by ralf • Monday February 9th, 2009
Posted in Desktop Gallery, Fractal Flames

From a new set of renderings exploring some simple geometrical concepts (note the new URL – my web pages have moved).


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Rendered in Oxidizer


  1. Scott Chitwood
         February 9, 2009

    Wrapping the sphere, eh? Are you working on a top secret 3D Lua? :^)

  2. Don Larson
         February 9, 2009

    Very nice!

  3. ralf
         February 9, 2009

    No secrets at all Scott :-) I wish I knew how those Apo 3D-hacks work…that would be something to try.

    This new set, including Solaris, involves more manual design and less scripting, as I was trying to figure out how to do fractal designs in a slightly more deliberated way. I’m currently playing with the following three-step process:

    1) Create a set of linear transforms establishing the basic self-similarity geometry (same principle as the Pythagorean trees)
    2) Add a stationary “seed” transform generating a pattern within the geometry
    3) Add a final-xform: the resulting pattern from 1 and 2 will be “wrapped” onto this transform, creating the global shape of the fractal.

    In the Solaris example above, the final-xform contained only the “bubble” variation, which is why it looks like a sphere. Other renderings from the same set used “perspective” (the tilted planes) or “julia” as final xform.

    I found it incredibly instructive to use a simple rectangular grid pattern together with the final xform, in order to get a direct visual representation (like an isometric wireframe drawing) of what the different variations in the final xform does. I can upload some example genomes to my public folder in a bit if you guys want to play with it.

  4. Scott Chitwood
         February 9, 2009

    I saw your other solaris variants — and your notes definitely shed some of the mystery. I’m sure some of the other kids in the group would get a kick out of messing with your genomes.

    And, responding something you said in another thread; this a good time to start thinking about collaborating on a new users tutorial. Maybe we can get Dave to join in and thereby get a three-pronged approach that draws on the his perspective + your mathematical whiz-bang ideas + my visual-artistic approach that just barely dabbles in the more advanced areas.

    Heck, I’m guessing some of our other friends might have an idea or two to contribute as well. Maybe we can take Dave’s wiki idea (can’t find the link) to see if that’s a feasible alternate.

  5. ralf
         February 9, 2009

    I put a collection of simple grids and mappings in my Oxidizerpublic folder (under genomes), called “xgrid.flam3.”

    I like the wiki idea, so long as someone with a little knowledge sets it up, and we are able to maintain some modicum of organization. I would be happy to contribute to a starter set of material/guides to get it up and running :-)

  6. Scott Chitwood
         February 10, 2009

    I’ll chat with Dave regarding the wiki and we’ll roll it from there.

  7. Bo-Dion
         February 10, 2009

    Dear Ralf: I thank you for being there!! Scott – and you too!

  8. ralf
         February 10, 2009

    Hey Bo-Dion – if you had a look at the xgrid flames that I uploaded, there’s a wealth of patterns hidden within the one galled grid 3…I’m still playing around with that one. Try tweaking the ngon parameters of the fifth xform… :-)

  9. Bo-Dion
         February 10, 2009


  10. paulk
         February 12, 2009

    I’m a bit late to the party on this, but very cool stuff, Ralf! And thanks for the xgrid file – looks like it will be fun to play with.

    Ah, the wonderful final x-form. :-)


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