example from claude for log polar plot...

matplotlib_polar_log.py

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.colors import LogNorm  # Add this import

# Generate some sample data
np.random.seed(42)
angles = np.random.uniform(0, 2*np.pi, 1000)
radii = np.random.normal(5, 1, 1000)

# Create a polar subplot
fig, ax = plt.subplots(subplot_kw=dict(projection='polar'))

# Create histogram bins
nbins = 36
angle_bins = np.linspace(0, 2*np.pi, nbins+1)
radius_bins = np.linspace(0, 10, 10)

# Create the 2D histogram
hist, _, _ = np.histogram2d(angles, radii, bins=(angle_bins, radius_bins))

# Plot the histogram using pcolormesh
pcm = ax.pcolormesh(angle_bins, radius_bins, hist.T, norm=LogNorm())  # Use LogNorm() directly

# Customize the plot
ax.set_theta_zero_location('N')
ax.set_theta_direction(-1)
ax.set_rlabel_position(0)
ax.set_ylim(0, 10)

# Add a colorbar
plt.colorbar(pcm, label='Count (log scale)')

plt.title('Polar Plot with Logarithmic Histogram')
plt.show()