Kleiber's Law — Metabolic Rate ∝ M^(3/4) from Fractal Vascular Network

Kleiber (1932): metabolic rate B ∝ M^(3/4) spans 27 orders of magnitude. West-Brown-Enquist (1997): fractal branching networks fill space (D=3) while minimizing transport cost yield exactly 3/4 — not 2/3 (surface area) or 1 (volume). Explore the branching geometry and scaling.