Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration

Algorithm 1

Geometry of Julia set.

Input:, where and ; area; maximum number of iterations; Parameters of the generalized Fibonacci-Mann iteration; -color map with colors.

Output: Julia set for area A.

1: fordo

2:   

3:   

4:   

5:   

6:   whiledo

7:     

8:     

9:     

10:     

11:     ifthen

12:       break

13:     end if

14:     

15:   end while

16:   

17:   color with

18: end for