50000 Rectangles #24

200000 rectangles.

(Continued from 50000 Rectangles #23.) I do not spend a lot of time selecting the functions for the IFS system. I just grab a random set and see how it works. If I do not like it, I try something else.

Some of these IFS function sets work well alone. Some sets are too random or too simple to stand alone. I select a few different IFS sets and superimpose them. Now, the image has an interesting conflict between the too simple and too complex. A typical 50000 rectangle image may have 5000 iterations of each of ten different sets, or five sets of 10000.

There are some loose guidelines I follow when merging different IFS function sets. In general, more functions in an IFS set means more randomness, more messiness. Larger coefficients also generally means more mixing, and more mess. So, depending on the effect I am trying to achieve at the time, I keep these variables within narrow limits.

Today's Special
In today's picture, there is only one function in each IFS function set. With only one function there is no randomness in the function selection. It is just iteration of a single function. The function is constrained (so that is does not escape to infinity), but not contracting (so it does not collapse to a single point). Five different single-function iterations are overlaid.