Geometry.Net - the online learning center
Home  - Pure_And_Applied_Math - Cellular Automata
e99.com Bookstore
  
Images 
Newsgroups
Page 7     121-140 of 146    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | Next 20

         Cellular Automata:     more books (100)
  1. The Neighbourhood Rules: Land-use Interactions, Urban Dynamics and Cellular Automata Modelling (Netherlands Geographical Studies, 334) by M.J. Hagoort, 2006
  2. Cellular automata for traffic flow modeling by Saifallah Benjaafar, 1997
  3. Workshop on Computational Physics and Cellular Automata: Ouro Preto, Brazil, August 8-11, 1989 by Workshop on Computational Physics and Cellular Automata, David P. Landau, et all 1990-09
  4. The cellular automata paradigm for the parallel solution of heat transfer problems (TR) by Bruce B Lowekamp, 1994
  5. A cellular automata model for use with real freeway data for traffic prediction by Daniel J Dailey, 2002
  6. Automated discovery of self-replicating structures in cellular space automata models (Computer science technical report series) by Jason D Lohn, 1996
  7. Reliable computation with cellular automata (BUCS tech report) by Péter Gács, 1985
  8. Hardware implementation of cellular automata via the Cellular Neural Network Universal Machine (Memorandum) by Kenneth R Crounse, 1995
  9. Computation in Cellular Automata: A Selected Review by Mitchell, Melanie, 1996
  10. Parcella '94: Proceedings of the Vi. International Workshop on Parallel Processing by Cellular Automata and Arrays Held in Potsdam, September, 21-23 (Mathematical Research , Vol 81) by International Workshop on Parallel Processing by Cellular Automata And, Vesselin Jossifov, et all 1994-10
  11. Parcella '88: Proceedings of the IV. International Workshop on Parallel Processing by Cellular Automata and Arrays, held in Berlin (GDR), October 17-21, 1988 (Mathematische Forschung)
  12. Self-replicating structures in a cellular automata space (Computer science technical report series) by Hui-Hsien Chou, 1996
  13. Algebraic properties of the block transformation on cellular automata (SFI working papers) by Cristopher Moore, 1995
  14. Majority-vote cellular automata, ising dynamics, and P-completeness (SFI working papers) by Cristopher Moore, 1996

121. Topic: Areas/ca/
Root cellular automata. areas JD Farmer, T. Toffoli, and S. Wolfram, cellular automata , NorthHolland, Amsterdam, 1984. Howard Gutowitz
http://www.cs.cmu.edu/afs/cs/project/ai-repository/ai/areas/ca/0.html
CMU Artificial Intelligence Repository
Cellular Automata
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

122. Notes On Artificial Life & Cellular Automata
A diary of research results on cellular automata, Lindenmeyer Systems, Artificial Life and Genetic Algorithms, as they pertain to an artifical.
http://linas.org/plants/observe.html
Preface Below follows a diary/journal that I compiled between 1991 and 1993 that details some experiments I ran with regard to systems of interacting cellular automata subject to evolutionary forces. The goal was to throw into one big melting pot many of the hip and cool terms prisoner's dilemma, Lindenmeyer systems, grammars, cellular automata, genetic algorithms, evolution, natural and artificial selection, artificial life and see what came out. I believe that I was successful in this it's one hell of a mash.
In the process, I learned a number of things. Many of these are old truths. Some might have deserved of a journal article. Even more could make for good hypotheses. For example:
Could networks of cellular automata train faster than neural networks?
Networks of cellular automata can resemble neural nets in many ways, and, in an arguable sense, are supersets of neural nets. However, small, simple automata are inherently digital, and not analog, and just might be more computationally efficient. In particular, such a digital net could overcome many of the engineering difficulties of building a neural net in hardware, such as the requirement for large analog transistors, which are typically hundreds of times larger than their digital transistor counterparts.
What is the best way for training a cellular automata net?

123. Cellular Automata
cellular automata. cellular automata are the simplest models of spatially distributed processes. They consist of an array of cells
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.

