81. Wei Qi, Cellular Automata, Ising Model, Feynman Checkerboard Cellular Automata and Quantum Computation A single CELLULAR AUTOMATON STATE configuration is one of all possible initial states. Choice of a particular single configuration is http://www.valdostamuseum.org/hamsmith/ficw2.html

Tony's Home Cellular Automata are like Wei Qi and similar to Feynman Checkerboards which, in 1+1 dimensions, are isomorphic to 1-dimensional Ising Models Cellular Automata and Quantum Computation A single CELLULAR AUTOMATON STATE configuration is one of all possible initial states. Choice of a particular single configuration is a RANDOM choice. In his book A New Kind of Science Stephen Wolfram says (at page 771): "... In present-day physics the standard mathematical formalism of quantum mechanics is often interpreted as suggesting that quantum systems work like multiway systems, potentially following many paths in parallel. And indeed within the usual formalism one can construct quantum computers that may be able to solve at least a few specific problems exponentially faster than ordinary Turing machines. But ... I strongly suspect that even if this is formally the case, it will not turn out to be a true representation of ultimate physical reality ...". I strongly disagree with Wolfram - in my opinion, quantum information and quantum game theory , as expressed in VoDou Physics , does in fact truly represent ultimate physical reality.

82. Game Of Life Information Object catalogs and a blog describing new developments in the Game of Life. http://www.pentadecathlon.com/

@import url(life.css); Information on the Game of Life Site Navigation Home Links Life Objects Herschel Tracks ... Life News Recent Posts Gemini guns New Adam P. Goucher 2010-Jul-30 Oblique Life spaceship created New Adam P. Goucher 2010-May-19 New Period 45 Glider Gun New Glider Guns HKoenig 2010-Apr-29 The Continuing Search for a Microreflector New Open Problems Adam P. Goucher 2010-Mar-16 Prime numbers New Engineered Objects Adam P. Goucher 2010-Feb-04 Contribute Ads Find Objects Find By ID ID: email1 = new Rollover("email1", "img1", "/images/email-life", 137, 14); Site Info Email: Last update: 11 April 2006 Support this Site You can make this appeal go away for the next few months. Make a contribution by clicking on one of the buttons to the left. Be sure to have cookies from this site enabled when you return. Included are catalogs of known objects in various classes, object constructions, glider collisions, Herschel track components, oscillator rotors and inductor components, and other information. The Game of Life is a 2-D cellular automata, first introduced in

83. Cellular Automata Cellular automata consist of some sort of a grid of cells whose state from generation to generation is determined by a set of rules relating to the state of http://www.mat.ucsb.edu/~g.legrady/academic/courses/04w122/ca.html

2004 W Arts 122 Cellular Automata Cellular automata consist of some sort of a grid of cells whose state from generation to generation is determined by a set of rules relating to the state of the cell and that of its neighbors. Such a system allow us to produce complex behaviors from simple rules. Algorithmic Images http://ciks.cbt.nist.gov/~garbocz/hermite/node3.html http://www.ai.mit.edu/projects/im/broch/ (CAM8: a Parallel, Uniform, Scalable Architecture for Cellular Automata Experimentation) http://psoup.math.wisc.edu/mcell/ca_gallery.html http://home.istar.ca/~tajeri/LINKS.htm http://www.collidoscope.com/modernca/ (Color Cellular Automata Images) Demos http://iat.ubalt.edu/courses/old/idia750.085_F02/cellAut.shtml (Flash Example, School of Information Arts and Technology, 2003) http://math.hws.edu/xJava/CA/HandCraftCA.html http://meru.rnet.missouri.edu/courses/cecs361/projects/ws99/3d_life/web_pages/catalog.html (3d life visualization) http://members.optusnet.com.au/thekingdoms/download/index.html#HexCells

84. Cellular Automata Models In Java Cellular Automata models in Java. This page contains links to several cellular automata Java applets. They are still very unpolished prototypes, but available to play around with. http://www.math.umaine.edu/~hiebeler/java/CA/CellularAutomata.html

University of Maine Home SPEED Lab Cellular Automata Java Applets Cellular Automata models in Java This page contains links to several cellular automata Java applets. They are still very unpolished prototypes, but available to play around with. Feedback is welcome. The source code is not being widely released yet. I plan to clean up the code when I have time, and then release it. If you really want it before then, please contact me. To see the applets, you need a Java-compatible browser, with a relatively recent version of Java (if things don't work properly, try checking to see if there is a newer version of Java than what you currently have installed). And of course Java support has to be turned on. See below for more information on Java and web browsers The Applets You may want to skip down to the brief introduction to cellular automata , or more information about the controls in the applets before you actually run them. Here are the applets so far (hopefully more will be added later): Conway's Game of Life , a well-known cellular automaton in which sites die if they are too "lonely" or "crowded" but persist otherwise, and dead cells become alive if the population density in the neighborhood is at an intermediate level.

