Cellular Automata rules lexicon

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Current version of MCell handles 15 different Cellular Automata families, with many interesting rules each. I did my best to find authors of all rules I present here, anyhow some rules still miss this information. If you can help me in finding them, I will be very thankful. I'm also sorry if I didn't put the right discoverer to a rule. Some rules were also found independently by several persons. If you think you know the real discoverer, please let me know.

Alphabetical index of families of rules

Family of rules Abbrev. Type
1-D totalistic CA 1DCA 1D, totalistic or outer totalistic with decay
1-D binary CA  1DBI 1D, binary, with optional decay
Cyclic CA CYCL 2D, cyclic totalistic
General binary  GEBI 2D, binary, in Moore and von Neumann neighborhood, with optional decay
Generations GENE 2D, outer totalistic with decay
Larger than Life LGTL 2D, totalistic or outer totalistic with or without decay, in extended neighborhood
Life LIFE 2D, outer totalistic
Margolus  MARG 2D, binary, in Margolus neighborhood
Neumann binary NMBI 2D, binary, in von Neumann neighborhood
Rules tables RTAB 2D, totalistic or outer totalistic rules table
Special rules SPEC 2D, depends to the rule
User DLLs UDLL 1D and 2D, any neighborhood
Vote for Life VOTE 2D, totalistic
Weighted Generations WGEN 2D, totalistic or outer totalistic parameterization with optional decay
Weighted Life WLIF 2D, totalistic or outer totalistic parameterization with optional decay

Alphabetical index of rules (rule name / family)

