Seashell Spiral Surface

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

# Seashell parameters
u = np.linspace(0, 6*np.pi, 200)
v = np.linspace(0, 2*np.pi, 50)
u, v = np.meshgrid(u, v)

a = 0.2
b = 1.0
c = 0.1
n = 2

r = a * np.exp(b * u / (2*np.pi))
x = r * np.cos(u) * (1 + np.cos(v))
y = r * np.sin(u) * (1 + np.cos(v))
z = r * np.sin(v) - c * u

# Custom colormap
colors = ['#0a0a0f', '#451a03', '#F5B027', '#F54927', '#fcd34d']
cmap = LinearSegmentedColormap.from_list('amber_orange', 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='#ffffff15')

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("Seashell Spiral 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=30, azim=135)
plt.tight_layout()
plt.show()