85. The Primordial Soup Kitchen Colorful images and Java movies of Cellular Automata, with recipes to explain their genesis. Also some tasty Real Recipes. By David Griffeath. http://psoup.math.wisc.edu/kitchen.html

Introduction What's Cooking? 2000 PSK Calendar PSK Search ... CAffeine (Java) Kitchen Shelf Kitchen Sink Lagniappe Specialties I II Sign the Guestbook Research I II EAT (Real Recipes) Download Software: © David Griffeath Vita kudos browser issues

86. Fractals And Cellular Automata At Daniel Shiffman Sep 19, 2008 Cellular automata were studied in the early 1950s as a possible model for biological systems (Wolfram 2002, p. 48). Comprehensive studies of http://www.shiffman.net/teaching/nature/week7/

daniel shiffman Blog Bio Teaching ... Fractals and Cellular Automata Back to The Nature of Code Examples download zipped archive of all examples koch curve tree (recursive function) tree ... L-System Additional Examples from Processing.org Recursion Recursion 2 Penrose Tile CA 1 (another Game of Life implementation) ... CA 3 Related: The Computational Beauty of Nature , Scientific American, 1970 Exploring Emergence , Mitchel Resnick and Brian Silverman Epistemology and Learning Group MIT Media Laboratory A History of Cellular Automata , Wolfram Science Fractals and Recursion Benoit Mandelbrot coined the term fractal n , usually written as n! is defined as: n! = 1 * 2 * 3 * 4 * . . .* n 0! = 1 We might write a function to do this in processing like: but we can also define factorial as: n! = n * (n-1)! 0! = 1 The same principle can be applied to a drawing application. Examine the following method. All recursive functions must have an exit condition! Note the use of and stack ) combined with using push/pop to store the transformation states allows for recursion to work beautifully here. Just try achieving the same result with simple iteration! The above examples illustrate the recursive process via functions that call themselves. We can achieve similar results using a Java

87. About Cellular Automata Introdution to Onedimensional Cellular Automata. A one-dimensional cellular automaton consists of two things a row of cells and a set of rules . http://math.hws.edu/xJava/CA/CA.html

Introdution to One-dimensional Cellular Automata A one-dimensional cellular automaton consists of two things: a row of "cells" and a set of "rules". (There are also two-dimensional cellular automata, which use rectangular grids of cells, but from now on when I say "cellular automaton" or just "CA", I will mean "one-dimensional cellular automaton".) Each of the cells can be in one of several "states". The number of possible states depends on the automaton. Think of the states as colors. In a two-state automaton, each of the cells can be either black or white. Of course, you might just as easily use purple and orange to represent the states, if you thing that's prettier. In a three-state automaton, the states might be black, red, and blue. A CA doesn't just sit there. Over time, the cells can change from state to state. The cellular automaton's rules determine how the states change. It works like this: When the time comes for the cells to change state, each cell looks around and gathers information on its neighbors' states. (Exactly which cells are considered"neighbors" is also something that depends on the paticular CA.) Based on its own state, its neighbors' states, and the rules of the CA, the cell decides what its new state should be. All the cells change state at the same time. You should think of the row of cells as a miniature "world" that runs through a sequence of "years" or "generations." At the end of each year, all the cells simultaneously decide on their state for the next year.

