On Mon, Nov 17, 2008 at 1:40 PM, Dan Bron <[EMAIL PROTECTED]> wrote: > To get a feel for the obstacles I'm encountering, and what might make it > hard to give voice to a fractal, try writing the Dragon Curve in J: ... > However, do so only by looking at the plot: > > http://upload.wikimedia.org/wikipedia/commons/thumb/6/69/Fractal_dragon_curve.jpg/263px-Fractal_dragon_curve.jpg > > That is: do not read the algorithmic description of the curve in Wikipedia, > and don't make reference to the programs listed on the Dragon Curve > rosettacode task.
Well.. I'm not much on deliberate ignorance -- I quite often will search for additional information when trying to solve problems. However, in this case, I have avoided looking at the full information about this fractal. That said, I am uncertain from looking at the plot what is considered to be the fractal. Does it require the colors, or are they just a hint? Is the fractal really solid? Or is that also just a hint? Perhaps it's the vertices? Or does their sequence also matter -- implying some kind of linear form? Each of the geometric aspects obviously has some relation to the other geometric aspects and to the topological aspects, but I would need to understand the form of the problem before I could even begin to think about representing the problem in that form. > If you can describe the Dragon Curve mechanicistically in English, the > method of description and the tools you employ might help me do the same > for my own fractal. Looking at it from a very abstract sense, it seems to have a large scale structure of threes. This probably implies a before/during/after structure. But, to take that any further, I need to understand which direction I should be taking it. Also, Cliff Reiter has far, far more experience with fractals than I. He can probably give considerably more concrete advice than I could (and is less likely to get caught up in fundamental issues than I). -- Raul ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
