Python 3 code
###########################################################
# Newton's method valley landscape generation as a whole
# (Matplotlib Contour plot)
###########################################################

from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import matplotlib.figure as fg
from matplotlib import cm
import numpy as np

fig = plt.figure()
ax =  fig.add_subplot(111, projection='3d')
ax.view_init(azim=45,elev=45)  # set view orientation
ax.dist = 4.0  # set viewpoint distance
ax.set_facecolor([0.0,0.0,0.0])  # set background color

n = 8
L = 1.0
dx = 0.0
dy = 0.0

M = 200

def f(Z):
    return np.e**(-np.abs(Z))

x = np.linspace(-L+dx,L+dx,M)
y = np.linspace(-L+dy,L+dy,M)
X,Y = np.meshgrid(x,y)

Z = X + 1j*Y

for k in range(1,n+1):
	ZZ = Z - (Z**4 + 1)/(4*Z**3)
	Z = ZZ
	W =  f(Z)

# Plot the surface.
ax.set_xlim(dx-L,dx+L)
ax.set_zlim(dy-L,dy+L)
ax.set_zlim(-1.8*L,2*L)
ax.axis("off")

ax.contourf3D(X, Y, W, 2*n, cmap="prism")

plt.show()