Fractal interpolations

This is a video I made for the course "Fractals" while I was an Erasmus student at University of Turku (Finland).

The interpolation is made from Koch curve to Barnsley's fern, from Barnsley's fern to Heighway's dragon and finally from Heighway's dragon to Koch curve.

Frames were rendered with a Java software I wrote (FractalJ); The Gimp and MEncoder made the rest. FractalJ is available for download from http://binaryunit.blogspot.com/ (section "Software"); from the same website, you can download a high resolution version of this video.

If you're interested in my Erasmus experience, this is my Erasmus blog (in italian):
http://menoventitre.blogspot.com

Category:

Film & Animation

Tags:

• Fractals
• Barnsley
• fern
• Koch
• curve
• Heighway
• dragon
• interpolation
• mathematics
• Turku
• Erasmus

[ryan50ryan]

I would love to see the source code involved, but the link on your blog is broken. Could I requisition for you to send me the code or to repost it for download?

[jfrusciantetube]

@ryan50ryan: I'm sorry, Galileo server seems to be temporarily offline. It should be online in a few (days?)

[MathDemos]

in what way do any of the fractal diminesons change, like discrtily or contiusly for the hausdoff dimenison?

[jfrusciantetube]

Fractal dimension changes continuously here, because the number of transformations is constant while their scale factor and position change continuously over the time. It would be interesting to see the dimension value changing in the video, but actually I don't have time to retake the code.

Hausdorff dimension changes continuously too, and I guess there's a formal demonstration for it :)

[sedekelen]

dasyat

[77Fortran]

really nice!

[ZebraErlbeck]

very nice... well done!

[smashingparadox]

omg awesome. This is the first time I've ever heard of fractal interpolations. I didn't even know you could do that. I wonder if there's any m-set interpolations. ::off to do more research::