NEW SECTION: "High-side cut tires alongside T_∂" with a stacked
figure showing concentric structure:
- Outer hexagon (blue) = T_∂'s cycle (depth 1 = ∂f_∂).
- Inner triangle (orange) = a depth-2 high-side cut tire
T_2^(f') interior to T_∂.
- Red dashed pendants outward from T_∂ = cut edges (depth 0,
OUT spokes of T_∂).
- Green dashed edges between outer and inner = depth-2 edges,
serving simultaneously as IN pendants of T_∂ and OUT spokes
of T_2^(f'). These are the SHARED EDGES the chain DP uses.
- Purple dashed pendants from inner triangle = depth-3 edges
(IN spokes of T_2^(f'), going to grandchildren).
The picture makes concrete what was abstract: each tire has
the same shape (cycle + 2 classes of spokes), tires nest
concentrically by depth, and the chain DP's edge-sharing is
literally the geometric "this same edge is on both tires."
Note grows from 4 to 5 pages.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
didericis
587d928736