User:Saka/Inner-only totalistic Cellular Automaton

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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. This is by far the most boring rule, as nothing can live past the first generation.


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. The entire universe will become a giant still life in exactly 1 generation.


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. This rule is interesting because it has infinitely many still lives as every single pattern is a still life.


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. In the rule, the entire infinite universe is a giant period 2 oscillator and phoenix and every pattern is also a period 2 phoenix too.



Thank you, dvgrn.