I'm guessing this is currently impossible with the current mplot3d
functionality, but I was wondering if there was any way I could generate a
3d graph with r, phi, z coordinates rather than x, y, z?
The point is that I want to make a figure that looks like the following:
http://upload.wikimedia.org/wikipedia/commons/7/7b/Mexican_hat_potential_polar.svg
Using the x, y, z system, I end up with something that has long tails like
this:
http://upload.wikimedia.org/wikipedia/commons/4/44/Mecanismo_de_Higgs_PH.png
If I try to artificially cut off the data beyond some radius, I end up with
jagged edges that are not at all visually appealing.
I would appreciate any crazy ideas you can come up with.
Thanks,
Jeff
P.S. Code to produce the ugly jaggedness is included below:
···
-------------------------------------------------------
from mpl_toolkits.mplot3d import Axes3D
import matplotlib
import numpy as np
from matplotlib import cm
from matplotlib import pyplot as plt
step = 0.04
maxval = 1.0
fig = plt.figure()
ax = Axes3D(fig)
X = np.arange(-maxval, maxval, step)
Y = np.arange(-maxval, maxval, step)
X, Y = np.meshgrid(X, Y)
R = np.sqrt(X**2 + Y**2)
Z = ((R**2 - 1)**2) * (R < 1.25)
ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.jet)
ax.set_zlim3d(0, 1)
#plt.setp(ax.get_xticklabels(), visible=False)
ax.set_xlabel(r'$\phi_\mathrm{real}$')
ax.set_ylabel(r'$\phi_\mathrm{im}$')
ax.set_zlabel(r'$V(\phi)$')
ax.set_xticks([])
plt.show()
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