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Imaging the Iterons of Automata

p. 105-122

Abstract

We consider here the problem of imaging the iterons of automata. These are discrete counterparts of localized coherent structures from continues dynamical systems. Iterons emerge during iterated automata mappings performed over strings. They consist of filtrons (in serial processing) and particles (in cellular processing). The main problem with the visualization of iterons is their spreading over a medium that they propagate through. We propose here a solution to this problem, both for filtrons and particles; we identify M-segments or G-segments, respectively, which are determined by the activity of the underlying automata. Then we present various types of ST diagrams. Also, we present the new idea of embedding the observer into processing space. This entails the perceiving an event in various ways depending on the position of local observer (e.g. Doppler's effect). We showt hat Conway's glider (of basic period p = 4) in game of life cellular automaton can be seen as either p = 3 or p = 5 object depending on observer.

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References

Bibliographical reference

Pawel Siwak, « Imaging the Iterons of Automata », CASYS, 17 | 2006, 105-122.

Electronic reference

Pawel Siwak, « Imaging the Iterons of Automata », CASYS [Online], 17 | 2006, Online since 09 September 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=3108

Author

Pawel Siwak

Poznan University of Technology, 60-965 Poznan, Poland

Copyright

CC BY-SA 4.0 Deed