88. ISU Complex Computation Lab 2D general-purpose cellular automata simulators for Unix or Java at Iowa State University. http://www.complex.iastate.edu

Hui-Hsien Chou David Arends Hyejin Cho Jennifer Hurban ... Developer Info Last modified October 6, 2010 Contact Webmaster

89. Automata - Agents Of Life Within Introduction to cellular automata and other types including the Game of Life, and their applicability to artificial life, nanotechnology, mind and society. We also cover the http://www.calresco.org/automata.htm

Automata - Agents of Life Within by Chris Lucas "On mechanical slavery, on the slavery of the machine, the future of the world depends." Oscar Wilde, The Soul of Man Under Socialism, 1895 Introduction In this introduction we will look at some building blocks of organisation, both in terms of life (real and artificial) and in the structure of inorganic materials. We will investigate Cellular Automata and relate these to computers, brains and cells, plus speculate on the future goals of nanotechnology. Understanding Automata Firstly what exactly is an automaton ? Most people will recognise the word as one applied to a mechanical toy that emulates some apparently living behaviour. Within our field this is generalised to any system that has a finite number of internal states and moves between those states by following specified rules - this is a form of mapping (input to output, similar to a computer program). An automaton is also an agent in ALife terms, although agents can also occur in many other forms. An agent is an entity that can interact with its surroundings and usually changes its own state as a result. If we bring together a collection of such agents and allow them to interact then we have an automata system. Cellular Automata If we assume automata to be fixed (not mobile) we can equate them with cells in a structure. This structure could be living, molecular, mechanical - any form in fact. This gives us a Cellular Automata (CA), a structure that, whilst static in physical form and space, can exhibit dynamic behaviour in time -

90. Free Software Of Mirek Wojtowicz 1D and 2D Cellular Automata viewer, explorer and editor by Mirek Wojtowicz. Huge libraries of CA rules and patterns, gallery of CA rules, news, links. Free 32-bit Windows MCell software. http://www.mirekw.com/

Welcome to Mirek's Free Software Site [Cellular Automata ] MCell MJCell PINs ... Yahdice [ Miscellaneous ] RSDemon SetiMSpy Whole Web This site only All software is provided to you on an "as is" basis, and is used by you at your own risk. I will not be responsible for any loss or damage Webmaster: Mirek Wojtowicz (Mirosław Wójtowicz) http://www.mirekw.com http://www.mirwoj.opus.chelm.pl Last update: Aug 28, 2006 (drn) Photoalbum

91. Cellular Automata From Encyclopedia Of Nonlinear Science | BookRags.com Cellular Automata from Encyclopedia of Nonlinear Science. Cellular Automata summary with 5 pages of research material. http://www.bookrags.com/tandf/cellular-automata-tf/

92. Mirek's Java Cellebration General Cellular Automata Java applet running over 200 rules from 12 CA families, equipped with a big library of patterns. By Mirek Wojtowicz. http://www.mirekw.com/ca/mjcell/mjcell.html

Mirek's Java Cellebration v.1.51 what's new? Go back to MCell Home Mirek's Java Cellebration (MJCell) is a Java applet that allows playing 300+ Cellular Automata rules and 1400+ patterns. It can play rules from 13 CA rules families: Generations Life Vote Weighted Life ... Larger than Life , and some of the User DLLs . It allows also to experiment with own rules. The applet is a simplified version of MCell. It does not offer extended features of MCell, but has one advantage over it: its usage is not restricted to MS Windows. Full source code of the applet is available here . You can also download the full off-line version equipped with a rich library of patterns. You should also download this version if you plan to put the MJCell applet on your own Web page. To start the applet, click on the "Start" button below. The applet will show up in its own window. For the description of all rules available in the applet refer to the CA rules page Sign my MJCell GuestBook Read my MJCell GuestBook [ GuestBook by TheGuestBook.com

93. Cellular Automata In Image Processing 1 Introduction File Format PDF/Adobe Acrobat Quick View http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.13.455&rep=rep1&

94. Cellular Automata (VLab Virtual Complexity Lab) The increasing prominence of computers has led to a new way of looking at the world. This view sees nature as a form of computation. That is, we treat objects as simple http://vlab.infotech.monash.edu.au/tutorials/cellular-automata/

95. Algorithms Based On Rule 110 Tiles Papers and other documents by Abdiel Caceres Gonzalez related with computability in normal evolutions of cellular automata, in particular with evolution rule 110, some studies about entropy and tiling with software for mac os X. http://computacion.cs.cinvestav.mx/~acaceres

96. Mirek's Cellebration - 1-D And 2-D Cellular Automata Viewer, Explorer And Editor Feb 23, 2005 This site is devoted to Cellular Automata, one of the most intriguing and admirable aspects of mathematics. Perhaps you have already heard http://www.mirekw.com/ca/

