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What is Fractal Pattern

Handbook of Research on Natural Computing for Optimization Problems
A pattern, as per mathematical modeling, that exhibits organized repetition of same pattern after definite time interval.
Published in Chapter:
Cellular Automata-Basics: Applications in Problem Solving
Simanti Bhattacharya (University of Kalyani, India) and Angshuman Bagchi (University of Kalyani, India)
DOI: 10.4018/978-1-5225-0058-2.ch025
Abstract
Cellular Automata (CAs) are spatially arranged systems, composed of units or cells having distinct information and all are under uniform condition. This system gradually progresses with time evolution based on the local information following a specific rule and achieves a configuration that reflects the global scenario. It very efficiently mimics large complex system, segmented into local units and hence makes the calculations easy. The local changes are integrated in a synchronized manner to give the final outcome with the essence of robustness associated with simple and uniform functions applied throughout. This has made CA to be successfully applied in various fields of scientific researches. This book chapter describes the fundamental properties of CA and its structures. Then it advances to the simple rule construction and local to global configuration. Finally it discusses the vast applicability of CA in different segments of science, specifically in the field of biological researches.
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