"""Generate the Q17 flux sketch; tested with Python 3.14, NumPy 2.3.5, and Matplotlib 3.10.7, using the repository's pyproject.toml dependencies. """ from pathlib import Path import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt import numpy as np def main(): z = np.linspace(-1, 1, 500) fig, axes = plt.subplots(1, 2, figsize=(9, 3.8), layout="constrained") curves = [2 + 3 * z - z**3, 3 * (1 - z**2)] labels = [r"$\Phi(z_0)/\pi$", r"$\Phi'(z_0)/\pi$"] endpoint_values = [(0, 4), (0, 0)] for ax, values, label, ends in zip(axes, curves, labels, endpoint_values): ax.plot(z, values, color="#176b9c", linewidth=2.3) ax.scatter([-1, 1], ends, s=40, facecolors="white", edgecolors="#176b9c", zorder=3) ax.axvline(0, color="0.7", linewidth=0.8) ax.axhline(0, color="0.7", linewidth=0.8) ax.set(xlabel=r"Truncation height $z_0$", ylabel=label, xlim=(-1.07, 1.07), ylim=(-0.16, 4.25)) ax.set_xticks([-1, 0, 1]) ax.set_yticks([0, 1, 2, 3, 4]) ax.grid(alpha=0.2) axes[0].set_title("Flux increases with enclosed volume") axes[1].set_title("Rate of change peaks at the equator") axes[0].scatter([0], [2], color="#176b9c", s=20) axes[1].scatter([0], [3], color="#176b9c", s=20) fig.savefig(Path.cwd() / Path(__file__).with_suffix(".png").name, dpi=150, facecolor="white") plt.close(fig) if __name__ == "__main__": main()