# Emergent Patterning Phenomena in 2D Cellular Automata

@article{Bilotta2005EmergentPP, title={Emergent Patterning Phenomena in 2D Cellular Automata}, author={Eleonora Bilotta and Pietro S. Pantano}, journal={Artificial Life}, year={2005}, volume={11}, pages={339-362} }

This article discusses mechanisms of pattern formation in 2D, self-replicating cellular automata (CAs). In particular, we present mechanisms for structure replication that provide insight into analogous processes in the biological world. After examining self-replicating structures and the way they reproduce, we consider their fractal properties and scale invariance. We explore the space of all possible mutations, showing that despite their apparent differences, many patterns produced by CAs are…

## 31 Citations

### Self-Replicating Patterns in 2D Linear Cellular Automata

- Computer ScienceInt. J. Bifurc. Chaos
- 2014

The present work focuses on the theory of two-dimensional CA with respect to uniform periodic, adiabatic and reflexive boundary CA conditions and presents a successful application for generating pseudo numbers to be used in cryptography by hybridization of these 2D CA subfamilies.

### Structural and functional growth in self-reproducing cellular automata

- BiologyComplex.
- 2006

The dynamics of change in two-dimensional self-reproducers are analyzed, identifying the processes that drive their evolution and sketching these processes at the genotype and the phenotype level—showing that they follow distinct trajectories within mutation space and quantifying the degree of change produced by different trajectories.

### The Transition Rules of 2D Linear Cellular Automata Over Ternary Field and Self-Replicating Patterns

- Computer ScienceInt. J. Bifurc. Chaos
- 2015

This paper starts with two-dimensional (2D) linear cellular automata (CA) in relation with basic mathematical structure and investigates uniform linear 2D CA over ternary field, i.e. ℤ3 and deals with the theory 2D uniform periodic, adiabatic and reflexive boundary CA and the applications of image processing for patterns generation.

### Biological Traits in Artificial Self-Reproducing Systems

- ArtInt. J. Signs Semiot. Syst.
- 2012

An artificial taxonomy of 2-D, self-replicating cellular automata CA that can be considered as proto-organisms for structure replication is presented, with the relevance of modeling the evolution of living systems that can lead to a better understanding of the essential properties of life.

### Artificial Micro-Worlds Part II: Cellular Automata Growth Dynamics

- Computer ScienceInt. J. Bifurc. Chaos
- 2011

This paper analyzes an Artificial Micro-World obtained by evolving 2D k-totalistic Cellular Automata by Genetic Algorithms, using the metaphor of an Artificial Laboratory, and finds that there are different occurring dynamics.

### The One-Dimensional Exactly 1 Cellular Automaton: Replication, Periodicity, and Chaos from Finite Seeds

- Computer Science
- 2011

It is explained why replication is observed so frequently and a method for collecting the smallest periodic seeds is presented, assisted by algorithmic searches, for the Exactly 1 cellular automaton.

### Discrete Chaotic Dynamics from Chua's oscillator: Chua Machines

- PhysicsInt. J. Bifurc. Chaos
- 2009

A novel class of computational system that does not respect the classical constraints in Chua's circuit, and that generates chaotic dynamics via an iterative process based on discrete versions of the equations for Chua’s circuit and its variants is presented.

### Artificial Micro Worlds Part IV: Models of Complex Self-Reproducers

- Computer ScienceInt. J. Bifurc. Chaos
- 2011

A series of AMWs, belonging to Class 2 (complex AMWs which contain complex species of self-reproducers); Class 3 (which contains species ofSelf-re Producers with chaotic behavior) and Class 4 ( which contains species with hyper complex self- reproducers) are presented.

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