Cellular Automata rules lexicon 

Family: Weighted Life 
Type: totalistic or outer totalistic parameterization with optional decay
"Weighted Life" allows applying different weights to particular neighbors, including the cell itself. The weight of neighbors can be set within a range [256..256]. When calculating the count of neighbors the sum of weights of alive neighbors is taken in account. The sum should be within a range [2048..2048]. Another extension of Weighted Life is the History, known already from the Game "Generations".
The notation of rules in "Weighted Life" is more complex. It consists of 12
different keywords, specified in any order:
NW NN NE WW EE SW SS SE ME HI RS RB.
First 8 keywords define weights of appropriate 8 neighbors. "ME" keyword specifies the weight of the center cell. "HI" is a History flag. If nonzero, it tells how many states cells can have (including 0 state). "RS" and "RB" keywords specify Rules for Survival and Rules for Birth, respectively. They can appear any number of times in the string.
Note
"Weighted Life" is one of the most complex families of rules in MCell. The rules
of many other families (Life, Generations,
Vote for Life, General
binary) can be realized in it. For example in order
to realize Life rules it’s enough to assign 1 to all neighbors, 0 to the
center cell and to
switch off the History. One can also define hexagonal rules by defining NE and SW
neighbors as 0.
MJCell Java applet is able to run all rules from this group.
Name  Character  Rule  Description  
Ben's rule  Chaotic  An interesting chaotic rule with a commonly appearing orthogonal glider.
Close variations of the rule support also diagonal gliders. A rule by Ben Schaeffer. 

Border  Exploding  Border is a rule which uses two bits. One of the bits is a
background "cycle" bit, and the other bit is a visible on/off firing/dead bit.
The Cycle bit toggles Border between two modes: Flood mode and Hollow mode. In Flood mode,
Border turns on any cell which is touching a firing cell. In Hollow mode, Border turns off
any cell which is at the center of an allfiring ninecell neighborhood. The effect of Border is that lines keep getting thick, splitting into two, having the new pieces get thick and split to make four, and so on. Many of the Border patterns are reminiscent of the mathematical objects called "Cantor sets." Strictly speaking, this version has 8 more states than traditional Border would, but it seems to allow easier perception of the overall dynamics. Coded in MCell by Charles A. Rockafellor. Author unknown. 

Bricks  Gliding  A very original rule full of small square bricks gliding in all 4
directions. The rule features still life, gliders, puffers, guns. A rule by Mirek Wojtowicz. 

Bustle  Exploding  A busy rule which generates many small ships and puffers. Large complicated ships can easily be built using combinations of colliding puffers. Several stretchers are also among the basic elements. The small ships can usually be expanded using simple techniques to generate ships of arbitrary width and
height. A rule by Brian Prentice. 

Career  Chaotic  What comes up, must go down. The professional career simulation. This rule
is a very small modification of Conway's Life (the upper cell counts as 2), yet the
results are dramatically different. A rule by Mirek Wojtowicz. 

Cloud54  Chaotic  An "L7" rotationally symmetrical weighted rule. The most
interesting feature is a period 54 cloud that travels N by NE. Also commonly
features hook shaped still lifes and gliders that travel in the NE direction exclusively,
some leaving behind a single pixel trail. A rule by Ben Schaeffer. 

Cloud75  Chaotic  An "L7" rotationally symmetrical weighted rule, variation of
cloud54. The most interesting feature is a period 75 cloud that travels S and E by a ratio
of 4 cells by 3 cells. Also commonly features some simple still lifes, a N glider, and a S
by SW glider. A rule by Ben Schaeffer. 

Conway  Chaotic  Conway's Life: the most famous rule in orthogonal/diagonal weighted
representation. A rule by John Conway. 

Conway  Chaotic  A Conway variation which subtracts the survival rule of 2 orthogonal
neighbors, the result being that everything dies down quickly. A rule by Ben Schaeffer. 

