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Golden Ratio: Difference between revisions
→Golden Ratio in Nature
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* Sunflower seeds: Sunflower seeds grow in Fibonacci spirals. | * Sunflower seeds: Sunflower seeds grow in Fibonacci spirals. | ||
* Tree branches: The way tree branches form or split is an example of the [[Fibonacci]] sequence. Root systems and algae exhibit this formation pattern. | * Tree branches: The way tree branches form or split is an example of the [[Fibonacci]] sequence. Root systems and algae exhibit this formation pattern. | ||
* Shells: Many shells, including snail shells and nautilus shells, are perfect examples of the Golden | * Shells: Many shells, including snail shells and nautilus shells, are perfect examples of the [[Golden Spiral]]. | ||
* Spiral galaxies: The Milky Way has a number of spiral arms, each of which has a logarithmic spiral of roughly 12 degrees. The shape of the spiral is identical to the Golden spiral, and the Golden rectangle can be drawn over any spiral galaxy. | * Spiral galaxies: The Milky Way has a number of spiral arms, each of which has a logarithmic spiral of roughly 12 degrees. The shape of the spiral is identical to the Golden spiral, and the Golden rectangle can be drawn over any spiral galaxy. | ||
* Hurricanes: Much like shells, hurricanes often display the Golden | * Hurricanes: Much like shells, hurricanes often display the [[Golden Spiral]]. | ||
* 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 | * 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. | ||