"""Original hop-count weight bands. Python 3.14.4, Matplotlib 3.10.7. Run from any working directory; writes the PNG into that directory. """ import os from pathlib import Path os.environ['MPLCONFIGDIR'] = '/tmp/oxford-matplotlib' os.environ['OPENBLAS_NUM_THREADS'] = '1' os.environ['OMP_NUM_THREADS'] = '1' import matplotlib matplotlib.use('Agg') import matplotlib.pyplot as plt def main(): n = 8 fig, ax = plt.subplots(figsize=(7.6, 3.8), dpi=120) fig.patch.set_facecolor('white') ax.set_facecolor('white') for hops in range(1, n): upper = hops * (1 + 1 / n) assert upper < hops + 1 ax.plot([hops, upper], [hops, hops], color='#176b8c', linewidth=8, solid_capstyle='butt') ax.plot([hops, upper], [hops, hops], 'o', color='#176b8c', markersize=4) ax.plot([upper, hops + 1], [hops, hops], color='#b65317', linewidth=1.5, linestyle=':') ax.set_xlim(0.7, 8.25) ax.set_ylim(0.5, 7.7) ax.set_xticks(range(1, 9)) ax.set_yticks(range(1, 8)) ax.set_xlabel('Total path weight') ax.set_ylabel('Number of edges in a simple path') ax.set_title('Nearly unit weights: fewer hops always win', pad=13) ax.text(0.02, 0.97, 'n = 8; each edge weight is in [1, 1 + 1/8]', transform=ax.transAxes, va='top', fontsize=9) ax.grid(axis='x', color='#dddddd', linewidth=0.7) ax.set_axisbelow(True) ax.spines[['top', 'right']].set_visible(False) fig.tight_layout() fig.savefig(Path.cwd() / (Path(__file__).stem + '.png'), facecolor='white', transparent=False, metadata={'Software': 'Matplotlib; original generated diagram'}) plt.close(fig) if __name__ == '__main__': main()