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         Cellular Automata:     more books (100)
  1. C++ Simulations and Cellular Automata by Scott Robert Ladd, 1995-10
  2. Models of Massive Parallelism: Analysis of Cellular Automata and Neural Networks (E a T C S Monographs on Theoretical Computer Science) by Max Garzon, 1995-06
  3. Automata Implementation: 4th International Workshop on Implementing Automata, WIA'99 Potsdam, Germany, July 17-19, 2001 Revised Papers (Lecture Notes in Computer Science)
  4. Automata Networks in Computer Science: Theory and Applications (Nonlinear Science Theory & Applications) by Francoise Fogelman Soulie, Yves Robert, 1988-02
  5. Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis (Nonlinear Science) by R. L. Dobrushin, Vitaly I. Kryukov, 1991-02
  6. Neural and Automata Networks: Dynamical Behaviour and Applications (Mathematics and Its Applications) by E. Goles, Servet Martínez, 1990-04
  7. Cellular Image Processing by Tao Yang, 2001-05
  8. Statistical Physics, Automata Networks and Dynamical Systems (Mathematics and Its Applications)
  9. Implementation and Application of Automata: 6th International Conference, CIAA 2001, Pretoria, South Africa, July 23-25, 2001. Revised Papers (Lecture Notes in Computer Science)
  10. Evolution of Parallel Cellular Machines: The Cellular Programming Approach (Lecture Notes in Computer Science) by Moshe Sipper, 1997-04-11
  11. Nonlinear Workbook: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Wavelets, Fuzzy Logic - With C++, Java and SymbolicC++ Programs by Willi-Hans Steeb, 2003-02
  12. Computational mechanics of cellular automata: An example (SFI working papers) by James E Hanson, 1995
  13. Cellular automata theory (Technical report) by Alvy Ray Smith, 1969
  14. Simulation with Cellular Automata by Jorg R. Weimar, 1997

101. :: The Ca Extension ::
An implementation of cellular automata for the GIS software ArcView from ESRI.
the ca extension
installation ca config file
a short example
How to ... ... about
welcome to the homepage of the ca extension.
Here is an implementation of a Cellular Automata for GIS software ArcView from ESRI A definition of a Cellular Automata can be found here . Good starting points to read more about CA's are the several science directorys from e.g yahoo or from , or read in the newsgroup news:comp.theory.cell-automata ) more about CA's. This extension is part of my diploma thesis at the regional science institute (attention: website in German!) of Vienna University of Technology
It was written in cooperation with the Austrian Research Centers Seibersdorf (ARCS)
Klick here
to see what you can do with this program
The theoretical approach underlying this extension can be found here
The main purpose of this extension is to simulate (urban) land-use patterns. You need GRID data sets to run this extension. PLEASE NOTE: there is currently no verification of the simulation results available. That means: you should check your results very carefully
the key-features of the ca extension are:
Download the ca extension now!

102. Cellular Automata
cellular automata. cellular automata have been used as models in many areas of physical science, biology and mathematics, as well as social science.
Next: The Game of Life Up: Simulation for the Social Previous: Further Reading
Cellular Automata
Imagine a rectangular grid of light bulbs, such as one sees displaying scrolling messages in shops and airports. Each light bulb can be either on or off. Suppose that the state of a light bulb depended only on the state of the other light bulbs immediately around it, according to some simple rules. Such an array of bulbs would be a cellular automaton (CA). This chapter will show that simulations with complex behaviour can be built using the ideas of cellular automata, and that such simulations can model social dynamics where the focus is on the emergence of properties from local interactions. We start by defining what a cellular automaton is and then consider some standard examples, mainly developed within the physical sciences. These can be adapted to model phenomena such as the spread of gossip and the formation of cliques. This leads us to a more detailed consideration of some social science models, on ethnic segregation, relations between political states and attitude change. Finally, we show how CA models can be programmed. A cellular automaton has the following features:
It consists of a number of identical cells (often several thousand or even millions) arranged in a regular grid. The cells can be placed in a long line (a one-dimensional CA), in a rectangular array or even occasionally in a three dimensional cube. In social simulations, cells may represent individuals or collective actors such as countries.

