From: JimMuth@aol.com Reply-To: fractint@lists.xmission.com To: fractint@lists.xmission.com Subject: Re: (fractint) MandelbrotBC is not the end... Date: Fri, 14 Dec 2001 10:31:54 EST
I'll not quibble with infinity. Infinity is infinite. It would take eternity to explore even the lowest infinity, and even then, one would be just starting. Also, even though the branches may be infinitely infinite, there is a certain sameness to even the branches that the MandelbrotBC1 formula *does* reach, that leads me to feel that more of the same sameness is to be found in the un-reachable branches. The non-integer fractals might be infinitely infinite, but are they infinitely varied?
Jim M.
Point taken. You are quite right of course. I just have an unending curiosity about these things; I want to see everything 8-) But, alas, this is impossible. While the human mind can barely comprehend a 4D object, trying to comprehend a corkscrew of an infinite number of dimensions is totally impossible. The reason why I originally created the BC formulas was because I looked at the shattered figures of the noninteger exponent fractals and wanted to "un-shatter" them. I see a spiralling arm cut off by a discontinuaty, and I wonder what "the rest of it" looks like. Well, now I can see! (Almost...) I'm thinking of using POVRay to try to render "the whole" corkscrew in 3D. I figure if I use FractInt to draw enough 2D slices, I could picture-map them onto a corckscrew shape in POVRay. If I ever pull this off, I will let you folks know! Thanks. Andrew. "Unshattering a fractal is like unscrambling and egg - so improbably as to be effectively impossible for all practical purposes." _________________________________________________________________ Chat with friends online, try MSN Messenger: http://messenger.msn.com