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I have a feeling I'm going to be smacking my forehead on this one, but I'm trying to fill the common interior of two polar functions r = 4 sin(2θ) and r = 2. It seems I'm getting the opposite of what I want. Any ideas?
import numpy as np
import matplotlib.pyplot as plt
theta = np.arange(0, 2, 1./180)*np.pi
r = abs(4*np.sin(2*theta))
r2 = 2 + 0*theta
plt.polar(theta, r, lw=3)
plt.polar(theta, r2, lw=3)
plt.fill_between(theta, r, r2, alpha=0.2)
plt.show()
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You can easily fill in the area between values in a Matplotlib plot by using following functions: fill_between(): Fill the area between two horizontal curves.
fill_between() is used to fill area between two horizontal curves. Two points (x, y1) and (x, y2) define the curves. this creates one or more polygons describing the filled areas. The 'where' parameter can be used to selectively fill some areas.
With the use of the fill_between() function in the Matplotlib library in Python, we can easily fill the color between any multiple lines or any two horizontal curves on a 2D plane.
Perhaps compute the mininum of r and r2, and then fill between 0 and that minimum:
import numpy as np
import matplotlib.pyplot as plt
theta = np.arange(0, 2, 1./180)*np.pi
r = abs(4*np.sin(2*theta))
r2 = 2 + 0*theta
r3 = np.minimum(r, r2)
plt.polar(theta, r, lw=3)
plt.polar(theta, r2, lw=3)
plt.fill_between(theta, 0, r3, alpha=0.2)
plt.show()
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