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Golden Ratio: Difference between revisions
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==Golden Ratio in Nature== | ==Golden Ratio in Nature== | ||
The Golden ratio also appears in all forms of nature and science. Some places include: | |||
* Flower petals: The number of petals on some flowers follows the [[Fibonacci]] sequence. | |||
* Flower petals: The number of petals on some flowers follows the Fibonacci sequence | |||
* Seed heads: The seeds of a flower are often produced at the center and migrate outward to fill the space. For example, sunflowers follow this pattern. | * Seed heads: The seeds of a flower are often produced at the center and migrate outward to fill the space. For example, sunflowers follow this pattern. | ||
* Pinecones: The spiral pattern of the seed pods spiral upward in opposite directions. The number of steps the spirals take tend to match Fibonacci numbers. | * Pinecones: The spiral pattern of the seed pods spiral upward in opposite directions. The number of steps the spirals take tend to match Fibonacci numbers. | ||
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* Fingers: The length of our fingers, each section from the tip of the base to the wrist is larger than the preceding one by roughly the ratio of phi. | * Fingers: The length of our fingers, each section from the tip of the base to the wrist is larger than the preceding one by roughly the ratio of phi. | ||
* Animal bodies: The measurement of the human navel to the floor and the top of the head to the navel is the Golden ratio. But we are not the only examples of the Golden ratio in the animal kingdom; dolphins, starfish, sand dollars, sea urchins, ants and honeybees also exhibit the proportion. | * Animal bodies: The measurement of the human navel to the floor and the top of the head to the navel is the Golden ratio. But we are not the only examples of the Golden ratio in the animal kingdom; dolphins, starfish, sand dollars, sea urchins, ants and honeybees also exhibit the proportion. | ||
* DNA molecules: A DNA molecule measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral. In the [[Fibonacci]] series, 34 and 21 are successive numbers. | * DNA molecules: A [[DNA]] molecule measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral. In the [[Fibonacci]] series, 34 and 21 are successive numbers. | ||
==Fibonacci Spiral== | ==Fibonacci Spiral== | ||