Rule number or transform:
Number of iterations:

  • Try these ``interesting'' rules: labyrinth labyrinth 2 labyrinth 3 bridges ladders office trees boxes boxes2 boxes3 Faces small nazi big nazi
  • The rule is defined by a four-digit number, where each digit must be from 0 to 7. Digit 0-3 means rotation by 0,90,180,270 degrees. Digit 4-7 means vertical flip followed by rotation of 0,90,180,270 degrees. For each iteration, four copies are made and transformed as specified, then shrunk by half and moved to four corners. The four digits correspond to transformations on upper-left, upper-right, lower-left and lower right, respectively. The resulting rule is also shown graphically above. There is a total of 8^4=4096 different rules, although some of them produce the same patterns.
  • Hints: Try using arrow keys to slide. Press "enter" after you specify a rule.
  • Let me know ( if you find some other cool patterns that you'd like to add to the list.
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