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Serie11_Aufg3_Gerüst.py

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+# -*- coding: utf-8 -*-
+"""
+Created on Sun Nov 29 14:43:17 2020
+
+Höhere Mathematik 1, Serie 11, Aufgabe 3 (Gerüst)
+
+@author: knaa
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+detail = 1000                       #number of pixels in x and y direction
+maxit = 70                          #maximum n for iterations
+x_min = """???"""                   #minimim value of x-interval
+x_max = """???"""                   #maximum value of x-interval
+y_min = """???"""                   #minimim vale of y-interval
+y_max ="""???"""                    #minimim vale of y-interval
+
+a = np.linspace("""???""",detail,dtype=np.float64)  #define real axis [x_min,x_max]
+b = np.linspace("""???""",detail,dtype=np.float64)  #define imaginary axis [y_min,y_max]
+
+B = np.zeros((detail,detail))        #for color valzues n 
+
+[x,y] = np.meshgrid("""???""")       #to create the complex plane with the axes defined by a and b
+C = x+y*1j                           #creating the plane
+Z = np.zeros("""???""", np.complex64)  #initial conditions (first iteration), Z has same dimension as C
+for n in np.arange(1,maxit+1):       #start iteration
+  Z = """???"""                      #calculating Z
+  expl = np.where("""???""")         #finding exploded values (i.e. with an absolute value > 2)
+  Z[expl] = 0                        #removing from iteration
+  C[expl] = 0                        #removing from plane
+  B[expl] = """???"""                #saving color value n
+
+plt.figure(1)
+B = B/np.max(np.max(B))           #deviding by max value for correct color
+plt.imshow(B,extent=[x_min,x_max,y_min,y_max],origin='lower',interpolation='bilinear')   #display image
+
+