Welcome to Mirek's Cellebration 1D and 2D Cellular Automata explorer by Mirek Wojtowicz Cellular Automata What is MCell? CA rules lexicon CA gallery ... Home T his site is devoted to Cellular Automata, one of the most intriguing and admirable aspects of mathematics. Perhaps you have already heard about the Game of Life, one of oldest and best-explored Cellular Automata. Game of Life is only a tip of a large cellular iceberg. Actually, the count of even simple Cellular Automata is estimated to be *much* larger then the count of particles in our Universe! I decided to explore a bit of this huge world. To do it I developed my own Cellular Automata simulator, MCell, and with help from many people I collected a big library of Cellular Automata families, rules, and patterns. You can see much of my collection on these pages. Anyhow, the pages show only a static side of Cellular Automata. Cellular Automata are in fact very dynamic, so I strongly encourage you to download the free MCell software and/or run the MJCell Java applet to see the patterns running! And then, who knows, maybe you will also add something new to the Cellular Automata world?

97. Cellular Automaton A Java Applet for simulating all kind of cellular automata, including Conway s Game Of Life or snowflake generation rules. By Frank Bu . http://www.frank-buss.de/automaton/index.html

Cellular Automaton Content on this website Totalistic Explorer Universal 2D quadratic and hexagonal cellular automaton applet 1D cellular automaton (work in progress) Some experiments with rule 30 using Python ... All applets, sources, pictures etc. packed for offline viewing (large! 2 mb) Links to other websites Cellular Automaton FAQ Description and links to automaton theory and cellular automata 27. April 2005

98. Cellular Automata Tutorial These assumptions do not hinder the system s emergent behavioron the contrary, even 1-Dimensional Cellular Automata exhibit emergent behavior including http://www.colorado.edu/physics/pion/srr/catutorial/

Launch the Interactive Tutorial via Java Web Start Cellular Automata in one dimension: A Simple Dynamical System Interactive Tutorial by Sam Reid Dynamical systems model time-dependent phenomena in which the next state is computable from the current state. Dynamical systems may be discrete or continuous, depending on the nature of the time coordinate. Many physical systems can be modeled as dynamical systems. In this tutorial, we examine the Cellular Automaton, a dynamical system which is not only temporally discrete, but spatially discrete as well. Furthermore, the rule that governs the update of the system is spatially localized. These assumptions do not hinder the system's emergent behavior-on the contrary, even 1-Dimensional Cellular Automata exhibit emergent behavior including fractals, chaos, randomness, complexity and particles. In fact, it was recently proved that any computable function can be implemented in terms of an infinite 1-Dimensional Cellular Automaton [5]. In this tutorial, we study this simple form of Cellular Automata and depict its complex emergent behavior. We hope an exploration of this powerful dynamical system will confer insight into many forms of dynamical systems. This interactive tutorial requires Java version 1.4 and up:

99. Cellular Automata Cellular automata are the simplest models of spatially distributed processes. They consist of an array of cells, each of which is allowed to be in one of a few states.You can http://www.ba.infn.it/~zito/automa.html

Cellular Automata Cellular automata are the simplest models of spatially distributed processes. They consist of an array of cells, each of which is allowed to be in one of a few states.You can have linear cellular automata,like the one shown in the applet, planar CA and even 3D CA. At each tick of time, each cell looks to its neighbors to see what states they are in. Using this information each cell applies a simple rule to determine what state it should change to. This basic step is repeated over the whole array, again and again. Cellular automata were invented in the 1940's by the mathematicians John von Neuman and Stanislaw Ulam, while they were working at the Los Alamos National Laboratory . The most famous cellular automaton is the "Game Of Life" invented by mathematician John Conway, in the 1960's. This is a planar CA and despite the simplicity of the rules governing the changes of state as the automaton moves from one generation to the next, the evolution of such a system is complex indeed. A spatial process is normally described by a set of PDE(Partial Differential Equations) with time,space and state space continuous.In a Cellular Automaton time is discrete like in a map, space is discrete (the cells of a cellular automaton) and also state space is discrete(each cell can have only a finite number of states). So it is the simplest dynamical system that describes systems evolving in space.

100. 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. http://www.netplay.com.au/

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