3D Trisurf
Cross-in-Tray Function Trisurf
Cross-in-tray optimization function with unique cross-shaped minimum in yellow-amber gradient.
Output
Python
import matplotlib.pyplot as plt
import numpy as np
from matplotlib.colors import LinearSegmentedColormap
# Scattered sampling
np.random.seed(77)
n_points = 600
x = np.random.uniform(-10, 10, n_points)
y = np.random.uniform(-10, 10, n_points)
# Cross-in-tray function
term = np.abs(np.sin(x) * np.sin(y) * np.exp(np.abs(100 - np.sqrt(x**2 + y**2)/np.pi)))
z = -0.0001 * (term + 1)**0.1
# Custom colormap
colors = ['#ffffff', '#fef9c3', '#D3F527', '#F5B027', '#fcd34d']
cmap = LinearSegmentedColormap.from_list('yellow_amber', colors, N=256)
fig = plt.figure(figsize=(10, 8), facecolor='#ffffff')
ax = fig.add_subplot(111, projection='3d', facecolor='#ffffff')
surf = ax.plot_trisurf(x, y, z, cmap=cmap, alpha=0.85, linewidth=0.1, edgecolor='#33333308')
ax.set_xlabel('X', fontsize=10, color='#374151', labelpad=10)
ax.set_ylabel('Y', fontsize=10, color='#374151', labelpad=10)
ax.set_zlabel('f(x,y)', fontsize=10, color='#374151', labelpad=10)
ax.set_title("Cross-in-Tray Function Trisurf", fontsize=14, color='#1f2937', fontweight='bold', pad=20)
ax.tick_params(colors='#6b7280', labelsize=8)
ax.xaxis.pane.fill = False
ax.yaxis.pane.fill = False
ax.zaxis.pane.fill = False
ax.xaxis.pane.set_edgecolor('#e5e7eb')
ax.yaxis.pane.set_edgecolor('#e5e7eb')
ax.zaxis.pane.set_edgecolor('#e5e7eb')
ax.view_init(elev=30, azim=45)
plt.tight_layout()
plt.show()
Library
Matplotlib
Category
3D Charts
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