Time for action – drawing Lissajous curves

The Lissajous figures are determined by four parameters: A, B, a, and b. Let's set A and B to 1 for simplicity:

  1. Initialize t with the linspace() function from -pi to pi with 201 points:
    a = 9
b = 8
t = np.linspace(-np.pi, np.pi, 201)
  2. Calculate x with the sin() function and np.pi:
    x = np.sin(a * t + np.pi/2)
  3. Calculate y with the sin() function:
    y = np.sin(b * t)
  4. Plot as shown in the following:
    plt.plot(x, y)
plt.title('Lissajous curves')
plt.grid()
plt.show()

    The result for a = 9 and b = 8 is as follows:

    Time for action – drawing Lissajous curves

What just happened?

We plotted the Lissajous curve with the aforementioned parametric equations where A=B=1, a=9, and b=8. We used the sin() and linspace() functions, as well as the NumPy pi constant (see lissajous.py):

import numpy as np
import matplotlib.pyplot as plt


a = 9
b = 8
t = np.linspace(-np.pi, np.pi, 201)
x = np.sin(a * t + np.pi/2)
y = np.sin(b * t)
plt.plot(x, y)
plt.title('Lissajous curves')
plt.grid()
plt.show()
..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.
Reset