124. CELLULAR AUTOMATA
cellular automata A Discrete Universe by Andrew Ilachinski (Center for Naval Analyses, USA) cellular automata are a class of spatially and temporally discrete
http://www.worldscientific.com/books/chaos/4702.html
Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Keyword Author Concept ISBN Series New Titles Editor's Choice Bestsellers Book Series ... Join Our Mailing List CELLULAR AUTOMATA
A Discrete Universe

by Andrew Ilachinski (Center for Naval Analyses, USA)
Cellular automata are a class of spatially and temporally discrete mathematical systems characterized by local interaction and synchronous dynamical evolution. Introduced by the mathematician John von Neumann in the 1950s as simple models of biological self-reproduction, they are prototypical models for complex systems and processes consisting of a large number of simple, homogeneous, locally interacting components. Cellular automata have been the focus of great attention over the years because of their ability to generate a rich spectrum of very complex patterns of behavior out of sets of relatively simple underlying rules. Moreover, they appear to capture many essential features of complex self-organizing cooperative behavior observed in real systems. This book provides a summary of the basic properties of cellular automata, and explores in depth many important cellular-automata-related research areas, including artificial life, chaos, emergence, fractals, nonlinear dynamics, and self-organization. It also presents a broad review of the speculative proposition that cellular automata may eventually prove to be theoretical harbingers of a fundamentally new information-based, discrete physics. Designed to be accessible at the junior/senior undergraduate level and above, the book will be of interest to all students, researchers, and professionals wanting to learn about order, chaos, and the emergence of complexity. It contains an extensive bibliography and provides a listing of cellular automata resources available on the World Wide Web.

125. Irregular Cellular Automata Page
Irregular cellular automata Page. Simulations in cellular automata (CA) usually employ a symmetric grid structure, most often a rectangular one.
http://www.uni-bayreuth.de/departments/philosophie/deutsch/TheLab/IrregularCA/IC
Irregular Cellular Automata Page
Information about irregular grid structures and how to download them
About the initial author of these pages
Simulations in Cellular Automata (CA) usually employ a symmetric grid structure, most often a rectangular one. But there are a number of phenomena in physics or social sciences which can not be adequatly modelled with symmetrical grids. We faced this problem in our own simulation studies, so we decided to use more general CA structures. To construct those CA we use a mesh generating algorithm known as Voronoi or Delauney tessellation. A lot of people ask us for more details about the irregular CA, so we provide this page where you can learn more about mesh generation. The algorithm for generating the mesh structures is not easy to implement, particulary if you work on different platforms with different programming languages. We therefore decided to provide the data structure of several mesh structures. These structures are easy to implement in any programming language. Moreover, we provided the Delphi-component

126. Additive Cellular Automata: Theory And Applications
Presents an extensive survey and report of related research on new developments in cellular automata (CA) theory. The research.
http://www.computer.org/cspress/CATALOG/bp07717.htm

Additive Cellular Automata
Theory and Applications
Parimal Pal Chaudhuri, Dipanwita Roy Chowdhury, Sukumar Nandi, Santanu Chattopadhyay
NOTE: This title is brought to you by the IEEE Computer Society Press and John 302 2300 or purchase online now. IEEE CS MEMBERS: Use promotion code when you check out at Wiley.com to receive your 15% member discount Presents an extensive survey and report of related research on new developments in cellular automata (CA) theory. The book introduces you to this theory in a comprehensive manner that will help you understand the basics of CA and be prepared for further research. It illustrates the matrix algebraic tools that characterize group CA and help develop its applications in the field of VLSI testing. The book also examines schemes based on easily testable FSM, bit-error correcting code, byte error correcting code, and characterization of 2D cellular automata. In addition, it looks into CA-based universal pattern generation, data encryption, and synthesis of easily testable combinational logic. The text covers new characterizations of group CA behavior, CA-based tools for fault diagnosis, and a wide variety of applications to solve real-life problems.

