Geometry.Net - Pure_And_Applied_Math: Cellular Automata

Cellular Automata Applications
Graphics Applications of cellular automata and NKTakai A Particle ClusterDeformation Model by the Probabilistic cellular automata , IEICE Trans.
http://madeira.cc.hokudai.ac.jp/RD/takai/automa.html

Extractions: RD Texture generation (Y.Takai, N.K.Takai, and K.J.Nakamori: "Exploration of the reaction-diffusion textures", Proc. Int. Conf. on Modelling and Simulation Virtual clay modeling (H.Arata, Y.Takai, N.K.Takai, and T.Yamamoto: "Virtual Clay Modeling within the Active Voxel Space", IEICE Trans. Inf. and Sys. , vol.J82-DII, no.11, 1999) Erosion of the bones by 3D-CA (Y.Takai and K.Ecchu, 1993) Hypertexture (Y.Takai, 1993)
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

Extractions: 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
Cellular Automata Dynamics
Explorations of cellular automata dynamics, through a book in .pdf formatand aslide show of material taken from the book. 0, 1-, and 2-dimensionalcellular
http://www2.bc.cc.ca.us/resperic/ca/
Xtoys
A set of cellular automata simulators written for XWindows. By Mike Creutz.
http://quark.phy.bnl.gov/www/xtoys/xtoys.html

Extractions: (http://thy.phy.bnl.gov/www/xtoys/xtoys.html) The directory xtoys contains a set of cellular automata simulators I have written for Xwindows. The executables here are for Linux. The xtoys gallery shows lots of pictures produced by these programs (beware if you have a slow link). To peek at the xising user interface, look here A further description of these files is in my contribution to the Lattice'95 proceedings. The files in the xtoys directory include: xising.txt xising.c: a two dimensional Ising model simulator xpotts.txt xpotts.c: for the two dimensional Potts model xautomalab.txt xautomalab.c: a totalistic cellular automaton simulator xsand.txt xsand.c: for the Bak, Tang, Wiesenfeld sandpile model xfires.txt xfires.c: a simple forest fire automaton xwaves.txt xwaves.c: demonstrates three different wave equations. Makes a nice lava lamp. schrodinger.c: Play with the Scrodinger equation in an adjustable potential. I haven't written any documentation yet, but if you know about this equation, it should be easy to figure out the program. xtoys.tar:
:: The Ca Extension ::
An implementation of cellular automata for the GIS software ArcView from ESRI.
http://srf.tuwien.ac.at/lva/students/ca/

Extractions: a short example How to ... ... about 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 dmoz.org , 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 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!
Cellular Automaton
cellular automata are the simplest models of spatially distributed processes . Some of the patterns produced, by several simple cellular automata,
http://www.exploratorium.edu/complexity/CompLexicon/automaton.html
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.
http://digitalphilosophy.org/

Extractions: 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:
Topic: Areas/ca/
areas/ca/ faq/ cellular automata FAQ Frequently Asked Questions About Cellular archives for the CA mailing list systems/ cellular automata Packages See
http://www-2.cs.cmu.edu/afs/cs/project/ai-repository/ai/areas/ca/0.html

Extractions: CMU Artificial Intelligence Repository areas/ca/ faq/ Cellular Automata FAQ: Frequently Asked Questions About Cellular Automata mail/ Mail archives for the CA mailing list systems/ Cellular Automata Packages See Also: areas/genetic/ areas/alife/ Origin: FTP repositories for cellular automata include sfi.santafe.edu:/pub/CA/ think.com:/mail/ca* This directory contains software and materials concerning cellular automata and related topics. References: Forrest, S., editor, "Emergent Computation", MIT Press, 1991. J. D. Farmer, T. Toffoli, and S. Wolfram, "Cellular Automata", North-Holland, Amsterdam, 1984. Howard Gutowitz, "Cellular Automata: Theory and Experiment", MIT Press, Cambridge, MA 1991. ISBN 0-262-57086-6. Tommaso Toffoli and Norman Margolus, "Cellular Automata Machines: A New Environment for Modeling", MIT Press, 1987. Andrew Wuensche and Mike Lesser, "The Global Dynamics of Cellular Automata", Addison-Wesley, 1992. IBSN 0-201-55740-1. CD-ROM: Prime Time Freeware for AI, Issue 1-1 Mailing List: comp.theory.cell.automata, comp.theory.self-org-sys The mailing list cellular-automata@think.com (aka ca@think.com) is gatewayed to comp.theory.cell.automata. To join, send mail to cellular-automata-request@think.com. Keywords: AI Software Packages, Cellular Automata, Software Packages Last Web update on Mon Feb 13 10:20:18 1995
Softology - Visions Of Chaos
Home page of a versatile Windows software by Jason Rampe. The program covers cellular automata, Chaos, and Fractals.
http://www.softology.com.au/voc.htm
Cellular Automata Music
Since cellular automata produce large amounts of patterned data and if we assumethat From many different cellular automata algorithms available today,
http://website.lineone.net/~edandalex/camus.htm

