Cellular Automata rules lexicon 

Family: Neumann binary 
Type: binary, 2 bit, in von Neumann neighborhood
Neumann binary family of rules allows defining binary (configurationspecific) rules in Neumann neighborhood. MCell's implementation allows defining rules with up to 4 states of cells.
Neumann binary rules are represented as a string of digits. The first digit specifies the count of states, 2, 3, or 4; the rest of digits define the transition table  the state a cell will have in every possible configuration. For enumerating all possible neighborhood configurations the "ME,N,E,S,W" order is used.
Example:
Fredkin2 rule has the following definition: 201101001100101101001011001101001
The first digit, '2', tells the rule has 2 states (it's a 1 bit rule).
The second digit, '0', tells a cell in a configuration ME=0,N=0,E=0,S=0,W=0 will
get the state 0.
The third digit, '1', tells a cell in a configuration ME=0,N=0,E=0,S=0,W=1 will
get the state 1.
The fourth digit, '1', tells a cell in a configuration ME=0,N=0,E=0,S=1,W=0 will
get the state 1.
The fifth digit, '0', tells a cell in a configuration ME=0,N=0,E=0,S=1,W=1 will
get the state 0.
. . .
Note!
Neumann totalistic rules are much easier to define in "Weighted
Life" family.
MJCell Java applet is able to run all rules from this group.
Name  Character  Rule  Description 
Aggregation  Chaotic  A special type of crystallization that looks like aggregation.
It features a dramatic "phase transition" from "fluid" semispiral dynamics to a "solid" aggregate crystal.
The rule
uses 3 states. A rule by Tomoaki Suzudo, 2000. 

Birds  Chaotic  'Aquarium' family member. The rule shows selforganization resembling
traveling birds. A rule by Tomoaki Suzudo, August 1999. 

Colony  Chaotic  "In 'Colony', static marks spread all over the space as the time goes. This process looks like a sort of
colonization."  T.S. A rule by Tomoaki Suzudo, June 2000. 

Crystal2  Chaotic  This is the simplest (2state) example of selforganization at the edge of
chaos. The crystallization appears at the critical point between organized and chaotic
areas. A rule by Tomoaki Suzudo, 1999. 

Crystal3a  Chaotic  Another crystallization effect. The rule uses 3 states. A rule by Tomoaki Suzudo, 1999. 

Crystal3b  Chaotic  Another crystallization effect. The rule uses 3 states. A rule by Tomoaki Suzudo, 1999. 

Fredkin2  Exploding  Famous Fredkin's replicator in von Neumann neighbourhood. This is the
simple rule which makes patterns self replicate. After 32 steps every starting pattern is
replicated 5 times. A rule by Edward Fredkin, 1999. 

Fredkin3  Exploding  Another version of Fredkin's replicator in von Neumann neighbourhood. This
version uses 3 states. After 27 steps every starting pattern is replicated 5 times. A rule by Edward Fredkin, 1999. 

Galaxy  Chaotic  "Similar to Typhoon, but the growth of the vortex is limited, and sometimes it collapses. In Galaxy, any
[2cells] can not survive when at least one of the neighbors is [a 2cell]. This is added to Typhoon's rule."
 T.S. A rule by Tomoaki Suzudo, 2000. 

Greenberg  Expanding  A simple rule which sends out walls of 2 cell thicknesses in all 4
directions, the overall shape of which being that of the shortest path around the
original pattern. Compare also "GreenHast" rule in "User DLLs" family. A rule by J. Greenberg. Coded in MCell by Charles A Rockafellor. 

Honeycomb  Chaotic  "In 'Honeycomb', crystalline and dynamic parts coexist. Such combination is essential to various complex
system. For instance, organism is composed of static structures communicating one another."
 T.S. A rule by Tomoaki Suzudo, June 2000. 

Knitting  Chaotic  A rule by Tomoaki Suzudo, June 2000.  
Lake  Chaotic  'Aquarium' family member. The rule adds some chaos to the Pond rule. A rule by Tomoaki Suzudo, 1999. 

Plankton  Chaotic  'Aquarium' family member. The rule produces little creatures like in Pond,
their movement looks like plankton. A rule by Tomoaki Suzudo, 1999. 

Pond  Chaotic  The main 'Aquarium' family member. This beautiful rule produces hordes of
various little creatures crawling in the pond. A rule by Tomoaki Suzudo, 1999. 

Strata  Gliding  This rule goes through phases of layer forming, stability,
and slow decay. A rule by Ben Schaeffer, 2000. 

Tanks  Chaotic  A rule by Tomoaki Suzudo, 1999.  
Typhoon  Chaotic  'Aquarium' family member with an
interesting "phase transition". Apparently similar to Lake, the rule very often
produces stable spiral cores that slowly take over the lattice swallowing all little
creatures. A rule by Tomoaki Suzudo, 1999. 

Wave  Chaotic 
"'Wave causes quasistatic waves which are more likely to appear in nature than purely static ones."
 T.S. A rule by Tomoaki Suzudo, June 2000. 
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Last update: 15 Sep 2001