The "Cosmic Web" (the universe's large-scale structure), terrestrial mycorrhizal networks, and the human neural network do not share consciousness, nor are they "exactly the same," but they exhibit a profound statistical isomorphism. Driven by gravity, Darwinian competition, and electrochemistry respectively, these networks optimize energy flow by developing analogous power-laws and connectivities (averaging 3.8 to 4.1 connections per node). This structural convergence proves that complexity in nature emerges from strict thermodynamic physical limits, not intentional design.