clipped from: www.sciencenews.org   
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Each yellow nub in the center of this daisy is actually its own miniature flower, complete with a full set of reproductive organs. The buds form interlocking clockwise and counterclockwise spirals.
Scott Hotton


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The golden angle is the angle subtended by the smaller (red) arc when two arcs that make up a circle are in the golden ratio.
Wikipedia


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This sunflower has 21 clockwise and 34 counterclockwise spirals.
Scott Hotton


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Plants form new seeds or buds from the center. In this picture, the circle labeled 1 would be the most recent bud. The circle labeled 2 would have been formed just previously, and it forms the golden angle with bud 1

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An image of the tip of a Norway spruce branch, viewed through an electron microscope, shows small buds that are primordial. In this case, they will eventually turn into needles. The primordia form at the tip and then move outward and downward.
R. Rutishauser


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This cactus, a Mammilaria moellerana, has golden-angle spirals.
Eleanor Farrington