Imaginary Scators Quadratic fractals in Dynamic Space

The scator quadratic iteration in dynamic space [Imaginary Scators Quadratic Mapping In 1+2D Dynamic Space, CNSNS, 2023] has been implemented in the Mandelbulber (version 2.20-dev or more recent) three dimensional fractal visualization program [https://github.com/buddhi1980/mandelbulber2]. Very intricate surfaces are obtained that are difficult to handle by ray tracing programs. The processing power required to generate 3D fractals is greatly increased compared with 2D renderings. It is necessary to extend the two dimensional image grid to three dimensional space. Thus, the iteration of a much larger set of points is required to begin with. Thereafter, computer ray tracing is necessary to establish the observer point of view, with the concomitant occlusion of interior points or points that lie behind a particular surface from the observer point of view. The capability of using parallel GPU processing using OpenCL has greatly enhanced the rendering velocity.
The .fract settings archives can be used to reproduce some of the fractal images published in [Imaginary Scators Quadratic Mapping In 1+2D Dynamic Space, CNSNS, 2023] .