Been playing around with some of the equations from Michael Barnsley’s “Fractal Image Compression“, particularly the one for this leaf:
Barnsley is a little more famous for the Chaos Game and his Fern, but this book contained a number of different transformations to try out. The leaf is nice, because this one only requires two simple equations, so I was a little surprised when I plugged the numbers in and got this:
Certainly an interesting image, but not a leaf! As it turns out the book had a misprint on one of its parameters, which as you can see had a dramatic effect. But mistakes can be just as interesting as the goal image. Here are a couple of my attempts to correct the image before I calculated the correct one at the beginning of the post:
I particularly like how close I got to the dragon curve with just the change of one parameter. Just goes to show there can be a lot of variation just by changing a few numbers (or changing one negative to a positive to get the correct image).
Which is your favorite, a mistake or the “correct” image?
Have a great Friday!
[BTW] : Ben Trube, Writer 