<![CDATA[Natural morphologies, from phyllotactic spirals in sunflowers to logarithmic nautilus shells, embody efficient parametric geometries governed by irrational angles like the golden ratio (φ ≈ 1.618) and superformulas. These patterns optimize packing, growth, and structural integrity, inspiring biomimicry amid escalating demands for sustainable engineering by 2005. Purpose: This study synthesizes mathematical modeling of Fibonacci phyllotaxis, logarithmic spirals, L-systems, and superformulas to validate natural patterns, evolve biomimetic designs via genetic algorithms, and quantify performance in solar arrays, antennas, and composites. Evolutionary algorithms (population=200, generations=50) optimized parameters across morphospaces, integrated with FEA for structural metrics and ray-tracing for efficiency. Findings: Golden-angle phyllotaxis achieved 95% packing density, nautilus fits yielded b=0.31 (MSE=4.14), pinecone divergences α=142.3° (HD=0.20). Superformula morphospaces spanned m=1-8, n1=0.5-3.0, evolving b from 0.08 to 0.124 (+55%).]]>
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