Further Experiments with Fractals

Warning! Some information on this page is older than 6 years now. I keep it for reference, but it probably doesn't reflect my current knowledge and beliefs.

Sun
13
Dec 2009

Today I woke up with an idea of inventing my own simple IFS fractal with four pieces sheared or rotated to form a hole in the center. I must admin that effects are not impressive :) What I've learned is that it's difficult to imagine how overall fractal will generally look like when you design affine transforms for a single step that will be processed recursively. But anyway I'll show my results, with single step on the left and final render on the right:

Shear transform which unexpectedly formed round shapes:

Rotation transform with boundaries exceeding -1..1 range:

Rotation transform bound in range (-1..1, -1..1):

Comments | #math #rendering #fractals Share

Comments

[Download] [Dropbox] [pub] [Mirror] [Privacy policy]
Copyright © 2004-2024