103. 1D Boolean Cellular Automata
1 Dimensional Boolean cellular automata. Written by Paul Bourke September 1997. A boolean cellular automata is a collection of cells
1 Dimensional Boolean Cellular Automata
Written by Paul Bourke
September 1997 A boolean cellular automata is a collection of cells that can be in one of two states, on and off, 1 or 0. The states of each cell varies in time depending on the connections, called rules, between the cells. While there can be any arbitrary set of connections/rules govening the system a particular one will be considered here, namely, a linear strip of cells where the output at each time step of each cell is a function of the current state of the cell and the state of its two immediate neighbours. As an extra nicety, the two ends of the strip of cell are connected together to form a continuous band. For any particular cell its next value is determined by 3 values, its state and the state of its neighbours. This leads to at most 8 different transitions. For example, the rules might be as follows:
While not necessary, the rules decided upon apply to each cell in the strip. There are plenty of interesting dynamics possible without having variable rules across the strip. The simulation is "run" by setting an initial state and iteratively applying the rules for a number of time steps. In the first example the following rules are used.

104. Digital Philosophy -- Ed Fredkin
Edward Fredkin's papers exploring the idea of a world where all quantities in nature are finite and discrete, with a chapter on cellular automata.
Digital Philosophy Introduction to Digital Philosophy
(Current Draft) On the Soul
(2000 Draft Paper) Finite Nature
(1992 Paper) A New Cosmogony
(1992 Paper) A Physicist's Model
(1991 Paper) Digital Mechanics
(1990 Paper) Digital Mechanics
(2000 Draft of Book) Conservative Logic
(1982 Paper) Join Discussion Group
Send email to Ed Fredkin
... Home
Digital Philosophy (DP) is a new way of thinking about the fundamental workings of processes in nature. DP is an atomic theory carried to a logical extreme where all quantities in nature are finite and discrete. This means that, theoretically, any quantity can be represented exactly by an integer. Further, DP implies that nature harbors no infinities, infinitesimals, continuities, or locally determined random variables. This paper explores Digital Philosophy by examining the consequences of these premises. At the most fundamental levels of physics, DP implies a totally discrete process called Digital Mechanics. Digital Mechanics[1] (DM) must be a substrate for Quantum Mechanics. Digital Philosophy makes sense with regard to any system if the following assumptions are true:

105. The Math Forum - Math Library - Cellular Automata
This page contains sites relating to cellular automata. Browse and Search the Library Home Math Topics Dynamical Systems cellular automata.
Browse and Search the Library
Math Topics Dynamical Systems : Cellular Automata

Library Home
Search Full Table of Contents Suggest a Link ... Library Help
Selected Sites (see also All Sites in this category
  • Cellular Automata Dynamics - Rafael Espericueta
    Explorations of 0-, 1-, and 2-dimensional cellular automata; and applications of cellular automata to ecosystem modeling. A slide show of the table of contents of the book is available here, as well as the full text of the book, in pdf format. more>>
  • The Game of Life: (Serendip: Complex Systems) - Bryn Mawr College
    Order without a planner: play a Java game about a world consisting of locations that may or may not be occupied by life. At each step, life persists in any location where it is also present in two or three of the eight neighboring locations, and otherwise disappears (from loneliness or overcrowding). Life is born in any empty location for which there is life in three of the eight neighboring locations. What would life look like in such a world? Would it die out? Persist as a disordered, ever-changing blob? Create stable, discrete entities? Generate particular forms in the absence of a planner, an architect, a blueprint? Does it matter what the starting conditions are? With thanks to John Conway. more>>
  • Mirek's Cellebration: 1D and 2D Cellular Automata explorer - Mirek Wojtowicz
    A large (120+) collection of 1D and 2D Cellular Automata. The site includes a lexicon, gallery, pattern of the week, CA families, rules, patterns, and links, with a CA tutorial and art. Also free Windows and Java software running all listed rules. The original site in Poland is at
  • 106. Softology - Visions Of Chaos
    Home page of a versatile Windows software by Jason Rampe. The program covers cellular automata, Chaos, and Fractals.
    Main Gallery Software Links ... Contact Visions Of Chaos Overview Display Features Visions Of Chaos supports displaying of fractals in 2D and 3D using OpenGL. Create AVI Movies Most of the modes in Visions Of Chaos support output to BMP frame files which can then be converted to an AVI movie. The series of frames allows easy importing into any video editing software. Visions Of Chaos supports script files to fully customize AVI creation. Numerous scripts are included to get a feel for how the AVI generation works and what it can do. AVI movies can be 2D or 3D fractals. Other movie options supported include creating a complete color cycle of a fractal, 3D rotations, stereoscopic rotations, flying over a fractal in 3D and more. Printing Features Visions Of Chaos supports printing for many of the fractal types. Seeing as printers have a much higher resolution than any screen can give, you will see much more of the fine detail in images created. The Mandelbrot Poster feature allows you to print one fractal image across multiple pages, which can then be glued together to create huge wall sized fractal images. Chaos/Fractal Music Creation Cellular Automata music, Genetic Music, L-Systems music, and music based on mathematical sequences.