127. Solitons And Particles In Cellular Automata: A Bibliography
Solitons and Particles in cellular automata a Bibliography. 1990. MJ Ablowitz, ``Nonlinear evolution equations, inverse scattering and cellular automata, pp.
http://www.cs.princeton.edu/~ken/solitons.html
Solitons and Particles in Cellular Automata: a Bibliography
Thanks to Professor Pawel Siwak, Poznan University of Technology, Poznan, Poland for providing many of these references. Please send me additions and corrections, thanks.
J. K. Park, K. Steiglitz, and W. P. Thurston, ``Soliton-like behavior in automata,'' Physica D , vol. 19D, pp. 423-432, 1986. Reprinted in Theory and Applications of Cellular Automata , (S. Wolfram, ed.), World Scientific Publishing Co., Hong Kong (distributed by Taylor and Francis, Philadelphia), 1986, pp. 333-342. C. H. Goldberg, ``Parity filter automata,'' Complex Systems , vol. 2, pp. 91-141, 1988. T. S. Papatheodorou, M. J. Ablowitz, and Y. G. Saridakis, ``A rule for fast computation and analysis of soliton automata,'' Studies in Applied Mathematics , vol. 79, pp. 173-184, 1988. A. S. Fokas, E. P. Papadopoulou, and Y. G. Saridakis, ``Particles in soliton cellular automata,'' Complex Systems , vol. 3, pp. 615-633, 1989. A. S. Fokas, E. P. Papadopoulou, Y. G. Saridakis, and M. J. Ablowitz, ``Interaction of simple particles in soliton cellular automata,'' Studies in Applied Mathematics , vol. 81, pp. 153-180, 1989.

128. 3d Cellular Automata
A site devoted to providing links to 3d cellular automata related information and, in particular, software. 3d cellular automata,
http://www.geocities.com/robisais/3dca.html
3d Cellular Automata 2d cellular automaton descriptions and software are easy to find on the net. I got interested in 3d cellular automata, and found myself in the same boat as when i started with 2d versions- at the time, there were almost no software available that a layman can put to use. So i made this page to document all of the software i could find that non mathematicians can use. Please sign the guest book or email me at bsisais at hotmail dot com (replace at with @ and replace the dot with a ".", this is to keep bots from getting my email from the page). I'd love to add any new resources, particularly stand alone windows software. Click on the pictures for their homepages. 3d Cellular Automata Links Using 3d cellular automata not to simulate life, but to create it, and the threats that the resulting life may create. 10 Steps to AL
My notepad on 3dca. I plan on implementing ideas from this eventually in software. Updated 14 Nov Kaleidoscope Of 3d Life A really nice 3dca, executes from withint the browser. Fast. Chris Newsby's 3d Life I haven't been able to get this one to run yet..

129. Levitated Cellular Automata Twist Flash MX Open Source
Natural continuous form through cellular automata. The CA Twist is a one dimensional cellular automata wrapped around a rotating construct.
http://www.levitated.net/daily/levCATwist.html
The CA Twist is a one dimensional cellular automata wrapped around a rotating construct. The twist is sixteen bits wide and infinitely long.
CLICK anywhere to randomly initialize the cell row and use new ruleset. Move the MOUSE TOWARDS OR AWAY from the twist's center to rotate it accordingly.
Cellular automata are discreet dynamical systems with simple construction but complex emergent behavior. This particular implementation of CA is based on Wolfram's 8-bit Class 4 CA, using ruleset . The bits lit on each successive line of the CA are based on the lit bits of the previous lines.
figure a. the twist, if allowed to continue growing indefinitely, with no limit on the life-span of it's individual bits.
The lit bit is represented graphically by a white square. One particularly challenging aspect of this project was the computational power required to hold and calculate each bit of the CA. To solve this problem, each bit is its own Flash object.
Older bits of the CA Twist eventually fade and are removed. This is to help conserve computational resources while continuing to add new rows.

130. The PascGalois Project: Group-related Cellular Automata
PascGalois Triangles Hexagons and other Grouprelated cellular automata. Kathleen M. Shannon Michael J. Bardzell Support provided
http://faculty.ssu.edu/~kmshanno/pascal/welcome.htm
Kathleen M. Shannon
Michael J. Bardzell
Support provided by the National Science Foundation award #'s DUE-0087644 and DUE-0339477
and by the Richard A. Henson endowment for the School of Science at Salisbury University.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The PascGalois project has its origin in a simple exercise with Pascal’s triangle. Take each entry in the triangle and replace it with its congruent value mod n, where n is a positive integer larger than 1. By assigning each of the values 0,1,...,n-1 a distinct color, patterns reminiscent of fractals appear. Our interest in this construction lies in the fact that addition mod n is the group multiplication of the cyclic group Zn and the patterns seen in the triangles are related to the structure of these groups. We generalize this construction to other groups, algebraic structures, and cellular automata, creating research questions in an area where Abstract Algebra, Dynamical Systems, Number Theory, Fractal Geometry and Computer Graphics interplay.
See our articles in the March 2002 issue of Focus and in the MAA Notes Publication: Innovations in Teaching Abstract Algebra . Follow the picture links to an updated version of the Focus article or our site to support the article in Innovations
Also on this site you will find:

131. Cellular Automata Machines - The MIT Press
Recently, cellular automata machines with the size, speed, and flexibility for general experimentation at a moderate cost have become available to the
http://mitpress.mit.edu/book-home.tcl?isbn=0262200600

132. Mirek's Cellebration - 1-D And 2-D Cellular Automata Viewer, Explorer And Editor
Welcome to Mirek s Cellebration 1D and 2D cellular automata explorer by Mirek Wojtowicz. Anyhow, the pages show only a static side of cellular automata.
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
...
User comments
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?

