Title: Spiral Julia in 3D Post by: gamma on January 03, 2011, 06:21:56 PM Happy new year everyone! I wish you all conquer the remaining dimensions in the 21st century - spiritually and computationally!
As you all know, the Julia fractals based on z = z^2 + c possess plenty of spirals. For example, if Re(c), Im(c) are non-zero and c is close to the edge of Mandelbrot set, the screen will be seemingly covered with spirals. I wonder if we can accomplish the same in 3D and produce a 3D spiral? The shape of this object in the third dimension can be a cone or anything similar. The 3D Julia would be a spiral around the cone. This seems like an easy task in Xenodream, but the result is an IFS fractal. Title: Re: Spiral Julia in 3D Post by: gamma on January 10, 2011, 04:18:10 PM http://en.wikipedia.org/wiki/File:Juliasetsdkland1.jpg Do you think we could extrude this image with the inverse distance estimation, so that the center of each spiral would become a mountain top? Importantly, is it a true 3D Julia? I guess not... |