Mono-Contextural Behaviors in morphoCA-(6,6,2)

Loops, Attractors, Topographies

Dr. phil Rudolf Kaehr

copyright © ThinkArt Lab Glasgow

ISSN 2041-4358

( work in progress, vs. 0.2, June 2016 )

Conceptual background

Claviatures gives a glimpse into the usefulness of the sub-rule approach for all kind of cellular automata. The merits of the sub-rule approach becomes evident for highly complex automata where it is practically not achievable to manipulate all single rules of the automaton explicitly.

With the sub-rule approach the single rule configuration that are defining an actual machine are constructed by the chosen keys of the claviature. Like for musical keyboards the melodies are composed by the chose of the keys and are not looked up from a look-up table of stored melodies.

The last presentation has shown a family of just 3 generations of the evolution of the complexity of morphic cellular automata realized in the modi of graphics, structure and sound. Here, a next step in the evolution is presented.

The evolution is: from to and to , now extended to of .

A DCKV rule of morpho, like {3,0,1,3,4}→2, has a morphic rule complexity r of 6 ( {3,0,1,3,4,2}), a word length n of 5 ({3,0,1,3,4}), a value complexion k of 6, (1,2,3,4,5,6) and a succession s width of 1 ({x}→2).

A special sub-system of the full system morpho is presented as the mono-contextural system morpho with a complexity of just two elements.

Further sub-systems to study are: morpho, morpho and morpho.

The full system morpho is well studied but is still not yet working technically in general for all possible steps of the evolution of some of its morphoCAs.

Nevertheless, some interesting results for morpho are accessible at:

http://memristors.memristics.com/DCKV-666/DCKV-666-final.html

The sub-automaton system morpho has potentially 65536 concrete automata realizations.

Some examples gets a further analyses with its GraphPlot representation.

claviatures

The concept of claviatures for generalized morphic cellular automata is presented at:

Additional information to the HTML-files are given with CDF-files.

http://demonstrations.wolfram.com/ClaviaturesForGeneralizedCellularAutomata/

And obviously at my website: http://memristics.com

Requisits for DCKV-(6,6,2)

Claviature of Mono-DCKV-(6,6,2)

Mono-DCKV-(6,6,2)-Examples I

Mono-DCKV-(6,6,2)-Examples II

Mono-DCKV-(6,6,2)-Examples III