PR summary

This pull request addresses issue#30164 by refining the PolarAxes projection to fix autoscaling issues with radial ticks and improve aspect ratio handling and tick label visibility in polar plots. The update adds improved handling of axis aspect and radial tick formatting for more consistent and customizable polar plots.

A dedicated test script,test_polaraxes.py, has been added to verify the correctness and stability of these changes.

Below is an example image showcasing the improvements in polar plot appearance after applying this patch:

PR checklist

• "closes[Bug]: Removing spines in polar plot causes distortion of the plot #30164" is in the body of the PR description to link the related issue
• new and changed code istested withtest_polaraxes.py
• Plotting related features are demonstrated in anexample
• New Features andAPI Changes are noted with adirective and release note
• Documentation complies withgeneral anddocstring guidelines

Release notes

• Added safeguard in get_matrix to prevent division by near-zero y-scale, avoiding potential rendering issues.
• Overrode set_rticks in PolarAxes to correctly handle empty ticks and maintain the radius origin in view.
• Fixed an autoscaling issue in polar plots in set_rticks function where the radial axis limits could shift the origin r=0 out of view after clearing or resetting ticks.
• Added logic to clamp the radius axis minimum (or maximum if inverted) to the user intended origin, defaulting to zero if not explicitly set.
• Prevents autoscaling from excluding the radial origin, ensuring correct rendering of polar axes.