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- Brians_Brain abstract "Brian's Brain is a cellular automaton devised by Brian Silverman, which is very similar to his Seeds pattern. It consists of an infinite two-dimensional grid of cells, but unlike Seeds, each cell may be in one of three states: on, dying, or off. Each cell is considered to have eight neighbors (Moore neighborhood), as in Seeds and Conway's Game of Life. In each time step, a cell turns on if it was off but had exactly two neighbors that were on, just like the birth rule for Seeds. All cells that were \"on\" go into the \"dying\" state, which is not counted as an \"on\" cell in the neighbor count, and prevents any cell from being born there. Cells that were in the dying state go into the off state.Because of the cellular automaton's name, some websites compare the automaton to a brain and each of its cells to a neuron, which can be in three different states: ready (off), firing (on), and refractory (dying).The \"dying state\" cells tend to lead to directional movement, so almost every pattern in Brian's Brain is a spaceship. Many spaceships are rakes, which emit other spaceships. Another result is that many Brian's Brain patterns will explode messily and chaotically, and often will result in or contain great diagonal waves of on and dying cells. For example, a 2x2 block of on cells will result in an ever-expanding diamond consisting of four diagonal waves that move across the plane at the pattern's speed of light.Nevertheless, oscillators have been constructed in Brian's Brain. An example has just four on cells and four dying cells, and oscillates with period 3.".
- Brians_Brain thumbnail Brians_brain.gif?width=300.
- Brians_Brain wikiPageExternalLink mutants.html.
- Brians_Brain wikiPageID "20711147".
- Brians_Brain wikiPageLength "3106".
- Brians_Brain wikiPageOutDegree "13".
- Brians_Brain wikiPageRevisionID "679148776".
- Brians_Brain wikiPageWikiLink Brian_Silverman.
- Brians_Brain wikiPageWikiLink Category:Cellular_automaton_rules.
- Brians_Brain wikiPageWikiLink Cellular_automaton.
- Brians_Brain wikiPageWikiLink Conways_Game_of_Life.
- Brians_Brain wikiPageWikiLink MIT_Media_Lab.
- Brians_Brain wikiPageWikiLink Moore_neighborhood.
- Brians_Brain wikiPageWikiLink Oscillator_(cellular_automaton).
- Brians_Brain wikiPageWikiLink Rake_(cellular_automaton).
- Brians_Brain wikiPageWikiLink Seeds_(cellular_automaton).
- Brians_Brain wikiPageWikiLink Spaceship_(cellular_automaton).
- Brians_Brain wikiPageWikiLink Speed_of_light_(cellular_automaton).
- Brians_Brain wikiPageWikiLink File:Brians_Brain_P3_oscillator.gif.
- Brians_Brain wikiPageWikiLink File:Brians_brain.gif.
- Brians_Brain wikiPageWikiLinkText "Brian's Brain".
- Brians_Brain wikiPageUsesTemplate Template:Cite_web.
- Brians_Brain wikiPageUsesTemplate Template:Comp-sci-theory-stub.
- Brians_Brain subject Category:Cellular_automaton_rules.
- Brians_Brain hypernym Automaton.
- Brians_Brain comment "Brian's Brain is a cellular automaton devised by Brian Silverman, which is very similar to his Seeds pattern. It consists of an infinite two-dimensional grid of cells, but unlike Seeds, each cell may be in one of three states: on, dying, or off. Each cell is considered to have eight neighbors (Moore neighborhood), as in Seeds and Conway's Game of Life. In each time step, a cell turns on if it was off but had exactly two neighbors that were on, just like the birth rule for Seeds.".
- Brians_Brain label "Brian's Brain".
- Brians_Brain sameAs Q4962901.
- Brians_Brain sameAs m.051_wq4.
- Brians_Brain sameAs Q4962901.
- Brians_Brain wasDerivedFrom Brians_Brain?oldid=679148776.
- Brians_Brain depiction Brians_brain.gif.
- Brians_Brain isPrimaryTopicOf Brians_Brain.