3D Surface

Steiner Roman Surface

Steiner's Roman surface - a self-intersecting mapping of the real projective plane in lime-cyan gradient.

Output
Steiner Roman Surface
Python
import matplotlib.pyplot as plt
import numpy as np
from matplotlib.colors import LinearSegmentedColormap

# Roman surface parametrization
u = np.linspace(0, np.pi, 80)
v = np.linspace(0, np.pi, 80)
u, v = np.meshgrid(u, v)

x = np.sin(2*u) * np.cos(v)**2
y = np.sin(u) * np.sin(2*v)
z = np.cos(u) * np.sin(2*v)

# Custom colormap
colors = ['#0a0a0f', '#052e16', '#6CF527', '#27D3F5', '#a5f3fc']
cmap = LinearSegmentedColormap.from_list('lime_cyan', 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='#ffffff18')

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("Steiner Roman 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()
Library

Matplotlib

Category

3D Charts

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