    107. Cellular Automata
    This is my first real Parrot program which implements a simple, deterministic cellular automata of the form described in Stephen Wolfram s book A New Kind of
    Cellular Automata Parrot Parrot Logo Home ... Miscellaneous This is my first real Parrot program which implements a simple, deterministic cellular automata of the form described in Stephen Wolfram's book "A New Kind of Science", Wolfram Media Inc., 2002, ISBN 1-57955-008-8, Contents Parrot Assembly Source Code Program Output Rule 45 Rule 57 ... Rule 225 Parrot Assembly Source Code # # # automata.pasm # # Parrot assembly program to implement a cellular automata of the form # described in Stephen Wolfram's book "A New Kind of Science", Wolfram # Media Inc., 2002, ISBN 1-57955-008-8, http::// # # Written by Andy Wardley Program Output The output of running the program with various rules is shown below. Rule 45 Rule 57 Rule 75 Rule 86 Rule 105 Rule 109 Rule 110 Rule 129 Rule 131 Rule 150 Rule 154 Rule 182 Rule 225
    computers/parrot/automata.html last modified 16:51:00 14-Nov-2003

    108. Cellular Automaton
    A Java Applet for simulating all kind of cellular automata, including Conway's Game Of Life or snowflake generation rules. By Frank BuŸ.
    Cellular Automaton
    Content on this website
    Links to other websites
    If you like this site, then feel free to support me with a PayPal donation, because then I can add more free content. Euro: U.S. Dollars: 7. January 2004

    109. Cellular Automaton
    Fun introduction to cellular automata with interactive Java applets, including the game of life, a simulation of animal skin patterns and a screen saver.
    Fun with cellular automata
  • One-dimensional cellular automata Game of life Simulation of animal patterns Screen saver
  • Note: Your browser must have Java enabled to use the applets on these pages.
    One-dimensional cellular automata
    A cellular automaton is a group of cells that evolves only by nearest neighbor interaction. They are thought to be able to represent the evolution of living organisms and minerals. In one dimension, the cells are a line of points. Each point has a value, represented by a color. The evolution of each point is determined by its value and by the value of the neighboring points. By setting some simple rules for evolution, and picturing the evolution of the line of cells, it is possible to obtain very complex and beautiful patterns. Here are some examples giving an idea of the diversity of image that can result: In above examples, each point can take the values 0, 1, 2, or 3, corresponding respectively to the colors black, red, green, and blue. The initial state (i.e. the top line) is chosen randomly. Then, the cells evolve from top to bottom according to a set of rules, each line representing a step of evolution. How many rules are possible? If we consider only nearest neighbour interaction, and four colors, we have 4x4x4 = 64 different patterns possible of three cells. A rule of evolution is a function that relates each of these 64 patterns to one color. There are 4^64 patterns possible : it is a huge number, approximately 34000000000000000000000000000000000...

    110. NetPlay Software - Groovy Lava And Strike-A-Light
    cellular automata software that uses probability theory with Conway's game of life rules to produce new and beautiful animations using DirectX 8.0.
    Home Groovy Lava Strike-A-Light Instant Demo ... How to Buy Search NetPlay Bookmark this Site
    Welcome to NetPlay Software
    Strike-A-Light! Groovy Lava! Teachers please click here Warning! tic-tac-toe
    taken to the extreme! This game is serious fun! Full Game Details Learn the rules in 30 seconds... See if you can beat the computer and your friends! Wings of chaos What do screensavers, Winamp visualization and Mathematical CHAOS all have in common? Find out with Groovy Lava! Life, the Universe and Cellular Automation See More Examples... Strike-A-Light! ...
    Buy Now!
    only $19.95 30 Day Money Back Guarantee! Groovy Lava!
    Buy Now!
    only $19.95 30 Day Money Back Guarantee! Groovy Lava and Strike-A-Light Challenge are trademarks of NetPlay Software. Home Groovy Lava Strike-A-Light Instant Demo ... NetPlay

    111. Cellular Automata
    cellular automata. Plural of CellularAutomaton. EditText of this page (last edited June 14, 2000) FindPage by searching (or browse

