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Global glacier mass loss threatens freshwater supply for nearly two billion people. Existing cryospheric interventions (ice stupas, cloud seeding, snowmaking, glacier blankets) lack geometric optimization of ice formation. We propose subsurface dendritic tunnel networks whose 60-degree branching mirrors Ice Ih hexagonal symmetry. Cold air flows passively via wind capture and thermal buoyancy; Venturi constrictions at branch junctions accelerate airflow; corrugated linings initiate heterogeneous nucleation well above the homogeneous threshold. Computational modeling of five geometric scenarios with identical total excavation length shows dendritic networks achieve the highest interstitial filling, substantially outperforming hexagonal grids and radial layouts in both ice-air surface area per unit length and total ice volume. The theoretical framework integrates Mullins-Sekerka instability analysis, Stefan problem dynamics, Murray's law branching optimization, Bejan's constructal theory, and diffusion-limited aggregation topology into a unified foundation for shape-optimized cryospheric engineering.