绘制Lissajous曲线

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from mpl_toolkits import mplot3d
import numpy as np
import matplotlib.pyplot as plt
import matplotlib
matplotlib.rc('xtick', labelsize=8)
matplotlib.rc('ytick', labelsize=8)

def drawLissajous3D(r=2*np.pi, n=500, A=1, B=1, C=1, a=1, b=1, c=2, delta=1.75, epsilon=1.75):

# 设置 Lissajous 参数。
t = np.linspace(0, r, n)

x = A * np.sin(a*t)
y = B * np.sin(b*t + delta)
z = C * np.sin(c*t + epsilon)

plt.figure(figsize=(8,6))
ax = plt.axes(projection='3d')

ax.plot3D(x, y, z, '-', linewidth=6)
ax.set_xlabel('$x = A sin(at)$', fontsize=12)
ax.set_ylabel('$y = B sin(bt + \delta)$', fontsize=12)
ax.set_zlabel('$z = C sin(ct + \epsilon)$', fontsize=12)
plt.title("Lissajous 3D Curve", fontsize=12)
ax.view_init(2, 60)
plt.show()

drawLissajous3D()
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