  1. 2x2 / LIFE
  2. 3-color bootstrap / CYCL
  3. 313 / CYCL
  4. 34 Life / LIFE
  5. Abacus / 1DCA
  6. Aggregation / NMBI
  7. Amoeba / LIFE
  8. Amoeba / CYCL 
  9. Assimilation / LIFE
  10. Aurora / UDLL
  11. Balloons / RTAB
  12. Banners / GENE
  13. Banks / GEBI 
  14. BBM / MARG 
  15. BelZhab / GENE
  16. BelZhab Sediment / GENE 
  17. Ben's rule / WLIF
  18. Bermuda Triangle / 1DBI
  19. Birds / NMBI
  20. Black vs White / CYCL 
  21. Bloomerang / GENE  
  22. Bombers / GENE
  23. BounceGas / MARG 
  24. BounceGasII / MARG 
  25. Border / WLIF 
  26. Brownian motion / 1DBI
  27. Brain 6 / GENE
  28. Brian's Brain / GENE
  29. Bricks / WLIF
  30. Bugs / LGTL
  31. Bugsmovie / LGTL
  32. Burst / GENE  
  33. BurstII / GENE  
  34. Bustle / WLIF  
  35. Busy Brain / RTAB
  36. CCA / CYCL
  37. Career / WLIF
  38. Cars / RTAB
  39. Caterpillars / GENE
  40. Champagne / 1DCA
  41. Chaotic gliders / 1DBI
  42. Chenille / GENE
  43. Cheops / RTAB
  44. Circuit Genesis / GENE 
  45. Class 4 a / 1DCA
  46. Class 4 b / 1DCA
  47. Class 4 c / 1DCA
  48. Cloud54 / WLIF 
  49. Cloud75 / WLIF 
  50. Coagulations / LIFE
  51. Colony / NMBI  
  52. Compound glider / 1DBI
  53. Conway / WLIF
  54. Conway's Life / LIFE
  55. Conway++ / WLIF
  56. Conway-- / WLIF
  57. Conway+-1 / WLIF
  58. Conway+-2 / WLIF
  59. Cooties 2 / RTAB
  60. Cooties / GENE
  61. Coral / LIFE
  62. Crawlers / RTAB
  63. Critters / MARG 
  64. CrossPorpoises / WLIF
  65. Crystal2 / NMBI
  66. Crystal3a / NMBI
  67. Crystal3b / NMBI
  68. Cubism / CYCL  
  69. Cyclic spirals / CYCL
  70. Cyclish / WLIF
  71. Cyclones / WLIF  
  72. DLA / UDLL  
  73. DNA / UDLL
  74. Date palms / 1DCA
  75. Day & Night / LIFE
  76. Diamoeba / LIFE
  77. Digital Inkblots / UDLL
  78. Dragon / WLIF  
  79. Ebb&Flow / GENE
  80. Ebb&Flow II / GENE
  81. EcoLiBra / RTAB
  82. Embossed triangles / 1DCA
  83. Emergence / WLIF
  84. Empire / RTAB  
  85. Faders / GENE
  86. Fallski / GEBI  
  87. Fences / 1DCA
  88. Feux / VOTE
  89. Filiform gliders 1 / 1DBI
  90. Filiform gliders 2 / 1DBI
  91. Fire sticks / RTAB
  92. Fire-flies / WLIF
  93. Fireworks / GENE
  94. Fish-bones / 1DBI
  95. Fishing-net / 1DBI
  96. Flakes / LIFE
  97. FlamingStarbows / GENE  
  98. Fleas / WLIF
  99. Fleas2 / WLIF
  100. Forest / 1DCA
  101. Fossil debris / CYCL
  102. FractalBeads / GEBI 
  103. Fredkin / VOTE
  104. Fredkin2 / NMBI
  105. Fredkin3 / NMBI
  106. FroggyHex / WLIF 
  107. Frogs / GENE
  108. Lava / GENE
  109. Frost M / WLIF
  110. Frost N / WLIF
  111. Frozen spirals / GENE 
  112. Galaxy / NMBI  
  113. GH Macaroni / CYCL
  114. GH Multistrands / CYCL
  115. GH Percolation mix / CYCL
  116. GH Weak spirals / CYCL
  117. GH / CYCL
  118. Gears 1 / 1DCA
  119. Gears 2 / 1DCA
  120. Glider p106 / 1DBI
  121. Glider-gun p168 / 1DBI
  122. Glisserati / GENE 
  123. Glissergy / GENE  
  124. Globe / LGTL 
  125. Gnarl / LGTL
  126. Gnarl / LIFE
  127. Gnats / WLIF
  128. Greenberg / NMBI 
  129. GreenHast / UDLL
  130. Heavy triangles / 1DBI
  131. HexParity / WLIF  
  132. Hexrule b2o / WLIF
  133. Hextenders / WLIF 
  134. Hex Inverse Fire / WLIF
  135. HGlass / WLIF
  136. HighLife / LIFE
  137. HistoricalLife / RTAB 
  138. Hodge / UDLL
  139. Hogs / WLIF
  140. Honeycomb / NMBI  
  141. HPP_Gas / MARG 
  142. Imperfect / CYCL  
  143. Inverse gliders / 1DBI
  144. InverseLife / LIFE 
  145. Jitters / WLIF
  146. JustFriends / GEBI  
  147. Kites / 1DBI
  148. Knitting / NMBI  
  149. Ladders / RTAB
  150. LavaLamp / CYCL
  151. Lake / NMBI
  152. Lemmings / WLIF
  153. Linear A / 1DBI
  154. Linear B / 1DBI
  155. Lines / GENE  
  156. Linguini / WLIF
  157. LivingOnTheEdge / GENE  
  158. LogicRule / GEBI  
  159. Long life / LIFE
  160. Madness / WLIF
  161. Majority / LGTL
