Catalan Minimal Surface

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

# Catalan surface parametrization
u = np.linspace(-np.pi, np.pi, 100)
v = np.linspace(-2, 2, 100)
u, v = np.meshgrid(u, v)

x = u - np.sinh(v) * np.sin(u)
y = 1 - np.cosh(v) * np.cos(u)
z = 4 * np.sin(u/2) * np.sinh(v/2)

# Custom colormap
colors = ['#0a0a0f', '#3b0764', '#4927F5', '#F527B0', '#f9a8d4']
cmap = LinearSegmentedColormap.from_list('purple_magenta', colors, N=256)

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, alpha=0.9, linewidth=0.1, edgecolor='#ffffff12')

ax.set_xlabel('X', fontsize=10, color='#94a3b8', labelpad=10)
ax.set_ylabel('Y', fontsize=10, color='#94a3b8', labelpad=10)
ax.set_zlabel('Z', fontsize=10, color='#94a3b8', labelpad=10)
ax.set_title("Catalan Minimal Surface", fontsize=14, color='white', 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=20, azim=60)
plt.tight_layout()
plt.show()