workshop01G1:Codefarm
L-System
The L-System, also known as the Lindenmayer System, is created in 1968 by the Hungarian theoretical biologist and botanist A. Lindenmayer. The L-system can be used to describe the behavior of plant cells and to model the growth process of plants.
How does it work:
A plant starts with an axiom and the growth is described by some rules. For example:
Axiom = A, RuleA = A+B-A, RuleB = B-A
Rule A means that every A will be turned in A+B-A; while rule B means that every B will be turned into B-A. Since the Axiom (starting point) is A, This will be turned into A+B-A. In the next iteration every A will be turned into A+B-A again, while the B will be turned into B-A. So for the second iteration we get:
A (Axiom)
A+B-A (1st iteration)
A+B-A+B-A-A+B-A (2nd iteration)
and so on
The '+' and '-' sign tells in which direction the plant grows. For example, when the angle of growth is 60º, the '+' tells to turn 60 degrees in positive direction and the '-' sign tells to turn 60 degrees into the negative direction.
Now, an example written in GH Python for Grasshopper 3D:
As you can see, in Grasshopper we have a start point, an axiom and two rules which can be changed easily. There are also three sliders for the length, angle and the number of iterations. The outcome is a list of points with a polyline through the points.
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