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Wednesday, March 18

  1. 12:46 am

Tuesday, March 17

Tuesday, March 10

  1. page Challenges edited ... Other patterns Objects of undiscovered periods ... or spaceships, no known p2 puffers, a…
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    Other patterns
    Objects of undiscovered periods
    ...
    or spaceships, no known p2 puffers, and no
    Objects of undiscovered speeds
    As mentioned above, the only known speeds of spaceships in Live Free or Die are c, c/2, 2c/5, c/3, c/4, and c/5 orthogonal, and c/4 diagonal. There are no known puffers that travel slower than c other than c/2 and c/5 rakes. There are also no known spaceships or puffers that travel in an oblique direction (knightships).
    (view changes)
    6:57 am

Saturday, March 7

  1. page breeder edited In Live Free or Die, a breeder is a pattern that exhibits unbounded quadratic growth but is not ch…
    In Live Free or Die, a breeder is a pattern that exhibits unbounded quadratic growth but is not chaotic. (Note that in cellular automata like Conway's Game of Life, where quadratic growth does not occur naturally, the term breeder refers to any pattern with unbounded quadratic growth.)
    The only known breeders in Live Free or Die are MMS breeders in which a flotilla periodically produces double dot puffer, and are very large. The first example was discovered by Arie Paap.

    (view changes)
    5:52 am

Friday, March 6

  1. page Home edited ... In other words, it's an infinite grid of cells which can either be alive or dead. Given an ini…
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    In other words, it's an infinite grid of cells which can either be alive or dead. Given an initial pattern of cells, the grid evolves through successive generations by applying simple rules: a live cell survives only if it has no living neighbors, and a dead cell comes to life if it has exactly two living neighbors. All the cells apply these rules at the same instant. As the pattern changes over time, it exhibits emergent and often beautiful behavior.
    Unlike Conway's Game of Life (rule s23/b3), Live Free or Die is extremely explosive. Almost all patterns of cells will expand at the speed of light, filling the grid with chaos as they go. But the patterns that don't explode have the same amazing variety and complexity as those in Life. Some are oscillators, which return to their initial state after some number of generations. Some are spaceships, which travel across the grid. Others leave trails or launch projectiles: there are puffers and rakes, which produce oscillators or spaceships as they move, and guns, which emit spaceships as they oscillate. Like Life, Live Free or Die is home to objects of a variety of periods, and some, like the anchor track, that can have arbitrarily high periods. Its spaceships and puffers travel at a variety of speeds and look wildly unalike — some seem mechanical, some organic; some, like the moon, are extremely small, and others, like the beachcomber ship, are very large. And, like Life, Live Free or Die has stable patterns — in this case, consisting only of arrangements of isolated cells, or dots — which can burn away, shrink and capture spaceships, and maybe someday, like Life, calculate anything that is calculable.
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    freedom collider. To observe or participate in exploration of the rule as it unfolds, I recommend following the Live Free or Die forum thread on the ConwayLife.com forums.
    Live Free or Die is the state motto of New Hampshire, from a toast by the Revolutionary War general John Stark. It was chosen as the name of this cellular automaton because the only cells that survive are those that are free of neighbors.
    The following is a collection of patterns in Live Free or Die, including all known objects as of October 14th, 2013:
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    8:12 am
  2. page Challenges edited ... Objects of undiscovered speeds As mentioned above, the only known speeds of spaceships in Liv…
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    Objects of undiscovered speeds
    As mentioned above, the only known speeds of spaceships in Live Free or Die are c, c/2, 2c/5, c/3, c/4, and c/5 orthogonal, and c/4 diagonal. There are no known puffers that travel slower than c other than c/2 and c/5 rakes. There are also no known spaceships or puffers that travel in an oblique direction (knightships).
    BreedersSpacefillers
    There are no known breeders or spacefillers in
    Replicators
    There are no known replicators in Live Free or Die.
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    8:10 am

Wednesday, February 18

  1. page monster toaster edited An infinitely extensible seven-cell pre-spark of the following form, which is the smallest known me…
    An infinitely extensible seven-cell pre-spark of the following form, which is the smallest known method of creating pre-sparks of any arbitrary longevity 28 generations or greater. So named because it uses a moon and two dots to create a pattern which goes through 11 uninterrupted generations of a monster’s oscillation before being destroyed by another dot. The smallest iteration, shown below, dies in 28 generations and is extended by shifting the moon down one cell. Generation 1 of this pattern, not a true monster toaster, is also the smallest known pre-spark that dies in 27 generations.
    {monster stack.png}toaster.png}
    x = 11, y = 4, rule = s0/b2
    o2bo$10bo$b2o$o2bo!
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    6:23 am

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