The Artist's Husband: L-Systems
· the artists husband generative art l-systems rust nannou turtle graphics fractals sierpinski triangle 
Let’s look at L-Systems ! Also known as Lindenmayer Systems, after their inventor, Aristid Lindenmayer , L-Systems are sets of rules for manipulating symbols. They consist of an alphabet of symbols that can be used to make strings, and a set of rules used to transform those strings. When fed a starting string, it will produce a sequence of new strings based on its rules. This was originally a way to formally describe the growth of fungi, algae, etc.
The Artist's Husband: The de Jong Attractor
· generative art the artists husband clojure quil de jong attractor sierpinski triangle attractor strange attractor fractal 
In my last post , we played The Chaos Game and ended up with a Sierpinski Triangle. It’s quite nice as far as it goes, but there is not a lot of variation and visual interest beyond the initial surpise of finding it buried in the chaos at all. This time around, lets look at the de Jong attractor. First, some terminology! An Attractor is a dynamic system with a set of numeric values to which the system tends to evolve over time, no matter what state it starts in. An attractor is called a Strange Attractor if it contains a fractal element. The Sierpinski Triangle we came up with last week is an example of a strange attractor. It doesn’t matter what your starting point is (it could be miles away from the triangle), you will eventually get pretty much the same result for any given triangle. The de Jong attractor is another example of a strange attractor.
The Artist's Husband: The Chaos Game
· generative art the artists husband clojure quil chaos sierpinski triangle fractal ifs iterative function system 
Today, we’ll play The Chaos Game! It’s easy to play, and it goes like this: First, put three points on your paper. These will be the vertices of a triangle (so don’t put them in a straight line!) Any triangle will work, but be sure to leave lots of area inside where the triangle will be to make it easier to see what it going on. Next, you need a way to randomly choose one of those vertices over and over. You can roll a die, and if you get a 1 or a 2, that could reference the first vertex, a 3 or a 4 could reference the second vertex, and a 5 or a 6 could reference that last vertex. If you are a Dungeons and Dragons player and happen to have a 3-sided die, feel free to use that!