c-Multiplication
z = f(z,c) is the generation function for fractal sequences.The c-Multiplication is a function f(z,c) = c*f(z)
The c-Multiplication extension 1 is f(z,c) = c*f(z) + c
The c-Multiplication extension 2 is f(z,c) = c*f(z) + constant
The c-Multiplication extension 3 is f(z,c) = g(c)*f(z), a c-Transformation on c
This c-Multiplication results in a generation function: z = g(c)*f(z) + c + constant
My goal is: if f(z,c) is the generation function of a perfect fractal set, then the c-Multiplication should be a perfect fractal set.
Perfect fractal set: a fractal set with an infinite number of small apple manikins.