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The Fibonacci Sequence in Leaves

The Fibonacci sequence is present in both the structure and arrangement of leaves in many plants. Since plants rely on photosynthesis, they want to maximize the amount of sunlight that strikes their leaves. The vertical growth of many plants means that leaves can cover up each other. To minimize this effect, the leaves are grown such that the angle between each successive leaf is the golden angle, as shown in Figure 2.

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Figure 1: Leaf Arrangement Using the Golden Angle
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Figure 2: Representation of The Golden Angle

The golden angle is simply the golden ratio applied to a circle: it is the smaller angle formed by two arcs that are related by the golden ratio.

$ \frac{a}{b} = \frac{a+b}{a} = \frac{360^o}{\theta} = \frac{1}{\phi} $




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