Fermat's spiral is also known as a parabolic spiral. Vogel's model mimics the way nature builds flowers using the fibonacci series. It is the most effective way to pack seeds in a flower. It's rotational angle is based on the golden angle.
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Fermat's spiral is also known as the parabolic spiral. Vogel's model mimics the structure of natural flowers, such as sunflowers. The two spirals follow the fibonacci series. It is the most effective way to pack florets or seeds in a flower. Fermat's spirals rotational angle is based on the golden angle.
Experiment changing the values to explore the spiral formationi. Increase radius to mimic petal formation. Shift+F5 will reset values. Formula used follow these principles (plus some smart scaling for better looking results):
radius = squareroot(frame-number*seed-number)
thi = frame-number*seed-number*golden-angle
x-coord = r * sin(thi), y-coord = r * cos(thi)
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