    112. Discrete, Amorphous Physical Models - Cellular Automata, Physics, Models Of Comp
    Minimal discrete models. cellular automatalike animations without grids or synchronization; by Erik Rauch.
    Discrete, Amorphous Physical Models
    Erik Rauch
    How minimal can a discrete model be?
    Discrete models of physical phenomena are an attractive alternative to continuous models such as partial differential equations. In discrete models, such as cellular automata, space is treated as having finitely many locations per unit volume and time is discrete, whereas continuous models (e.g. Schroedinger's equation, and most field theories) specify detail down to infinitesimal spatial and time scales. But all existing discrete models depend critically on a regular (crystalline) lattice, as well as the global synchronization of all sites. We should ask, on the grounds of minimalism, whether the global synchronization and regular lattice are inherent in any discrete formulation. Is it possible to do without these conditions and still have a useful physical model? Or are they somehow fundamental?
    Transcript (with slides) of invited talk
    given at the NSF Digital Perspectives on Physics workshop, July 25, 2001
    Discrete, Amorphous Physical Models

    113. Cellular Automata
    Translate this page Automates cellulaires. Quelques exemples utilisant SVG et javascript. Automate cellulaire règle de croissance basée sur les trois
    Automates cellulaires Quelques exemples utilisant SVG et javascript Automate cellulaire règle de croissance basée sur les trois cellules du dessus
    ( vous choisissez votre règle et les cellules de départ ) Jeu de la vie de C onway
    ( Vous choisissez parmi les exemples proposés ou créez le votre pour commencer le jeu ) Charger ces exemples dans un fichier Zip ( 3.7 ko )

    114. Discrete Dynamics Lab
    Tools for researching discrete dynamical networks from cellular automata to random boolean networks; by Andrew Wuensche.
    Discrete Dynamics Lab HOME PAGE
    Tools for researching discrete dynamical networks - from Cellular Automata to Random Boolean Networks and beyond
    Andy Wuensche (new email as of July 2003) DDLab mirror sites:
    Note: DDLab is no longer hosted at SFI as of July 2003. Discrete Dynamics, Inc.
    7 Calle Andreita, Santa Fe, New Mexico 87506, USA
    New Release multi-value
    New features
    DD-Life ... Thesis
    DDLab release - Dec 2003
    Version m04 (multi-value)
    Announcing the release of multi-value DDLab Version m04.
    The Mac and Irix versions are now available.
    Click here for a summary of changes. This is a major update. The two most significant changes:
    • Generalizing all aspects of DDLab for multi-value logic (up to 8 values or colors), instead of just Boolean logic (0,1). Click here for some examples.
    • Methods for finding multi-value "life"-like dynamics in 2d and 3d, with a variety of complex interacting/propagating structures: gliders, gliders-guns, self-replication, spirals and predator-prey dynamics. Some amazing examples are provided. Click here for details and instructions for running these complex rules.

    115. Cellular Automata
    cellular automata. Some examples using SVG and javascript. Cellular automaton by row based uppon three cells above ( you choose rules and cells to begin ).
    Cellular automata Some examples using SVG and javascript Cellular automaton by row based uppon three cells above
    ( you choose rules and cells to begin ) Conway's life game
    ( you can choose some example or your cells to start ) Load this examples in zip file ( 3.7 ko )

    116. Bookmarks On Cellular Automata
    Bookmarks on cellular automata. Personal Toolbar Folder. A little of everything It is a very good starting point for research into cellular automata.
    Bookmarks on Cellular Automata
    Personal Toolbar Folder
    A little of everything...
    Ariel Dolan's Home Page (Java Artificial Life)
    A web-oriented artificial-life site: alife, genetic-algorithm and cellular automata experiments written in cross-platform web languages (java, tcl/tk), with free source code.
    Mirek's Cellebration
    Probably the biggest resource on general CA available on the Internet.
    Artificial Life Online
    Many of the links on this list branch off of this page. It is a very good starting point for research into Cellular Automata.
    Another good starting point into for researching Cellular Automata.
    Cellular automata
    Another good page of information on Cellular Automata including some Java programs simulating Cellular Automata.
    Computational Mechanics Home Page
    This branched off of the "Artifical Life Online" page and is a good resource for papers on Cellular Automata.
    The World-Wide Web Virtual Library: Complex Systems
    "Complex systems" concerns the nature and consequences of interactions and non-linearities in systems of many objects. It includes topics such as artificial life, cellular automata, chaos, criticality, evolutionary computation, fractals, parallel computation, self-organization."
    Java examples
    Exploring Emergence
    An active essay on Cellular Automata using Java.

