In article <546ce4c30709100035s12c3ff5fte88c585430e5c598@mail.gmail.com>, "Tony Hanmer" <a.hanmer@gmail.com> writes:
I've discovered a programme which seems to be the LS equivalent of Apophysis in 2d or XenoDream in 3d: Context Free Art http://www.contextfreeart.org/ I describe it thus because it allows LS programming plus a lot more non-LS work, and because its language is at least related to LS. Are you aware of it?
No, I wasn't aware of it -- there's lots of fractal programs out there now. I'll check it out.
As far as IFS goes... one difference between Apohysis IFS and that of Fractint is a great feature of the latter about which I have not found any literature, so I might as well claim credit for discovering it unless someone else can correct me. This is that if you start off with a shape like a square filled *solid* with holons, and then simply alter the numbers in the 7th column - those which deal with probability - you end up with fantastic fractal textures instead of the solid fill. (These probability numbers should still sum to 1.) I have done a huge number of explorations of squares in this manner, some with triangles, and also discovered new textures for the Dragon Curve and TwinDragon. I was waiting for the new Fractint version to reveal this, but now seems a better time to point it out, in the context of a plea not to do away with such a possibility. (It doesn't seem to work in Apophysis, or at least works differently; I haven't tried it in XenoDream yet.)
I don't see anything that would preclude this from continuing to work, although I'm not sure what you mean by a "holon", although from the context I infer that you've created an IFS that exactly fills a square in R^2.
I don't understand all of the details of your letter below about IFS, but am eagerly awaiting a demonstration of what it all means.
I can explain any particular part that is unfamiliar if you want to dig into the details. Right now fractint only supports one class of IFS. You give a matrix that defines a contracting transformation and a probability for picking that transformation. Since the initial IFS was introduced into fractint, lots more types of IFS have been created. I would like to extend the IFS types in fractint to encompass these other types of systems. -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>