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Cellular Automata rules lexicon |
|
Family: Larger than Life |
Type: totalistic or outer totalistic with or without decay, in extended neighborhood
This game extends Conway's Game of Life to larger neighborhoods given by Range and one of two available neighborhoods. A birth occurs at x if the population within its neighborhood (x included or not) lies in the interval [BMin, BMax]. Site x stays occupied if the count is in [SMin, SMax]. Thus Conway's Game is range 1 Box with values [3,3], [3,4], respectively. Additionally the history known from the Generations family can be defined.
The notation of Larger than Life rules has the "R,C,M,S,B,N" form,
where:
R - specifies the range (1..10)
C - specifies the count of states, 0..25. A value smaller than 3 means the history is not
active. Values greater than 2 activate the history, with the given count of states.
M - specifies activity of the center (middle) cell. 1 is on, 0 is off.
S - specifies a range of firing neighbors necessary for the cell to survive. Example:
S2..15.
B - specifies a range of firing neighbors necessary for the cell to be born. Example:
B7..11.
N - specifies the neighborhood type: NM stands for extended Moore (box), NN for extended
von Neumann.
| Name | Character | Rule | Description |
| Bugs | Chaotic | R5,C0,M1, S34..58, B34..45,NM | The rule is full of seriously endangered species in the crowded
environment of the rule's characteristic dynamics. It was discovered while exploring
LtLife phase space on the CAM8 cellular automaton machine. A lot of objects and patterns for the rule have been found by Richard Gradischnegg. A rule by Kellie Evans. |
| Bugsmovie | Chaotic | R10,C0,M1, S123..212, B123..170,NM | This rule produces various bugs (gliders) and blinkers (oscillators) in a
range 10 Box Larger than Life rule. A rule by David Griffeath. |
| Globe | Expanding | R8,C0,M0,S163..223, B74..252,NM | Dense-enough to survive small starting patterns form circular shapes that
resemble planets watched from spaceships. A rule by Mirek Wojtowicz. |
| Gnarl | Exploding | R1,C0,M1, S1..1, B1..1,NN | This simple rule, started from a configuration of several diagonally
adjacent occupied cells grows fractals and snowflakes. The rule was named in homage to
Rudy Rucker. His book "Artificial Life Lab" (Waite Group, 1993) suggests that
the three fundamental characteristics of life are gnarl, sex and death. Check it out... A rule by Kellie Evans. |
| Majority | Stable | R4,C0,M1,S41..81, B41..81,NM | An example of a voter model; a range 4 Box has 81 cells, so each party
needs 41 or more for a local majority. Start from a completely random initial state with
equal densities of 0 and 1 states. Use single step to observe massive self-organization,
smoothing of the edges, two-color tessellation, convexification, and erosion of bounded
regions. Next run it up to the moment it fixates. A rule by David Griffeath. |
| Majorly | Expanding | R7,C0,M1,S113..225, B113..225,NM | Another case of a voter model of range 7. The rule, when started from a
random soup of 1s, slowly covers the lattice. Select many colors and an alternative
coloring method to achieve beautiful pictures. A rule by David Griffeath. |
| ModernArt | Chaotic | R10,C255,M1,S2..3, B3..3,NM | Most simple patterns expand into lines and blocks of color, except for the really simple ones, which form stable power blocks
(literally). A rule by Charles A. Rockafellor. |
| Waffle | Expanding | R7,C0,M1,S100..200, B75..170,NM | The rule, when started from small filled areas, produces beautiful
'waffles'. Intrigued by the delicate transient droplet patterns, Kellie Evans segued into 'engineering' mode in search of the perfect waffle. She discovered that for the LgtL given here, if we start from a radius 10 lattice circle, then the waffle appears to grow 'perfectly' for more than 70 updates before beginning to unravel. A rule by Kellie Evans. |
| Webmaster: Mirek Wojtowicz http://www.mirekw.com |
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Last update: 15 Dec 2001