh@servidor.unam.mx