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“The golden ratio (approximately \(1.618\)) appears in nature through patterns like the spiral arrangements of seeds in sunflowers and pinecones, which allows for efficient packing. It is also observed in the branching of trees, the arrangement of leaves on a stem for optimal sunlight, and the spirals of seashells, hurricanes, and even galaxies. While sometimes debated as a perfect universal rule, these occurrences often arise from processes promoting efficiency, growth, and survival. “
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