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Hello,

I'm a great fractal fan for many years, and I have found this one a few years ago.



Do anyone has ever seen the same before ? It is actually very simple, and there are several ways to generate it, but I did not look deep enough on the internet to find more about if, if it has a name, etc...

Thanks for your feedback  

Regards

bib

Thanks a lot for the links, David.

The description of its construction that is given in the first link is something I found afterwards. I had another method to trace it manually, based on the standard tree where each branch divides into 2 braches at 90 degrees, reading the direction of each branch in turn (left, right, up, down), and tracing it on the paper without removing the pen. so I guess there must be some simple transformation from the tree to the Levy dragon.

Question : do you know how to do it in ultrafactal ?

Should have given you this link instead of the other:

http://www.meden.demon.co.uk/Fractals/dimer2D.html

I saw this fractal for the first time in 1987, in a Dutch book:
Hans Lauwerier - Fractals
Amsterdam (edition Aramith), 1987
The Levy fractal is on p. 45
The late Prof. Dr. H. Lauwerier was a pioneer in popularizing fractals in the Netherlands.  Some of his books have been translated in other languages, including English.

Ed Algra

I have made similar things with two of my tools (using very different algorithms).

Give my free tool Fractal Paths a shot and I bet you can make it again: http://www.spincraftsoftware.com/FractalPathsImages.html

Just draw a right angle, and thats what you get.

lovely stuff, similar to a Koch curve isnt it? nice job on the conversion!!

My first post on this forum was a year ago (-1 day). So much has been done in the meantime, from this video above to the latest Mandelbulb zooms...

Some personal stats:

* 249 posts
* A new PC (the old Win98 PIII told me he could not cope with 3D fractals )
* Countless hours tweaking parameters in Ultrafractal
* Countless hours waiting for some more pixels to appear on the screen
* 78 images uploaded on fractalforums, including 2 banners: http://www.fractalforums.com/gallery/?sa=myimages;u=492
* 135 videos uploaded on Youtube: http://www.youtube.com/user/bib993
* More that 30000 views on the Mandelbulb animations on Youtube
* An angry wife

Thanks to all the folks on this forum, especially to bugman and twinbee for the discovery of the year, with a special BIG BIG thank to Dave Makin for his help, patience, and creativity. He was there on the beginning to answer my first question about the Lévy dragon, and he still there to sort out my problems with his Mandelbulb formula in UF

Long life to our fractal community!!