L-System Explorer

The angle by which the path will rotate every time a + or - appears.

Each of these variables is interpreted as "move forward 1 unit", They are all treated identically when drawing but can be expanded differently by the rules of the system.

These variables are totally skipped over when drawing but they are treated like normal variables when computing the rules.

This tool only allows a pre-defined set of constants: +,-,[, and ]:

  • + is interpreted as "turn left by <Angle> degrees"
  • - is interpreted as "turn right by <Angle> degrees"
  • [ stores the current state (position and rotation) on a stack
  • ] retrieves the last stored state off the stack

The implicit rule for all constants is x → x, i.e. they persist unchanged into all future iterations.

The starting state of the system (i.e. iteration 0).

In each iteration, each variable is replaced by its correspoding rule (which probably expands it into a series of more variables and constants).