منابع مشابه
Inherent Generation of Fractals by Cellular Automata
In th is paper we propos e a method for generating fract al patterns using "classical" cellular automata. Although the prob lem of fractal generat ion for linear cellular automata has been st udied recently, this is not t he case for classical cellular automata. We first exhibit some basic techniques for the construction of the tr ansit ion function , which draws a Cantor set, and show how this...
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A cellular automaton is a discrete dynamic system of simple construction, yet capable of exhibiting complex self-organizing behavior. A cellular automaton can be used to model differential systems by assuming that time and space are quantized, and that the dependent variable takes on a finite set of possible values. Cellular-automaton behavior falls into four distinct universality classes, anal...
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1. INTRODUCTION. For more than twenty years, fractals have intrigued mathematicians and nonmathematicians alike due to their inherent beauty and widespread appearance in nature and computer graphics. Intuitively, a fractal is a geometric object with intricate detail on an arbitrarily small scale and some measure of self-similarity. Formally, a fractal is a metric space with topological dimensio...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1984
ISSN: 0166-218X
DOI: 10.1016/0166-218x(84)90082-9