The Lissajous figures are determined by four parameters: A
, B
, a
, and b
. Let's set A
and B
to 1
for simplicity:
t
with the linspace()
function from -pi
to pi
with 201
points:a = 9 b = 8 t = np.linspace(-np.pi, np.pi, 201)
x
with the sin()
function and np.pi
:x = np.sin(a * t + np.pi/2)
y
with the sin()
function:y = np.sin(b * t)
plt.plot(x, y) plt.title('Lissajous curves') plt.grid() plt.show()
The result for a
=
9
and b
=
8
is as follows:
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()