You can use this to make fractals the Iterated Function System way! Based on my fuzzy memories of reading about fractals 20 years ago.
You could make a Sierpinski Triangle with this, and lots of other stuff too.
Limitation: the functions always map the big rectangle to a smaller rectangle (which you drew). The smaller rectangle can’t be rotated, but it can be flipped sideways and/or upside down if you draw it from right to left or down to up.
If you can think of a good way to rotate the rectangles as you draw them, or otherwise make them manipulable — that’d be sweet! — add a version, I won’t password this one.
Speak now or forever hold your peace:
Version 1.2 modifies one image rather than adding a bunch of new images, which makes the thing consume MUCH less memory, and makes it realistic to just keep on drawing more fractals indefinitely.
It messes up the variable blurring we were doing before though, so blurring is now just a toggle and it has a progressive blurring effect on the image.
This is absolutely beautiful.
How did you know I was holding my piece?
Maybe someone could put a screenshot of the app back up in the picture…

Version 1.1 gives you some controls to play with, including a blurrificator that can make it really pretty.