Next Steps
In one way of thinking, the single seed patterns are a special case that ignores the complexity of multi-seed conditions. That being said, I think it is valuable to look at the single-seed patterns for a couple of reasons. First, the relative simplicity allows for a close look at the interaction of rules with each other. A second is the idea that any multi-seed combination of active and passive cells is contained somewhere in the single-seed patterns (not a proven hypothesis). Then there's the notion I have that a multi-seed condition represents a series of single-seed patterns overlayed on top of each other creating a kind of diffusion pattern. Getting at the heart of how single-seed patterns work may crack open the mechanics of the multi-seed patterns.
Additional areas of study which I'm working on are:
Result Sequences: when I was putting together the Results Groups, sequences of numbers based on the realtionship of rulesets and results groups popped up. These may or may not have a impact on the analysis of the mechanics of automata.
Multi-Seeds, Take 2: Evolution of patterns with more than one seed cell.
Apparent Mirrors: digging into the details of apparent mirrors to develop the mechanics of automata patterns.
The Second Row: while studying the mechanics of apparent mirrors, I identified certain conditions where it seems that the second row of patterns within a results group are the identical, similar to the first row being the same for all rulesets. Need to track this down.
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