Inherent Generation of Fractals by Cellular Automata
نویسنده
چکیده
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 method can be generalized to cellular spaces of greater dimension. Then we give a method for embedding th e configurat ions into a closed interval to obt ain fract al patterns. We also define discrete dynamical systems for counting the minimum numb er of balls required to cover th e fractal pattern .
منابع مشابه
Robot Path Planning Using Cellular Automata and Genetic Algorithm
In path planning Problems, a complete description of robot geometry, environments and obstacle are presented; the main goal is routing, moving from source to destination, without dealing with obstacles. Also, the existing route should be optimal. The definition of optimality in routing is the same as minimizing the route, in other words, the best possible route to reach the destination. In most...
متن کاملBI-OBJECTIVE OPTIMIZATION OF RESERVOIR OPERATION BY MULTI-STEP PARALLEL CELLULAR AUTOMATA
Parallel Cellular Automata (PCA) previously has been employed for optimizing bi-objective reservoir operation, where one release is used to meet both objectives. However, if a single release can only be used for one objective, meaning two separate sets of releases are needed, the method is not applicable anymore. In this paper, Multi-Step Parallel Cellular Automata (MSPCA) has been developed fo...
متن کاملOptimization of Quantum Cellular Automata Circuits by Genetic Algorithm
Quantum cellular automata (QCA) enables performing arithmetic and logic operations at the molecular scale. This nanotechnology promises high device density, low power consumption and high computational power. Unlike the CMOS technology where the ON and OFF states of the transistors represent binary information, in QCA, data is represented by the charge configuration. The primary and basic devic...
متن کاملرمزنگاری تصاویر با استفاده از اتوماتای سلولی برگشت پذیر
In this paper, a new structure for image encryption using recursive cellular automatais presented. The image encryption contains three recursive cellular automata in three steps, individually. At the first step, the image is blocked and the pixels are substituted. In the next step, pixels are scrambledby the second cellular automata and at the last step, the blocks are attachedtogether and the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Complex Systems
دوره 8 شماره
صفحات -
تاریخ انتشار 1994