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"""
Demonstration of a mesh constructed in a grid about x,y,z coordinates.
"""
import sys
from vispy import scene
from vispy.color import get_colormap
import numpy as np
from scipy.special import sph_harm
canvas = scene.SceneCanvas(keys='interactive')
view = canvas.central_widget.add_view()
thetas, phis = np.meshgrid(np.linspace(0, np.pi, 100),
np.linspace(0, 2*np.pi, 150))
shape = thetas.shape
linear_shape = thetas.shape[0] * thetas.shape[1]
cm = get_colormap('hot')
for harm_degree in range(3):
for harm_order in range(harm_degree + 1):
harmonic_values = sph_harm(harm_order, harm_degree, phis, thetas).real
rs = 1. + 0.4*harmonic_values
xs = rs * np.sin(thetas) * np.cos(phis)
ys = rs * np.sin(thetas) * np.sin(phis)
zs = rs * np.cos(thetas)
xs -= 4.5
zs -= 4.5
xs += 2.5 * harm_degree
zs += 2.5 * harm_order
v_min = np.min(harmonic_values)
v_max = np.max(harmonic_values)
scale = 1. / np.max(np.abs([v_min, v_max]))
harmonic_values *= 0.5*scale
harmonic_values += 0.5
colors = cm[harmonic_values.reshape(linear_shape)].rgba.reshape(
(shape[0], shape[1], 4))
mesh = scene.visuals.GridMesh(xs, ys, zs, colors=colors)
view.add(mesh)
view.camera = 'turntable'
canvas.show()
if __name__ == '__main__':
if sys.flags.interactive != 1:
canvas.app.run()
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