Projection ratio 𝒞 = ⟨ℓ_3D⟩/⟨ℓ_2D⟩ as a function of fractal dimension D for N = 200, evaluated at three spatial dynamic ranges: SDR = 10 (blue), SDR = 50 (orange), and the effectively infinite–resolution limit SDR → ∞ (green). Lower values of D correspond to more strongly clustered, filamentary (more “fractal”) structures, while higher values of D approach smoother, more space–filling morphologies. Solid lines show ensemble means, while shaded regions indicate the 1σ scatter across Monte Carlo realisations. The projection ratio increases monotonically with D and approaches an approximately asymptotic value at high D, with finite spatial resolution systematically reducing 𝒞 at all fractal dimensions.