This above Fractal code investigates the effect of a small change in the Affine transform of a fractal generating function, namely the Mandelbrot set generated using the existing trigonometric sinusoidal operations.
This involves a basic logic of an exponential surface that modifies the vector along the XY plane while the modifying function modifies the surface to yield a 3D like surface as can be expected from the logic and the sequence of operations of the program. The effect of a logarithmic function is to yield a surface from the original 3D image (see 3D mandelbrot set). Various surfaces can be generated using the same logic.