Fractals for NLP
If you have a hyper cellular automaton, it has some interesting properties. every path outward from a node will return multiple times to the same node. Since this is true this pattern can be described as fractal in nature since it is self containing at lower depths. Also since this is true of all nodes the cellular automaton becomes highly fractal in nature, where every fractal is contained within every other fractal. If we were to illustrate this another way , we would have as many 2 dimensional shapes as there are nodes. Since a node is made of other nodes it means we could align these different shapes in such a way without gaps in-between them that they form the outline or shape of any of the individual pieces , just larger. Similarly you could analyze each off its parts and align them with smaller versions of the overlying shapes within it. This goes down forever and up forever with the number of nodes in the cellular automatons graph being the degrees of freedom.
In choosing the particular shapes for each of the nodes you need to know how the automaton is wired to see how each node is related to the other. some nodes may be adjacent to two other nodes while other nodes may be adjacent to 10 or even more...so if the number of adjacency's is going to be different per node, then the particular 2D shapes formed will have different shapes.CASE A
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