Extractions: Acknowledgments and Further Information Since cellular automata produce large amounts of patterned data and if we assume that music composition can be thought of as being based on pattern propagation and formal manipulation of its parameters, it comes as no surprise that researchers started to suspect that cellular automata could be mapped into a music representation in order to generate compositional material. CAMUS is a cellular automata-based music generator. From many different cellular automata algorithms available today, two have been selected for CAMUS, namely Game of Life (invented by John Horton Conway) and Demon Cyclic Space (designed by David Griffeath). top From one tick of the clock to the next, the cells of the Game of Life cellular automaton can be either alive (i.e., black) or dead (i.e., white), according to the following rules devised by Conway: if a cell is dead at time t , it comes alive at time
Algorithms Based On CA Rule110 - Tiles.
Contains 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
Cellular Automaton
A Java Applet for simulating all kind of cellular automata, including Conway's Game Of Life or snowflake generation rules. By Frank BuÃ.
http://www.frank-buss.de/automaton/index.html
Wonders Of Math - The Game Of Life
There has been much recent interest in cellular automata, a field of mathematical Life is one of the simplest cellular automata to have been studied,
http://www.math.com/students/wonders/life/life.html

Extractions: by Paul Callahan The Game of Life (or simply Life) is not a game in the conventional sense. There are no players, and no winning or losing. Once the "pieces" are placed in the starting position, the rules determine everything that happens later. Nevertheless, Life is full of surprises! In most cases, it is impossible to look at a starting position (or pattern ) and see what will happen in the future. The only way to find out is to follow the rules of the game. Play Life Now! Life is played on a grid of square cellslike a chess board but extending infinitely in every direction. A cell can be live or dead . A live cell is shown by putting a marker on its square. A dead cell is shown by leaving the square empty. Each cell in the grid has a neighborhood consisting of the eight cells in every direction including diagonals. To apply one step of the rules, we count the number of live neighbors for each cell. What happens next depends on this number.
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/

Extractions: 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
Cellular Automata Related Sites
cellular automata Related Sites. CASA (Center for Advaced Spatial Analysis) inUniversity cellular automata Models for the Rapid Simulation of Bushfires
http://www.geog.buffalo.edu/~jshin2/ca.htm
[nlin/0403035] Epidemiology Through Cellular Automata: Case Of Study Avian Influ
Subjclass cellular automata and Lattice Gases; Adaptation and This paperperforms the utilization of cellular automata computational analysis as the
http://arxiv.org/abs/nlin.CG/0403035

Extractions: This paper performs the utilization of cellular automata computational analysis as the dynamic model of spatial epidemiology. Here, explored elementary aspects of cellular automata and its application in analyzing contagious disease, in this case avian influenza disease in Indonesia. Computational model is built and map-based simulation is performed using several simplified data of such transportation through sea in Indonesia, and its accordance with poultries in Indonesia, with initial condition of notified avian influenza infected area in Indonesia. The initial places are Pekalongan, West Java, East Java, and several regions in Sumatera. The result of simulation is showing the spreading-rate of influenza and in simple way and describing possible preventive action through isolation of infected areas as a major step of preventing pandemic. References and citations for this submission:
Discrete Dynamics Lab
Tools for researching discrete dynamical networks from cellular automata to random boolean networks; by Andrew Wuensche.
http://www.ddlab.com/

Extractions: Click here for some examples. Constraining DDLab to run forward only for two types of totalistic rules, which allows larger neighborhoods (up to k=25). adds outer -totalistic rules of each type for cellular automata. In 2d the neighborhoods are predefined to make both square or hexagonal lattices. Many interesting "life"-like and other complex dynamics can be found in this constrained rule-space in 1d, 2d and 3d, including gliders, gliders-guns, self-replication, spirals and predator-prey dynamics. Some amazing examples are provided. Click
Personal Home Page Of Mirek Wojtowicz
Mirek s Home page cellular automata, Windows and Palm freeware. Active CellularAutomata mirrors globe USA http//psoup.math.wisc.edu/mcell/
http://www.mirwoj.opus.chelm.pl/
The Cellular Automata Simulation System
A compiler for the Cellang cellular automata programming language, along with the corresponding documentation, viewer, and various tools; by J Dana Eckart.
http://staff.vbi.vt.edu/dana/ca/cellular.shtml
What Is Life And Cellular Automata?
You can read much more about the history of cellular automata here. MCell allowsexploring cellular automata rules with all above extensions (see CA
http://www.mirwoj.opus.chelm.pl/ca/whatis_life.html

Extractions: What is Life and Cellular Automata? Go back to MCell Home Conway's Life (Game Of Life, GOL) is the most well known cellular automaton. It has been extensively explored, and a large number of extraordinary patterns have been found. Perhaps to call it a game is somewhat misleading. It's not a game like Doom or other games you would play with a joystick. Life is more of a simulation where you can alter the parameters but you cannot actually alter the outcome directly; that is done by the conditions of the simulation. The game is played on a 2-dimensional grid. Each cell can be either "on" or "off". Each cell has eight neighbors, adjacent across the sides and corners of the square. The Life rule can be simply expressed (in terms of the way it affects a cell's behavior from one generation to the next) as follows: If a cell is off and has 3 living neighbors (out of 8), it will become alive in the next generation. If a cell is on and has 2 or 3 living neighbors, it survives; otherwise, it dies in the next generation.

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