[A semicontinuous cellular automaton] - A New Kind of Science: The NKS ForumA New Kind of Science: The NKS Forum
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A semicontinuous cellular automaton
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Posted by: Emmanuel Garces
Last month I took some biomathematics courses in the Park City Mathematics Institute Summer Session and I felt that all of the math tools they use didn't consider discrete aspects but continuous instead. I thought that there should be an intermediate approach so more things could be explained like the complex forms in biology.
Recently, I read a lot about universality in CA in order to make my thesis for the bachelor degree. But I didn't start to thing deeply about it and make some experiments.
Then I tried to design a one dimensional multiple state cellular automaton in such a way that it could to exhibit qualitatively the same patterns that a two states one generates. After many tries I found an approximation for what I was looking for. A cellular automaton with a continuous rule of evolution in space but discrete in time, so I plotted the state transition by using a continuous function.
I hope someone could be interested, any comment is welcome.
Next, two pictures are shown. The first one corresponds to rule 30 and then rule 110. Both initial conditions consist of a single cell equals one.
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