Conway++  Chaotic  A Conway variation which adds the survival rule of 4 diagonal neighbors,
the result being that chaotic expansion is extended. A rule by Ben Schaeffer. 

Conway+1  Chaotic  A distant Conway variation, commonly features a zigzag puffer train. A rule by Ben Schaeffer. 

Conway+2  Chaotic  A distant Conway variation. A rule by Ben Schaeffer. 

CrossPorpoises  Chaotic  A weighted asymmetric colliding glider rule. A rule by Ben Schaeffer. 

Cyclish  Cyclic  "Cyclish" is so named because of its uncanny resemblance to the
"true" Cyclic CA. A rule by John Elliott. 

Cyclones  Stable  This rule supports rotators similar to those in Swirl and Pinwheels, but the center of rotation itself travels  that is, these
rotators are gliders rather than stationary oscillators. A rule by John Elliott, October 2000. 

Dragon  Chaotic  A weighted orthogonal rule. Contains a period 48 oscillator that is reminiscent of a Chinese dragon and a variety of gliders, oscillators, and replicators. Most patterns expand orthogonally
forever. A rule by Ben Schaeffer. 

Emergence  Chaotic  An asymmetrical weighted rule. Fire like tendrils move chaotically
downward and occasionally horizontal line still life or even gliders grow to the left,
and, though rare, a pulsing \+* character glider can emerge. A rule by Ben Schaeffer. 

Fireflies  Stable  The small patterns, moving with the light speed, resemble fireflies. A rule by Mirek Wojtowicz. 

Fleas  Exploding  A rule with a familiar glider that has diagonally self replicating
"fleas" that leave "flea dust" behind them. A rule by Ben Schaeffer. 

Fleas2  Exploding  A dynamic variation of the Fleas rule with a symmetric replicator. A rule by Ben Schaeffer. 

NoFleas2  Exploding  Variation of Fleas2 that lacks the replicator but supports some
interesting gliders. A rule by Ben Schaeffer. 

FroggyHex  Chaotic  A weighted hexagonal rule. Has a common period 2 glider that goes in
3 directions and a rare period 4 glider that goes in the other 3 directions, a rare
glider generator, and a simple period 2 oscillator. A rule by Ben Schaeffer. 

Frost M  Exploding  Frost rule in Moore neighbourhood. When started from single cells, it
produces patterns similar to those appearing on windowpanes on frosty days. A rule by Mirek Wojtowicz. 

Frost N  Exploding  Frost rule in von Neumann neighborhood. When started from single cells,
it produces patterns similar to those appearing on windowpanes on frosty days. A rule by Mirek Wojtowicz. 

Gnats  Chaotic  A predecessor to fleas. This rule is simpler but has an interesting
replicator. A rule by Ben Schaeffer. 

HexParity  Exploding  "The hexagonal hood analogue to Fredkin's von Neumann version. It has the replicative properties of the original. The dot
seed leads to some splendid designs in which the Star of David figures prominently."
 J.Elliott A rule by Edward Fredkin. 

Hexrule b2o  Chaotic  A somewhat "Lifelike" 2state hexagonal B2o/S2m34
rule. The rule has many properties associated with Life: gliders, reflectors, oscillators,
still life, duplicators, reflectors, etc. A rule by Paul Callahan. 

Hextenders  Chaotic  Nice crystal/active equipoise. Some real possibilities with this one. A rule by John Elliott, August 2000 

Hex Inverse Fire  Chaotic  A variation on Callahan's hexrule where heavily populated areas of live
cells support hexrule life forms composed of dead cells. A rule by Ben Schaeffer. 

HGlass  Stable  (Hour glass) The rule organizes a nice sliding flow on a random screen,
and it disassembles solid starting patterns in an interesting way. A rule by Margolus and Toffoli. 

Hogs  Chaotic  A weighted hexagonal rule that has an oscillator, two gliders commonly
occurring, and a still life. A rule by Ben Schaeffer. 

