Hyperbolic Paraboloid (Saddle)

import matplotlib.pyplot as plt
import numpy as np
from matplotlib.colors import LinearSegmentedColormap

colors = ['#0a0a0f', '#2d1b4e', '#8b5cf6', '#f59e0b']
cmap = LinearSegmentedColormap.from_list('purple_gold', colors, N=256)

X = np.linspace(-2, 2, 80)
Y = np.linspace(-2, 2, 80)
X, Y = np.meshgrid(X, Y)
Z = X**2 - Y**2  # Saddle/hyperbolic paraboloid

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

surf = ax.plot_surface(X, Y, Z, cmap=cmap, linewidth=0, antialiased=True)

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('Hyperbolic Paraboloid (Saddle)', 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.view_init(elev=25, azim=45)
plt.tight_layout()
plt.show()