Trefoil Knot - Mathematical Curve

import matplotlib.pyplot as plt
import numpy as np

# Trefoil knot - a famous mathematical curve
n = 500
t = np.linspace(0, 2 * np.pi, n)

# Trefoil knot parametric equations
x = np.sin(t) + 2 * np.sin(2 * t)
y = np.cos(t) - 2 * np.cos(2 * t)
z = -np.sin(3 * t)

fig = plt.figure(figsize=(10, 8), facecolor='#0a0a0f')
ax = fig.add_subplot(111, projection='3d', facecolor='#0a0a0f')

# Create color array based on position
colors_val = np.linspace(0, 1, n)

# Draw segments with rainbow-like neon colors
neon_colors = ['#F5276C', '#F54927', '#F5B027', '#6CF527', '#27F5B0', '#27D3F5', '#276CF5', '#4927F5']
for i in range(n-1):
    color_idx = int(colors_val[i] * (len(neon_colors) - 1))
    ax.plot(x[i:i+2], y[i:i+2], z[i:i+2], 
            color=neon_colors[color_idx], linewidth=2.5)

# Glow effect
ax.plot(x, y, z, color='#ec4899', linewidth=6, alpha=0.15)

ax.set_xlim(-4, 4)
ax.set_ylim(-4, 4)
ax.set_zlim(-2, 2)

ax.set_xlabel('X', color='white', fontsize=10)
ax.set_ylabel('Y', color='white', fontsize=10)
ax.set_zlabel('Z', color='white', fontsize=10)
ax.set_title('Trefoil Knot - Mathematical Curve', color='white', fontsize=14, fontweight='bold', pad=20)

ax.tick_params(colors='#64748b', labelsize=8)
ax.xaxis.pane.fill = False
ax.yaxis.pane.fill = False
ax.zaxis.pane.fill = False
ax.xaxis.pane.set_edgecolor('#1e293b')
ax.yaxis.pane.set_edgecolor('#1e293b')
ax.zaxis.pane.set_edgecolor('#1e293b')
ax.grid(True, alpha=0.2, color='#334155')

ax.view_init(elev=30, azim=60)
plt.tight_layout()
plt.show()