Cellular Automata/Rule

• special reversible rules
• totalistic rules
• XML and other exotic rules

transforming a second order rule of neighborhood size ${\displaystyle k}$ into a first order rule of neighborhood size ${\displaystyle 2k-1}$

or different symmetries

1. input complement
2. output complement
3. reflection symmetry
4. rotation smetry (2D) ?can be produced by reflection no it can not
5. equivalence class

1. Mirek Wojtowicz, Cellular Automata rules lexicon
2. Global Dynamics
3. http://en.wikipedia.org/wiki/Symmetries
4. http://en.wikipedia.org/wiki/Equivalence_class
5. http://en.wikipedia.org/wiki/Euclidean_plane_isometry
6. about xlcau21 (22) http://groups.google.com/group/comp.theory.cell-automata/browse_frm/thread/b4596943ee04f3d6/9fffa47e715ffb7e?q=symmetry&rnum=6&hl=en#9fffa47e715ffb7e

• http://groups.google.com/group/comp.theory.cell-automata/browse_thread/thread/eedd3e963691fda2/41f376c8b51455b2?q=clusters&rnum=5&hl=en#41f376c8b51455b2
• http://groups.google.com/group/comp.theory.cell-automata/browse_frm/thread/2375d42de9f86ee1?tvc=1&q=clusters&hl=en
• http://groups.google.com/group/comp.theory.cell-automata/browse_frm/thread/86b9db28b67edf1/c5aac90b816f8f32?q=symmetry&rnum=21&hl=en#c5aac90b816f8f32
• http://groups.google.com/group/comp.theory.cell-automata/browse_frm/thread/3a24112941446717/1e809a7956a95529?q=symmetry&rnum=9&hl=en#1e809a7956a95529