  162. Majorly / LGTL
  163. Maps / CYCL
  164. Marvel / 1DCA
  165. Maze / 1DCA
  166. Maze / LIFE
  167. Mazectric / LIFE  
  168. MazeMakers / WLIF
  169. Meteorama / GEBI  
  170. MeteorGuns / GENE
  171. MidgeDN / WLIF
  172. Midges / WLIF
  173. MikesAnts / WLIF 
  174. ModernArt / LGTL  
  175. ModulusM4 / UDLL
  176. ModulusMS9 / UDLL
  177. ModulusMT9 / UDLL
  178. ModulusN2 / UDLL
  179. Mosquito / WLIF 
  180. Mosquito2 / WLIF 
  181. Move / LIFE
  182. Navaho1 / WLIF
  183. Nocturne / WLIF  
  184. NoFleas2 / WLIF
  185. Noname01 / 1DCA
  186. Noname02 / 1DCA
  187. Nova / GENE
  188. OrthoGo / GENE  
  189. Parity / WLIF
  190. Pascal's triangle / 1DCA
  191. Pascal's triangle / 1DBI
  192. Perfect / CYCL
  193. Pictures / WLIF
  194. PicturesH / WLIF
  195. Pinwheels / WLIF  
  196. PipeFleas / WLIF 
  197. Piranha / RTAB
  198. Plaitwork / 1DBI
  199. Plankton / NMBI
  200. Pond / NMBI
  201. Porridge / 1DCA
  202. Prairie on fire / GENE
  203. PreHogs / WLIF 
  204. Pseudo life / LIFE
  205. PuttPutt / WLIF
  206. R3 Gliders / 1DBI
  207. Raindrops / 1DBI
  208. RainZha / GENE
  209. Rake / GENE  
  210. RanBrain / RTAB
  211. Randomizer 1 / 1DBI
  212. Randomizer 2 / 1DBI
  213. RandomWalk / UDLL  
  214. Relief gliders / 1DBI
  215. Replicator / LIFE
  216. Roots / 1DTO 
  217. Rotations / MARG 
  218. RotationsII / MARG 
  219. RotationsIII / MARG 
  220. RotationsIV / MARG 
  221. Rug / UDLL
  222. Sand / MARG 
  223. Scaffolding / 1DBI
  224. SediMental / GENE
  225. Seeds (2) / LIFE
  226. SEmigration / WLIF 
  227. Serviettes / LIFE
  228. Shaded Triangles / 1DTO 
  229. Simple / WLIF
  230. Simple hex crystal / WLIF
  231. Simple Inverse / WLIF
  232. Simple Inverse Fire / WLIF
  233. Simpliski / GEBI
  234. Skyscrapers / 1DCA
  235. Slugfest / GEBI  
  236. Snake / GENE 
  237. Snowflakes / GEBI  
  238. SoftFreeze / GENE  
  239. Solitons A / 1DBI
  240. Solitons A' / 1DBI
  241. Solitons B / 1DBI
  242. Solitons B' / 1DBI
  243. Solitons B3 / 1DBI
  244. Solitons C1 / 1DBI
  245. Solitons C2 / 1DBI
  246. Solitons D1 / 1DBI
  247. Solitons D2 / 1DBI
  248. Solitons E / 1DBI
  249. Solitons F / 1DBI
  250. Spirals / GENE
  251. Springski / GEBI  
  252. Squarish Spirals / CYCL 
  253. Stable gliders / 1DBI
  254. Stains / LIFE
  255. Stampede / WLIF
  256. Star Wars (MirekGro) / GENE
  257. Starburst / WLIF
  258. Starbursts2 / WLIF
  259. Sticks / GENE
  260. Strangers / RTAB
  261. Strata / NMBI  
  262. Stream / WLIF 
  263. StringThing / MARG 
  264. StringThingII / MARG 
  265. Stripes / CYCL
  266. SwapOnDiag / MARG 
  267. Swirl / GENE
  268. Tanks / NMBI  
  269. The City / 1DCA
  270. Threads / 1DBI
  271. ThrillGrill / GENE  
  272. Traffic CA / SPEC
  273. Transers / GENE
  274. TransersII / GENE 
  275. Triad / UDLL
  276. Triangular gliders / 1DBI
  277. Tron / MARG 
  278. Tulips / 1DCA
  279. Turbulent phase / CYCL
  280. Typhoon / NMBI
  281. UpDown1 / WLIF 
  282. UpDown2 / WLIF 
  283. Upstream / WLIF
  284. Venus / UDLL
  285. Vineyard / WLIF
  286. Vineyard2 / WLIF
  287. Vote 4/5 / VOTE
  288. Vote / VOTE
  289. Waffle / LGTL
  290. WalledCities / LIFE 
  291. Walls / 1DCA
  292. Wanderers / GENE
  293. Wave / NMBI
  294. Weevils / WLIF
  295. Weighted Brain / WLIF
  296. WG Rule004 / WGEN
  297. WG Rule012 / WGEN
  298. WG Rule020 / WGEN
  299. WG Rule031 / WGEN
  300. WG Rule038 / WGEN
  301. WG Rule050 / WGEN
  302. WG Rule063 / WGEN
  303. WG Rule071 / WGEN
  304. WG Rule072 / WGEN
  305. WG Rule074 / WGEN
  306. WG Rule084 / WGEN
  307. WireWorld / RTAB 
  308. Wood Grain / 1DTO 
  309. Worms / GENE
  310. Xtasy / GENE 
  311. Y_Chromosome / WLIF 
  312. Zig-Zags / 1DBI
  313. ZipperMakers / WLIF

 


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Last update: 20 Sep 2001