Jitters  Chaotic  A rotationally symmetric weighted rule. Contains various gliders and
oscillators all with a characteristic period 2 jitter. This rule uses negative weights for
4 cell neighbors and positive weights for the other 4 cell neighbors. A rule by Ben Schaeffer. 

Lemmings  Stable  A vertically symmetric weighted rule. The interesting feature is a
period 2 glider that, with imagination, looks like an overhead view of a running
rodent. With wrap off they hit a wall. A rule by Ben Schaeffer. 

Linguini  Chaotic  A weighted orthogonal rule. Features chaotic expansion with a variety of
orthogonally connected still lifes. A rule by Ben Schaeffer. 

Madness  Chaotic  A dynamic rule with a big patternscreating potential. A rule by Mirek Wojtowicz. 

MazeMakers  Chaotic  A weighted asymmetric rule, variation of Cross Porpoises that creates
orthogonal walls of a maze. Some walls often have oscillating flamelike ends sometimes
generating gliders. Other walls grow and shrink upon collision with other walls. A rule by Ben Schaeffer. 

MidgeDN  Stable  Although inspired by Midges, this rule produces quite different results. A rule by Ben Schaeffer. 

Midges  Stable  This rule produces small midges, which produce small black stains... A rule by Mirek Wojtowicz. 

MikesAnts  Chaotic  The rule uses N,NE,W,SW,S, and SE neighbors, and has births for 2, 5, or 6 live neighbors and survivors for 4 or 5 live
neighbors. This rule has lots of different glider species. A rule by Mike Creutz. 

Mosquito  Chaotic  A rotationally symmetric rule. Shares some Conway still lifes, features a
rotating L shape, and orthogonal gliders. A rule by Ben Schaeffer. 

Mosquito2  Chaotic  A variation of the mosquito birth rule. Adds diagonal and spinning
gliders. A rule by Ben Schaeffer. 

Navaho1  Chaotic  A rule by Michael Sweney. 

Nocturne  Stable  Features an emergent "free form" period57 oscillator that is somewhat reminiscent of the objects in Schaeffer's cloud rules,
except there is no displacement. There are also some fairly strange gliders. A rule by John Elliott, October 2000. 

Parity  Exploding  Parity rule, a very simple example of "selfreproduction" in
cellular automata using the von Neumann neighborhood. A rule by Edward Fredkin. 

Pictures  Stable  A beautiful rule using the von Neumann neighborhood. All patterns tend to
form rectangular shapes (dynamic "mandalas"), filled with sparkling cells.
The specifics of a frame's picture show are totally dependent on its dimensions. A rule by Mirek Wojtowicz. 

PicturesH  Stable  Pictures with History  variation on the Pictures rule using the von
Neumann neighborhood. All patterns tend to form rectangular shapes, filled with sparkling
cells. A rule by Mirek Wojtowicz. 

Pinwheels  Stable  The rule produces spinning wheels and cometlike gliders.
Try also 5 and 10 counts of states. The related rules you get thereby feature some especially
peculiar emergent objects. A rule by John Elliott, August 2000 

PipeFleas  Chaotic  A weighted orthogonal rule with decay. Features 2cell wide solid
"pipes" that appear, grow orthogonally, and disappear amid lots of chaotic expansion. Also has a common replicator similar to fleas2
which expands and dies like ripples on water.. A rule by Ben Schaeffer, 2000 

PreHogs  Chaotic  A weighted hexagonal rule, a predecessor of Hogs. Common features are a
wormlike glider that can be of any length and similar still lifes. A rule by Ben Schaeffer. 

PuttPutt  Chaotic  A weighted orthogonal rule with a dash still life, several orthogonal
gliders the most common of which appears to have a pulsing exhaust cloud, and some unique
oscillators. A rule by Ben Schaeffer. 

