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 
I still think it’s weird that math can be so pretty 🙂 I like the leaf.
So… have you done the equation that makes the Batman symbol? (jk – not really) 😉
I was introduced to Fractals in the book “The Shack”. Fascinating!
Interesting, I’ve not read that one. Who’s the author?
My favorite is the second to last one. It looks like ice crystals on a glass pane.
They all came out pretty neat, it was really fun to play around. Thanks Luke 🙂