Author: Jean-Philippe Javet

mandel1

mandel1

c=z_1

z_{11}

z_1 = (-0.27708333333333385, 0.5166666666666665)
B: (x(z_1)^(2) - y(z_1)^(2) + x(z_1), ((2 * x(z_1)) * y(z_1)) + y(z_1))
C: (x(B)^(2) - y(B)^(2) + x(z_1), ((2 * x(B)) * y(B)) + y(z_1))
D: (x(C)^(2) - y(C)^(2) + x(z_1), ((2 * x(C)) * y(C)) + y(z_1))
E: (x(D)^(2) - y(D)^(2) + x(z_1), ((2 * x(D)) * y(D)) + y(z_1))
a = Segment(z_1, B)
b = Segment(B, C)
c = Segment(C, D)
d = Segment(D, E)
F: (x(E)^(2) - y(E)^(2) + x(z_1), ((2 * x(E)) * y(E)) + y(z_1))
G: (x(F)^(2) - y(F)^(2) + x(z_1), ((2 * x(F)) * y(F)) + y(z_1))
H: (x(G)^(2) - y(G)^(2) + x(z_1), ((2 * x(G)) * y(G)) + y(z_1))
I: (x(H)^(2) - y(H)^(2) + x(z_1), ((2 * x(H)) * y(H)) + y(z_1))
J: (x(I)^(2) - y(I)^(2) + x(z_1), ((2 * x(I)) * y(I)) + y(z_1))
z_2: (x(J)^(2) - y(J)^(2) + x(z_1), ((2 * x(J)) * y(J)) + y(z_1))
e = Segment(E, F)
f = Segment(F, G)
g = Segment(G, H)
h = Segment(H, I)
i = Segment(I, J)
j = Segment(J, z_2)
T3: "z_1_1 = " + (x(z_2)) + " +  " + (y(z_2)) + " i"
T2: "z_2 = " + (x(B)) + " +  " + (y(B)) + " i"
T4: "z_3 = " + (x(C)) + " +  " + (y(C)) + " i"
T5: "z_4 = " + (x(D)) + " +  " + (y(D)) + " i"
T6: "z_5 = " + (x(E)) + " +  " + (y(E)) + " i"
T7: "z_6 = " + (x(F)) + " +  " + (y(F)) + " i"
T8: "z_7 = " + (x(G)) + " +  " + (y(G)) + " i"
T9: "z_8 = " + (x(H)) + " +  " + (y(H)) + " i"
T10: "z_9 = " + (x(I)) + " +  " + (y(I)) + " i"
T11: "z_{10} = " + (x(J)) + " +  " + (y(J)) + " i"
T12: "z_1 = " + (x(z_1)) + " +  " + (y(z_1)) + " i"
z_0 = Intersect(xAxis, yAxis)
k = false
texte1: "   \left\{ \begin{array}{l} \!z_n=z_n^2+c        \\ \!z_0=" + (LaTeX[x(z_0)]) + "+" + (LaTeX[y(z_0)]) + "i \end{array} \right.\\
  c=" + (LaTeX[x(z_1)]) + " + " + (LaTeX[y(z_1)]) + "i"