133. Carter Bays 5/2002
cellular automata ( CA ) GAME OF LIFE HOME PAGE Carter Bays 5/2002.
http://www.cse.sc.edu/~bays/CAhomePage
CELLULAR AUTOMATA ( CA )
GAME OF LIFE
HOME PAGE

Carter Bays 5/2002
LINKS
About Cellular Automata Conway's game About 3D life ... Carter Bays' home page visitors to this page since 5/28/2002. This page contains links to applets for 2D and 3D CA: Conway's game of life and Bays' 3-D life.
*NOTE* some of the applets are rather large and may take some time to download.
Coming soon: Some really nice applets for hexagonal, triangular, and pentagonal CA, along with some new games of life.

134. Logos - Cellular Automata
cellular automata screensaver. cellular automata.
http://weaver.freeservers.com/logos/logosac.html
Free Web site hosting - Freeservers.com Web Hosting - GlobalServers.com Choose an ISP NetZero High Speed Internet ... Dial up $14.95 or NetZero Internet Service $9.95 Logo.sys Replacements These logos are based on images generated with Rudy Rucker's cellular automata screensaver Cellular Automata Cellular Automata I Cellular Automata II Cellular Automata III Cellular Automata IV Cellular Automata V Cellular Automata VI Cellular Automata VII Cellular Automata VIII Cellular Automata IX Cellular Automata X Cellular Automata XI Cellular Automata XII Cellular Automata XIII Cellular Automata XIV Cellular Automata XV Cellular Automata XVI Cellular Automata XVII Cellular Automata XVIII Cellular Automata XIX Cellular Automata XX Logos Index
Customization Home

135. Cellular Automata Dynamics
Explorations of cellular automata dynamics, through a book in .pdf formatand a slide show of material taken from the book. cellular automata Dynamics. .
http://www2.bc.cc.ca.us/resperic/ca/
Cellular Automata Dynamics
Slide Show Table of Contents Title Page
Information About this Project

Applications of CA

Cellular Automata Definition
...
Thanks for visiting !

WARNING-
Due to the large number of images,
downloading this document may
take a long time... Book : Cellular Automata Dynamics
in Adobe Acrobat .pdf Format Download Free Adobe
Acrobat Reader
NOW Author: Rafael Espericueta
Email Home Page . . To obtain the software used to create the images in these pages please contact the author Cellular Automata Links Yahoo CA Links Santa Fe Institute CA FAQ Game of Life Links You are visitor #

136. Processing 1.0 _ALPHA_ >> Examples
cellular automata 1, Conway s Game of Life by Mike Davis http//www.lifecycle.org This program is a simple version of Conway s game of Life.
http://processing.org/learning/examples/cellular_automata_1.html

Info
FAQ Cover Exhibition Learning Reference Download Discourse Examples ... Tutorials examples index structure : coordinates structure : functions structure : objects structure : recursion structure : setup_loop structure : statements_comments structure : width_height form : curve_primitives form : points_lines form : primitives_3d form : shape_primitives form : simple_curves form : vertices form : vertices_3d data : array data : array_2d data : array_objects data : characters_strings data : datatype_conversion data : integers_floats data : true_false data : variable_scope data : variables control : conditionals_1 control : conditionals_2 control : embedded_iteration control : iteration control : logical_operators calculate : arctangent calculate : distance_1d calculate : distance_2d calculate : increment_decrement calculate : modulo calculate : operator_precedence calculate : random calculate : sine calculate : sine_cosine drawing : continuous_lines drawing : custom_tool drawing : pattern drawing : vector_raster image : alphamask image : animated_sprite image : background_image image : blur image : displaying image : edge_detection image : extrusion image : histogram image : linear_image image : pixel_array image : sequential image : sprite image : transparency image : zoom typography : custom_alphabet typography : custom_letter typography : helix typography : kinetic_type typography : letters typography : typing typography : words color : brightness color : creating color : hue color : reading color : relativity color : rgb_cube color : saturation transform : embedding_push_pop

