scholarly journals Measuring Behavioral Similarity of Cellular Automata

2021 ◽  
pp. 1-10
Author(s):  
Peter D. Turney
Keyword(s):  
Cellular Automata ◽  
Large Family ◽  
Self Organization ◽  
Behavioral Characteristics ◽  
Game Of Life ◽  
Class System ◽  
Behavioral Similarity ◽  
The Family ◽  
Turing Complete ◽  
Conway’S Game Of Life

Abstract Conway's Game of Life is the best-known cellular automaton. It is a classic model of emergence and self-organization, it is Turing-complete, and it can simulate a universal constructor. The Game of Life belongs to the set of semi-totalistic cellular automata, a family with 262,144 members. Many of these automata may deserve as much attention as the Game of Life, if not more. The challenge we address here is to provide a structure for organizing this large family, to make it easier to find interesting automata, and to understand the relations between automata. Packard and Wolfram (1985) divided the family into four classes, based on the observed behaviors of the rules. Eppstein (2010) proposed an alternative four-class system, based on the forms of the rules. Instead of a class-based organization, we propose a continuous high-dimensional vector space, where each automaton is represented by a point in the space. The distance between two automata in this space corresponds to the differences in their behavioral characteristics. Nearest neighbors in the space have similar behaviors. This space should make it easier for researchers to see the structure of the family of semi-totalistic rules and to find the hidden gems in the family.

scholarly journals Conway's game of life and the ecosystem represented by Uexküll's concept of Umwelt

2001 ◽  
Vol 29 (1) ◽  
pp. 63-69
Author(s):  
Solomon Marcus
Keyword(s):  
Cellular Automata ◽  
Mathematical Ecology ◽  
Ecological Processes ◽  
Game Of Life ◽  
Grammar Systems ◽  
Conway’S Game Of Life

Inspired by a mathematical ecology of thearre (M. Dinu) and the eco-grammar systems (E. Csuhaj-Varju et al.), this paper gives a brief analysis of simple cellular automata games in order to demonstrate their primary semiotic features. In particular, the behaviour of configurations in Conway's game of life is compared to several general features of Uexküll's concept of Umwelt. It is concluded that ecological processes have a fundamental semiotic dimension.

scholarly journals Segmentation of Brain MRI with Tumor by Image Overlapping using Cellular Automata

2019 ◽  
Vol 8 (4) ◽  
pp. 8487-8490
Keyword(s):  
Cellular Automata ◽  
Brain Mri ◽  
Medical Science ◽  
Human Beings ◽  
New Approach ◽  
Medical Practitioners ◽  
Game Of Life ◽  
Segmented Image ◽  
Gray Level Image ◽  
Conway’S Game Of Life

In order to improve the health care reach, we need efficient and fast computer aided simulation processes or algorithms. When some change is found in pathological reports and biomedical quantities, the person is susceptible to diseases. If the diseases are detected earlier then there can be increase in the rate of mortality. Tumor is one such disease which has been seen to be one of the most fatal for human beings. Detecting and removing tumor is big challenge for medical practitioners. Medical image processing can be used through cellular automata has proven to be one of the fast and reliable method for detection of tumor cells. To study the capabilities of medical science CA’s are being used extensively, as they are useful in studying the selfreproducing biological systems. Purpose: This paper presents an algorithm for segmentation of MRI image through cellular automata, using Conway’s Game of Life. A new approach is being used in this paper, first the image is converted into gray level image. Then edge detection is done for this image using Game of Life. This edge detected image is overlapped with the gray scale image to get the resulted segmented image as an output. Materials and Methods: In order to run the proposed algorithm MATLAB2019b is used and the images are obtained. Results: Algorithm was used on different MRI’s and the results were taken.

TrueLife – Evolving the Game of Life

2017 ◽  
Author(s):  
Kent Fenwick
Keyword(s):  
Quantum Theory ◽  
Cellular Automata ◽  
Cellular Automaton ◽  
Model System ◽  
Game Of Life ◽  
Current State ◽  
Emergence Theory ◽  
Unique Aspect ◽  
Conway’S Game Of Life ◽  
Scientific American

John Conway’s Game of Life, published in Scientific American in 1970 is an attempt to model the behavior  of life using a 2D cellular automaton. Although a breakthrough discovery for cellular automata and  emergence theory, the game is restricted and incomplete due to its static, simplified rules. We will show that the game does not model life accurately and propose an alternative: TrueLife. TrueLife is a non­  deterministic, non­local, evolving Game of Life variant that we believe is more complete than Life for  several key reasons. TrueLife is unique since at each generation a rule is chosen randomly from a list and  applied to the current state. This allows the game to be inherently non­deterministic since it is impossible to know which rule is being applied at a given iteration. TrueLife will also be a learning simulation where rules that produce better results will be applied more frequently. Another unique aspect of TrueLife is the motivation behind the rules. The original Life rules are Darwinian and selfish acting only on local inputs that lead to local outputs. TrueLife’s rules will be non­local and act globally across the entire grid. TrueLife’s rules were formalized by drawing on much broader areas of science such as ecology, psychology and quantum theory. We are currently in the process of finding a model system to which  TrueLife would be best suited.

Conway’s Game of Life in Quantum-dot Cellular Automata

2021 ◽  
pp. 104972
Author(s):  
Orestis Liolis ◽  
Georgios Ch. Sirakoulis ◽  
Andrew Adamatzky
Keyword(s):  
Cellular Automata ◽  
Quantum Dot ◽  
Quantum Dot Cellular Automata ◽  
Game Of Life ◽  
Conway’S Game Of Life

scholarly journals SELF-ORGANIZATION AND EVOLUTION SYSTEM SIMULATION BY THE CONTINUOUS NONSYNCHRONIZING CELLULAR AUTOMATA

2014 ◽  
pp. 61-71
Author(s):  
Vladimir Zhikharevich ◽  
Sergey Ostapov
Keyword(s):  
Heat Transfer ◽  
Cellular Automata ◽  
Discrete System ◽  
System Simulation ◽  
Self Organization ◽  
Evolution System ◽  
Wave Interference ◽  
The Difference ◽  
Conway’S Game Of Life ◽  
Life Behavior

This paper deals with the modeling of the same systems on the base of nonsynchronizing cellular automata. This approach have been approved for the exponential dependencies, heat transfer, diffusion and wave interference, discrete system, like Conway’s Game of Life, behavior. The modeling of the evolution of the wave-like system also has been carrying out. The proposed method has been modified for the modeling of the evolution processes. This modification consists in algorithm, which taking into account the difference between local interactions rules.

A Simple Three-States Cellular Automaton for Modelling Excitable Media

1998 ◽  
Vol 12 (05) ◽  
pp. 601-607 ◽  
Author(s):  
M. Andrecut
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Cellular Automata ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Self Organization ◽  
Partial Differential ◽  
Bz Reaction

Wave propagation in excitable media provides an important example of spatiotemporal self-organization. The Belousov–Zhabotinsky (BZ) reaction and the impulse propagation along nerve axons are two well-known examples of this phenomenon. Excitable media have been modelled by continuous partial differential equations and by discrete cellular automata. Here we describe a simple three-states cellular automaton model based on the properties of excitation and recovery that are essential to excitable media. Our model is able to reproduce the dynamics of patterns observed in excitable media.

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