Cellular Automaton Software
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Home > Art, Film & Photography > Cellular Automaton Software: Hashlife, Fractint, Mirek's Cellebration, Video Life, Life Genesis
Cellular Automaton Software: Hashlife, Fractint, Mirek's Cellebration, Video Life, Life Genesis

Cellular Automaton Software: Hashlife, Fractint, Mirek's Cellebration, Video Life, Life Genesis


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About the Book

Chapters: Hashlife, Fractint, Mirek's Cellebration, Video Life, Life Genesis. Source: Wikipedia. Pages: 20. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Hashlife is a memoized algorithm for computing the long-term fate of a given starting configuration in Conway's Game of Life and related cellular automata, much more quickly than would be possible using alternative algorithms that simulate each time step of each cell of the automaton. The algorithm was first described by Bill Gosper in the early 1980s while he was engaged in research at the Xerox Palo Alto Research Center. Hashlife was originally implemented on Symbolics Lisp machines with the aid of the Flavors extension. Hashlife is designed to exploit large amounts of spatial and temporal redundancy in most Life rules. For example, in Conway's Life, the maximum density of live cells in a region is only 1/2, and many seemingly random patterns end up as collections of simple still lifes and oscillators. The field is typically treated as a theoretically infinite grid, with the pattern in question centered near the origin. A quadtree is used to represent the field. Given a square of 2 cells, 2 on a side, at the kth level of the tree, the hash table stores the 2-by-2 square of cells in the center, 2 generations in the future. For example, for a 4x4 square it stores the 2x2 center, one generation forward; and for an 8x8 square it stores the 4x4 center, two generations forward. While a quadtree trivially has far more overhead than other simpler representations (such as using a matrix of bits), it allows for various optimizations. As the name suggests, it uses hash tables to store the nodes of the quadtree. Many subpatterns in the tree are usually identical to each other; for example the pattern being studied may contain many copies of the sa...More: http: //booksllc.net/?id=1095


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Product Details
  • ISBN-13: 9781158354597
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 22
  • Spine Width: 1 mm
  • Weight: 45 gr
  • ISBN-10: 1158354592
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Hashlife, Fractint, Mirek's Cellebration, Video Life, Life Genesis
  • Width: 229 mm


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