New Constructions In Cellular Automata
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New Constructions in Cellular Automata
Author: David Griffeath
language: en
Publisher: Oxford University Press
Release Date: 2003-03-27
This book not only discusses cellular automata (CA) as accouterment for simulation, but also the actual building of devices within cellular automata. CA are widely used tools for simulation in physics, ecology, mathematics, and other fields. But they are also digital "toy universes" worthy of study in their own right, with their own laws of physics and behavior. In studying CA for their own sake, we must look at constructive methods, that is the practice of actually building devices in a given CA that store and process in formation, replicate, and propagate themselves, and interact with other devices in complex ways. By building such machines, we learn what the CA's dynamics are capable of, and build an intuition about how to "engineer" the machine we want. We can also address fundamental questions, such as whether universal computation or even "living" things that reproduce and evolve can exist in the CA's digital world, and perhaps, how these things came to be in out own universe.
Cellular Automata
This book constitutes the refereed proceedings of the 9th International Conference on Cellular Automata for Research and Industry, ACRI 2010, held in Ascoli Piceno, Italy, in September 2010. The first part of the volume contains 39 revised papers that were carefully reviewed and selected from the main conference; they are organized according to six main topics: theoretical results on cellular automata, modeling and simulation with cellular automata, CA dynamics, control and synchronization, codes and cryptography with cellular automata, cellular automata and networks, as well as CA-based hardware. The second part of the volume comprises 35 revised papers dedicated to contributions presented during ACRI 2010 workshops on theoretical advances, specifically asynchronous cellular automata, and challenging application contexts for cellular automata: crowds and CA, traffic and CA, and the international workshop of natural computing.
Conway's Game of Life
Author: Nathaniel Johnston
language: en
Publisher: Nathaniel Johnston
Release Date: 2022-03-11
Dead cells with three live neighbors are born, while live cells with fewer than two or more than three live neighbors die. These simple rules define Conway's Game of Life, which exhibits complex and unpredictable behavior that has been studied for over 50 years. This book provides a thorough introduction to the Game of Life, the mathematics behind it, and the methods used to construct many of its most interesting patterns. It emphasizes conceptual techniques for constructing patterns that evolve in unusual ways, and guides the reader through the thought processes and ideas that are needed to combine various building blocks into more interesting composite patterns. While this book largely follows the history of the Game of Life, that is not its primary purpose. Rather, it is a by-product of the fact that most recently discovered patterns build upon patterns and techniques that were developed earlier. The goal of this book is to demystify the Game of Life by breaking down the complex patterns that have been developed in it into bite-size chunks that can be understood individually. Free (watermarked) PDF and associated pattern files available for download from conwaylife.com/book