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- Q4962901 subject Q8351262.
- Q4962901 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.".
- Q4962901 thumbnail Brians_brain.gif?width=300.
- Q4962901 wikiPageExternalLink mutants.html.
- Q4962901 wikiPageWikiLink Q1373549.
- Q4962901 wikiPageWikiLink Q1594663.
- Q4962901 wikiPageWikiLink Q189156.
- Q4962901 wikiPageWikiLink Q244615.
- Q4962901 wikiPageWikiLink Q2604498.
- Q4962901 wikiPageWikiLink Q3553322.
- Q4962901 wikiPageWikiLink Q4965295.
- Q4962901 wikiPageWikiLink Q7286556.
- Q4962901 wikiPageWikiLink Q7445692.
- Q4962901 wikiPageWikiLink Q7575582.
- Q4962901 wikiPageWikiLink Q8351262.
- Q4962901 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.".
- Q4962901 label "Brian's Brain".
- Q4962901 depiction Brians_brain.gif.