SEmigration  Gliding  A diagonally symmetric weighted rule where all expansion is towards the
Southeast. Includes still lifes, gliders, puffer trains, and oscillators. A rule by Ben Schaeffer. 

Simple  Chaotic  A weighted orthogonal/diagonal rule, one of the simplest rules around.
Commonly features a 3 cell diagonal glider, a 2 cell dash still life, and a period 4
blinker. A rule by Ben Schaeffer. 

Simple hex crystal  Gliding  A weighted asymmetric rule that shows the effect of crystallization. For
best results use 'wrap' and more colors. A rule by Ben Schaeffer. 

Simple Inverse  Chaotic  Simple variation where the heavily populated areas of live cells support
"Simple" life forms composed of dead cells. A rule by Ben Schaeffer. 

Simple Inverse Fire  Chaotic  Simple inverse variation where the edges between heavily populated areas
and extremely sparsely populated areas is unstable, with a common orthogonal glider. A rule by Ben Schaeffer. 

Stampede  Gliding  A rule in which all patterns turn to various creatures rushing
horizontally in one direction. A rule by Mirek Wojtowicz. 

Starburst  Chaotic  A weighted orthogonal rule with a very common starburstlike oscillator.
The rule features also a rare butterflylike glider. A rule by Ben Schaeffer. 

Starbursts2  Chaotic  A weighted orthogonal rule with a very common starburstlike oscillator,
several gliders, and puffer trains that lay tracks. A rule by Ben Schaeffer. 

Stream  Gliding  Chaotic waves travel Northwest, period 4 "Minnows" head in the
Southeast direction, and gliders reminiscent of "Water Strider" insects travel
North and West. A rule by Ben Schaeffer. 

UpDown1  Chaotic  A vertically symmetric weighted rule, an experiment with different
expansion weights for North verses South birth rules. Chaotic expansion exists in the
South direction, but a puffer train that leaves pairs of 2 pixel dashes (still life)
emerges going in the North direction. A rule by Ben Schaeffer. 

UpDown2  Chaotic  A vertically symmetric weighted rule, an experiment with different
expansion weights for North verses South birth rules. This rule has some Conway still life
and oscillators, but different gliders going North and South. The name of the rule soon turned out to be incorrect due to Mirek Wojtowicz's discovery of the horizontal gliders. A rule by Ben Schaeffer. 

Upstream  Gliding  A very amusing rule where different fishlike patterns travel horizontally
in both directions. After a short collisionsphase patterns gather in groups and make
their way through patterns moving in the opposite direction. A rule by Mirek Wojtowicz. 

Vineyard  Exploding  A weighted asymmetric rule, variation of "Zipper Makers". Out of
chaos flamelike insects collide to create evolving vines. A rule by Ben Schaeffer. 

Vineyard2  Exploding  A weighted asymmetric rule, variation of "Zipper Makers". Out of
chaos flamelike insects collide to create evolving vines. A rule by Ben Schaeffer. 

Weevils  Chaotic  A rotationally symmetric rule, with simple but unique still lifes,
oscillators, and horizontal gliders. A rule by Ben Schaeffer. 

Weighted Brain  Exploding  The rule is somewhat similar to Brian's Brain, but it has also some unique
features: a linear replicator, a modular (i.e. you can add on "parts" )
oscillator and an oscillator/gun. It also has "marvel" ships that grown infinite
streamers. A rule by Michael Sweney. 

Y_Chromosome  Chaotic  A totalistic hexagonal rule with decay. Features exploding
replicators, common glider with an undulating tail, and some uncommon oscillators
and gliders. Ben Schaeffer 2000 

ZipperMakers  Chaotic  A weighted asymmetric rule, variation of "Maze Makers". Walls
usually grow and shrink and new walls can evolve. A rule by Ben Schaeffer. 
Webmaster: Mirek Wójtowicz info@mirekw.com, mirwoj@life.pl http://www.mirekw.com 

Last update: 15 Sep 2001