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Maze is a Life-like cellular automaton in which cells survive from one generation to the next if they have at least 1 and at most 5 neighbours. Cells are born if they have exactly 3 neighbours. Because of this, many small patterns behave the same as they would in Conway's Game of Life. In general, any pattern that does not have a living cell adjacent to 1, 4, or 5 other living cells in any of its generations will behave identically under both rules. Because this restriction is satisfied by very few large patterns, evolution under the maze rule differs greatly from evolution under the standard Life rule in general.
This rule is notable because random starting patterns tend to evolve into complex maze-like structures with well-defined walls outlining corridors.
The maze rule is explosive, which means that most randomly-generated starting patterns will explode in all directions. Nonetheless, there are many still lifes and oscillators under this rule. It has no known spaceships.
Below is a sampling of many small patterns that are still lifes in the maze rule. Several small still lifes from Conway's Game of Life are also still lifes in this rule, and they include block, tub, barge, ship, boat, loaf, beehive, snake, and aircraft carrier.
Other notable still lifes include the infinitely-extensible diagonal line. Also, any diamond in which every other cell is alive (i.e. any barge that is extended in either length or width) is a still life.
The most well-known related rule is known as mazectric, which has rulestring 1234/3. That is, it is the same as the maze rule except that cells don't survive if they have 5 neighbours. This results in maze patterns that tend to have longer and straighter corridors.
- "Maze (B3/S12345)". David Eppstein. Retrieved on March 16, 2009.