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Title: Artificial Life/Cellular Automata - Five Cellular Automata Windows software implementing five cellular automata: q-state Life, Belouzov-Zhabotinsky Reaction, Togetherness, Viral Replication and Diffusion-Limited Aggregation; by Hermetic Systems.
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Five Cellular Automata Five Cellular Automata   Introduction The five cellular automata: q-state Life The Belousov-Zhabotinsky Reaction Togetherness Viral Replication Diffusion-Limited Aggregation Saving Images Algorithms Hardware requirements How to obtain the software Price and ordering Updates Here are successive images (reduced by 50% in width and height) showing typical screens for all five cellular automata (these are snapshots of dynamic screens): Fullsize screenshots are given in the subsections of this documentation. Introduction A cellular automaton consists of: (a) A structure of cells, such as the squares on a chess board. (b) A set of values or "states" such that each cell is associated with a particular state. (c) A set of rules describing how one state of the system (a particular configuration of cells in specific states) is to be transformed or converted to another state of the system. A simple and well-known example of a cellular automaton is John Conway's Life. In this we consider a square array of cells, each of which is either "dead" or "alive". The eight cells immediately adjacent to a cell are called its "neighbors". The rules governing the dynamics of the system are as follows: (i) In the transition from one "generation" to the next the state of each cell is changed once according to rules (ii) and (iii). (ii) A cell which is alive will remain alive in the next generation if there are two or three cells among its eight neighbors which are alive; otherwise it dies. (iii) A cell which is dead will remain dead in the next generation unless there are exactly three cells among its neighbors which are alive, in which case it becomes alive. Five Cellular Automata allows exploration of five different cellular automata. All of them use a 2-dimensional array of cells which can vary in size from 33x33 to 528x528. "Periodic boundary conditions" are used, meaning that the left edge of the array wraps around to contact the right edge, and the top edge of the array wraps around to contact the bottom edge. The structure is thus that of a torus, although it is easier to think of a 2-dimensional plane in which an unlimited number of copies of the square array are reproduced next to, and above and below, each other (and each copy changes in the same way). In each of these five automata the number of states is q (so that each cell is always in one of the states 1, 2, ..., q). The range of q depends on the automaton. The five cellular automata are: 1. An extended version of Life, called q-state Life. 2. A simulation of the Belousov-Zhabotinsky chemical reaction in which, beginning from a random state of the system, spirals and curlicues "spontaneously" emerge. 3. A process called Togetherness in which cells with random states move so as to maximize the number of neighbors of each cell in the same state as that cell (or, thought of in another way, in which the cells rearrange themselves so as to form maximal clusters of cells all having the same state). 4. Viral Replication, a simulation of a population of dividing cells subject to viral infection. 5. Diffusion-Limited Aggregation, illustrating a process in which particles diffuse (moving randomly) and aggregate to form a fractal structure. When the software starts it begins with the screen for one of the five cellular automata selected at random. An explanation of the workings of each of these cellular automaton, and how to explore them using the software, may be found by following the links above. Saving Images An image from any of the automata at any step may be saved to a .bmp file (817KB in size). After starting a run, and when the process is stopped or paused, a right-mouse-click (when the cursor is over the display) will bring up a dialog box asking if you wish to save the image. If so you can select the name and location for the .bmp file in which the image is to be saved: Hardware requirements: The software requires a video resolution of 800x600 or better. How to obtain the software: A demo version of the Five Cellular Automata software can be downloaded from this website. Click on the following link to go to a web page with further information about this version and about downloading it: Download Five Cellular Automata ... via our Kagi order form. or via our Share-it! order form. or if you prefer to purchase via PayPal: Paypal Price and ordering: A single-user license for Five Cellular Automata costs US$14.99, €9.99 or £7.75 (excluding any sales tax). Purchase via any of the links at right.  After a user license has been purchased an activation key can be obtained by email to make the demo version of the software fully-functional. An activation key can be sent immediately if purchasing via PayPal or Share-it.  (How?) Refund: A refund will be provided promptly up to 30 days after purchase if the software does not perform satisfactorily. Updates: Purchasers of a user license for this software are entitled to an update to any later version at no additional cost. The Complete Guide to Ordering and Activating Hermetic Systems Software Frequently Asked Questions Hermetic Systems Home Page
 

Windows

software

implementing

five

cellular

automata:

q-state

Life,

Belouzov-Zhabotinsky

Reaction,

Togetherness,

Viral

Replication

and

Diffusion-Limited

Aggregation;

by

Hermetic

Systems.

http://www.hermetic.ch/pca/pca.htm

Five Cellular Automata 2008 September

dvd rental

dvd


Windows software implementing five cellular automata: q-state Life, Belouzov-Zhabotinsky Reaction, Togetherness, Viral Replication and Diffusion-Limited Aggregation; by Hermetic Systems.

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