User:Saka/Inner-only totalistic Cellular Automaton: Difference between revisions
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Revision as of 09:32, 13 October 2017
Inner-totalistic rules are a family of rules brought into existence by Saka.
Inner-totalistic rules are rules where a cell's state in the next generation is solely based on the state of the cell itself. Because of this, there is no transfer of any information between neighbors.
The notation of inner-totalistic CA can be described as 0-c'/1-c', where 0 and 1 are the cell's current state and c' is the cell's state in the next generation.
There are four 2-state inner-totalistic CA, listed and described below:
Everybody Dies
Everybody Dies is an inner-totalistic CA where every cell dies. It can be noted by 0-0/1-0, which means that state 0 turns to state 0 and state 1 also turns to state 0. This can be emulated using the rule B/S.
Everybody Lives
Everybody Lives is an inner-totalistic CA where every cell becomes alive. It can be noted by 0-1/1-1, which means that state 0 turns into state 1 and state 1 also turns into state 1. It can be emulated using the rule B012345678/S012345678.
Nothing Happens
Nothing Happens is an inner-totalistic CA where all cells stay as they are, forever. This rule can be noted as 0-0/1-1. It means that state 0 turns into state 0 and state 1 turns into state 1. This can be emulated using B/S012345678.
Awful Strobe
Awful Strobe is an inner-totalistic CA where each state changes to the opposite state, creating a horrible strobe effect. This rule can be noted as 0-1/1-0. This means that state 0 turns into state 1 and state 1 turns into state 0. It can be emulated using B012345678/S.
Thank you, dvgrn.