Python 3 code
#################################
# Whole 3D surface generation
# by Cartesian equation
# (matplotlib module)
#################################

from mpl_toolkits.mplot3d import Axes3D    # import matplotlib module
import matplotlib.pyplot as plt    # import matplotlib pylot module
from matplotlib import cm     # import matplotlib colormap module
import numpy as np   # import numpy module

plt.style.use('dark_background')  # set black background color

R = 4.0   # set radius value
X = np.arange(-2*np.pi, 2*np.pi, 0.1)   # set x co-ordinate array values
Y = np.arange(-2*np.pi, 2*np.pi, 0.1)   # set y co-ordinate array values
X, Y = np.meshgrid(X, Y)   # set xy grid
Z = np.e**(-.05*(X**2+Y**2))*np.cos(np.sqrt(X**2 + Y**2))   # set z function of x,y

fig = plt.figure()    # define 3D plot and axes
ax = fig.gca(projection='3d')

ax.plot_surface(X, Y, Z, cmap='hot', linewidth=0)   # plot surface as a whole

ax.set_zlim(-.3, 1.0)     # set z axis limits
ax.axis("off")   # do not plot co-ordinate axes

plt.show()    # show surface a a whole