137. Invalid Archive Name 'nlin.CG'
cellular automata and geosimulation me @ An overview of cellular automata Overview of cellular automata models, Back to top. Cities and cellular automata. There
http://xxx.lanl.gov/archive/comp-gas
Invalid archive name 'nlin.CG'
Choose one of the following archives or from one of the following archives which no longer accept submissions (most have been subsumed into the archives listed above)

138. Fun With Cellular Automata
Fun with cellular automata, by Don Hopkins. cellular automata are simple rules that are applied to a grid of cells, or the pixel values of an image.
http://www.art.net/~hopkins/Don/art/cell.html
Fun with Cellular Automata, by Don Hopkins
Playing with real time Cellular Automata is as much fun as putting grapes, marshmellow peeps, peppermint patties, bars of soap, and alluminum foil in the microwave, but much easier to clean up, and don't smell bad! Cellular automata are simple rules that are applied to a grid of cells, or the pixel values of an image. The same rule is applied to every cell, to determine its next state, based on the previous state of that cell and its neighboring cells. There are many interesting cellular automata rules, and they all look very different, with amazing animated dynamic effects. "Life" is a widely known cellular automata rule, but many other lesser known rules are much more interesting! I've written code to play with real time animated cellular automata, that applies a bunch of rules to different parts of an image at once. You can create and delete different rules, move them around and resize them, throw them so they bounce around and leave trails, overlap them to mix their effects together, zoom into the cells and scroll around, and draw into the cells in real time with a few simple painting tools. These are some cellular automata images I've created:

139.  NKS-SJSU: Self Reproducing Cellular Automata And Programs
Self Reproducing cellular automata and Programs, By Shruti Parihar. John von Neumann did some pioneering work in the field of selfreproducing cellular automata.
http://sjsu.rudyrucker.com/~shruti.parihar/paper/
Self Reproducing Cellular Automata and Programs By Shruti Parihar Home Links Applets Papers ... Team Research Paper
1.0 Introduction
2.0 Von Neumann
2.1 Introduction
John von Neumann did some pioneering work in the field of self-reproducing cellular automata. He thought that reproduction in living organisms was a little more than the transfer and re-implementation of some sort of information. Since computers were nothing more than information driven machines, he thought that a computer could eventually emulate life by passing its information along to a new generation of regenerating computers. Neumann used cellular automata to implement his self-reproducing machine. His research into complex machines led to the conclusion that a self-reproducing system must have the following abilities, [6]:
  • Computation universality, or the ability to operate as a Universal Turing Machine and be able to compute any task.

140. Theoretical Biology/Bioinformatics Utrecht
Formal models in ecology, spatial pattern formation, (molecular) evolution, immunology, and ethology. Formalisms range from mathematical models, cellular automata, genetic algorithms, to discreteevent individual-oriented simulation models. Bioinformatic approach typically involves spatial, multi-leveled models with many interacting entities whose behavior is determined by local information.
http://www-binf.bio.uu.nl/
Theoretical Biology / Bioinformatics Group Welcome to this public WWW server of the department of Theoretical Biology at the Utrecht University Faculty of Biology , the Netherlands. Our Theoretical Biology group performs fundamental research in Biology by means of formal models. Examples of the Biological areas that we cover are ecology, spatial pattern formation, (molecular) evolution, immunology, and ethology. Our formalisms range from mathematical models, cellular automata, genetic algorithms, to discrete-event individual-oriented simulation models. We have coined the term Bioinformatics for the study of informatic processes in biotic systems. Our Bioinformatic approach typically involves spatial, multi-leveled models with many interacting entities whose behavior is determined by local information. Overview of research Feel free to request reprints of any of our publications by an Email to one of the authors or to address listed below. Papers sorted by the year of publication: Publications
PhD theses
PhD/Postdoc position(s): Gene regulation and evolution: mutual interaction across time-scales Our group teaches courses in Bioinformatic Processes , in Bioinformatic Pattern Analysis , in Non-Linear Systems , in Theoretical Ecology (Reader in Dutch availabe as PDF-file ), in mathematics (Reader as

Page 7     121-140 of 146    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | Next 20

free hit counter