patterns in nature fibonacci sequence in nature

#PATTERNS IN NATURE FIBONACCI SEQUENCE IN NATURE FULL#

All are fractions with fibonacci numbers, at least. Different plants have favored fractions, but they evidently don't read the books because I just computed fractions of 1/3 and 3/8 on a single apple stem, which is supposed to have a fraction of 2/5.

#PATTERNS IN NATURE FIBONACCI SEQUENCE IN NATURE FULL#

So if the stems made three full circles to get a bud back where it started and generated eight buds getting there, the fraction is 3/8, with each bud 3/8 of a turn off its neighbor upstairs or downstairs.

You can determine the fraction on your dormant stem by finding a bud directly above another one, then counting the number of full circles the stem went through to get there while generating buds in between. Eureka, the numbers in those fractions are fibonacci numbers! The amount of spiraling varies from plant to plant, with new leaves developing in some fraction - such as 2/5, 3/5, 3/8 or 8/13 - of a spiral. The buds range up the stem in a spiral pattern, which kept each leaf out of the shadow of leaves just above it. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached. Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. Count the number of spirals and you'll find eight gradual, 13 moderate and 21 steeply rising ones. One set rises gradually, another moderately and the third steeply. Focus on one of the hexagonal scales near the fruit's midriff and you can pick out three spirals, each aligned to a different pair of opposing sides of the hexagon. I just counted 5 parallel spirals going in one direction and 8 parallel spirals going in the opposite direction on a Norway spruce cone. The number of spirals in either direction is a fibonacci number. Actually two spirals, running in opposite directions, with one rising steeply and the other gradually from the cone's base to its tip.Ĭount the number of spirals in each direction - a job made easier by dabbing the bracts along one line of each spiral with a colored marker. Look carefully and you'll notice that the bracts that make up the cone are arranged in a spiral. To see how it works in nature, go outside and find an intact pine cone (or any other cone).

Patterns in nature fibonacci sequence in nature