1. Blow-down ℓT(u) in V1
Dashed grey: target arc γ. Solid: current blow-down. The curve only agrees with γ at the isolated instants T = Tj.
target γ (dashed)
current blow-down ℓT
ghosts at previous Tj
2. Sup-norm error ‖ℓT − γ‖∞
The error drops to zero at each Tj but climbs back immediately — the sawtooth never flattens.
3. Depth-two component H₂[ℓT]
Dashed green: target value −(R²/2)(θ − sin θ). The central coordinate overshoots the target at intermediate scales before returning at each Tj.
target H₂[γ] (dashed)
current H₂[ℓT]