Comparatistics for morphoCAs

    Differentiations, Developments and Reductions
          

Dr. phil Rudolf Kaehr
copyright
© ThinkArt Lab Glasgow
ISSN 2041-4358
( work in progress, v. 0.1, July 2015 )

Conceptual background

Two main modi of change are considered:
a)
differentiations of a pattern of a given complexity,
b)
developments of a pattern from one level to another level of complexity.

The reverse movement is implemented as the process of reduction.

The classical approach to cellular automata is covered by a black-and-white universe.

Is there a natural way to a colored and colorful universe out of the established black-and-white universe?

There is without doubt a natural way to reduce a colorful universe into a black-and-white one.

Considering the fact that classical cellular automata are morphogrammatically incomplete it seems to be difficult to develop automata concepts of a higher complexity.

Obviously, every black-and-white pattern might be colored arbitrarily by some voluntary or intuitive interests. But that has nothing to do with a conscious algorithmic approach to complexity/complication of developing patterns.

What is a well known strategy, also applied in similar situations, like many-valued logic, there is always a way to augment complexity in a secondary way. This strategy of complexity augmentation is called here augmentation of complication. Complexity and complication are complementary concepts in a polycontextural systems theory.

The stipulation of polycontextural and morphogrammatic writing is: Complexity first, simplicity last.

“Simplicity is what is left after complexity; not what precedes it.” (Jeff DeGraff)

The exercise shows differentiations of some patterns in the framework of the morphoCAs DCKV-(5,5,5) and morphoCA-(5,4,5) and developments of patterns from Comparisons_1.gif to Comparisons_2.gif.

Topics are:
overlapping,
mixtures,
parallelism.

Examples Comparisons_3.gif

Differentiations between Comparisons_4.gif and Comparisons_5.gif

Differentiations

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Differentiations

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Differentiations

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Complication of complexity measured by the steps of development

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Overlapping

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Parallelism

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Mixtures

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Spikey Created with Wolfram Mathematica 9.0