"""Render the 21-vertex d=2 example and its post-preprocessing state.""" import sys, os sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) import matplotlib.pyplot as plt from matplotlib.patches import Polygon from d2_balanced_existence import ( POS, n, OUTER_EDGES, outer_set, compute_depths, FACES as FACES0, CHORDS as CHORDS0 ) from d2_preprocessing import apply_switch OUT_DIR = os.path.join(os.path.dirname(os.path.abspath(__file__)), os.pardir) def draw(ax, faces, chords, depth, title, highlight_edges=None, green_edges=None): palette = {0: '#86efac', 1: '#fde68a', 2: '#fca5a5'} edge_pal = {0: '#16a34a', 1: '#d97706', 2: '#dc2626'} for i, f in enumerate(faces): d = depth[i] poly = Polygon([POS[v] for v in f], closed=True, facecolor=palette.get(d, '#ddd'), edgecolor=edge_pal.get(d, '#333'), linewidth=1.4, alpha=0.65, zorder=0) ax.add_patch(poly) cx = sum(POS[v][0] for v in f) / 3 cy = sum(POS[v][1] for v in f) / 3 ax.text(cx, cy, str(d), ha='center', va='center', fontsize=10, color=edge_pal.get(d, '#333'), fontweight='bold') for (a, b) in OUTER_EDGES + chords: color = '#333'; lw = 1.2 if highlight_edges and ((a, b) in highlight_edges or (b, a) in highlight_edges): color = '#dc2626'; lw = 3.0 if green_edges and ((a, b) in green_edges or (b, a) in green_edges): color = '#16a34a'; lw = 3.0 ax.plot([POS[a][0], POS[b][0]], [POS[a][1], POS[b][1]], color=color, linewidth=lw, zorder=1) for i, (x, y) in POS.items(): ax.scatter([x], [y], s=240, c='#1f2937', edgecolors='black', linewidths=0.8, zorder=2) ax.text(x, y, str(i), ha='center', va='center', fontsize=8, color='white', fontweight='bold', zorder=3) ax.set_aspect('equal'); ax.axis('off') ax.set_xlim(-1.25, 1.25); ax.set_ylim(-1.25, 1.25) ax.set_title(title, fontsize=11) depth0, _ = compute_depths(FACES0, outer_set) faces1, chords1 = apply_switch(FACES0, CHORDS0, (0, 7), (14, 3)) depth1, _ = compute_depths(faces1, outer_set) fig, axes = plt.subplots(1, 2, figsize=(14, 7)) draw(axes[0], FACES0, CHORDS0, depth0, 'Before: F=(0,7,14) depth 2, all three depth-1 neighbours lopsided', highlight_edges=[(0, 7)]) draw(axes[1], faces1, chords1, depth1, 'After preprocessing on (0,7): new F=(3,7,14) admits balanced switch on (3,7)', green_edges=[(3, 14)], highlight_edges=[(3, 7)]) fig.tight_layout() out = os.path.join(OUT_DIR, 'fig_d2_preprocessing.png') fig.savefig(out, dpi=180, bbox_inches='tight') plt.close(fig) print(f'wrote {out}')