    117. David Ingalls Bell's Homepage
    Articles on Conway's Game of Life and related cellular automata, free Unix software, archives of Life and other CA patterns.
    The home page of David Ingalls Bell
    I am a computer programmer of much experience with an interest in science and mathematics. I was born and educated in the United States, but I now live in Canberra, Australia. My hobbies include Astronomy, Linux, and Conway's Game of Life. I am appreciative of the large amount of free software (with sources) that many others have written, and am happy that I have my own software to offer in return. This page has links to the best bits of it, mostly for UNIX and Linux. My EMail address is:
    Here are some of the freely available programs that I have written:
    • BrowserWatcher 1.0 - Java application to watch HTTP connections made by your browser. calc - an arbitrary precision programmable calculator with a C-like syntax. up 0.9 - a user-mode pipeline library and utility (experimental). dblife 7.3 - a Life program running under X11 and UNIX with many editing features. - allows specified users to run certain commands as root. lifesrc 3.8 - a program that finds oscillators. hashlife 1.5

    118. Minding The Planet: Cellular Automata
    This is similar to cellular automata rules such John Conway s game of Life. March 29, 2004. Finding Primes Using cellular automata.
    Minding the Planet
    About Me Add me to your TypePad People list Syndicate this site (XML)
    Photo Albums
    Radar Networks
    Featured Ideas
    People I Like
    • Joi Ito
      Joi is smart. He does a lot of blogging. He has a video camera on his Mac laptop that he uses for wireless videoconferencing. He lives in Japan. Kris Thorisson
      Kris has been working with me for years on the design of the Radar Networks software, a new platform for the Semantic Web. He has a PhD from the MIT Media Lab. He designs intelligent humanoids and virtual realities. He is from Iceland, which makes him pretty cool. Jim Wissner
      Jim is among the most talented software developers I've ever worked with. He's a prolific Java coder and an expert on XML. He's the lead engineer for Radar Networks. Marin Spivack
      This is my brother's site for Tai Chi he's been studying and practicing extensively for years and now he's a teacher. I think he is probably one of the best, most authentic, Tai Chi teachers in the USA now. Debra Rodman
      Debra is a good friend; she's a really talented fashion designer. She started the yoga fashion craze. Check out her site.

    119. Jason's Life Page
    Patterns and resources for Conway's Game of Life and related cellular automata by Jason Summers.
    Jason's Life Page
    This web site is about Conway's Game of Life and related cellular automata. It is primarily a repository of interesting Life patterns. If you need an introduction to the Game of Life, there are many good web sites, such as this one , where you can learn the basics.
    • Pattern collections
    Collection name Description Owner Updated Jason's pattern collection download
    My main collection. Contains patterns by many people, but unfairly biased toward my own. ( more info Jason Summers 15 May '04 Oversize patterns download
    Patterns that are very large or very slow. A supplement to the previous collection. Jason Summers 31 Oct '03 c/2 rakes download
    c/2 orthogonal rakes (and spaceships and puffers) of various periods. ( more info Jason Summers 11 Feb '04 True guns download
    A reference collection of basic glider guns. ( more info Jason Summers 04 Apr '04 Wicks download
    Extensible oscillators; mostly untamed and useless. ( more info Jason Summers 11 Feb '04 Slide guns download
    Slide guns and tethered rakes: gun-like patterns that fire each glider on a different path. Jason Summers 18 Oct '03 download
    Some miscellaneous things I haven't put in my main collection.

    120. LifeLab
    Andrew Trevorrow's Macintosh application for exploring John Conway's Game of Life and other 2D cellular automata.



    Shareware by Andrew Trevorrow System requirements
    Main features

    Screen images

    Shareware fee and support
    Life-related links
    LifeLab is a Mac application for exploring John Conway's Game of Life and other cellular automata. CAs were first studied in the mid-1950s by Stanislaw Ulam and John von Neumann. The subject became much more widely known in 1970 when Life was described by Martin Gardner in his Scientific American column. Life is played on an arbitrary-sized grid of square cells. Each cell has two states: "dead" or "alive". The state of every cell changes from one "generation" to the next according to the states of its 8 nearest neighbors: a dead cell becomes alive (a "birth") if it has exactly 3 live neighbors; a live cell dies out if it has less than 2 or more than 3 live neighbors. The "game" of Life simply involves starting off with a pattern of live cells and watching it evolve. Even though the rules for Life are completely deterministic, it is impossible to predict whether an arbitrary starting pattern will die out, or start oscillating, or fill the grid. Life and other CAs provide a powerful demonstration of how a very simple system can generate extremely complicated behavior.
    System requirements
    LifeLab is a Carbonized app that runs natively on OS X. It also runs on OS 8.6/9.x if CarbonLib 1.3 or later is installed.

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