Assignment: The Fibonacci Sequence Find three examples of the Fibonacci sequence

Question

Assignment: The Fibonacci Sequence Find three examples of the Fibonacci sequence in nature. Write a paragraph describing each example. Include photos or graphics in your explanation For each example answer the following questions: How does the example relate to the Fibonacci sequence? .What portions of each item or situation display the Fibonacci sequence? How could the Fibonacci sequence help you solve a problem involving the item or situation? Document your sources and use the rubric as a guide for completing the assignment.

Explanation / Answer

Three examples of fibonacci series are given as

1) flower petals(fibonacci in plants)

2)fibonacci in animals(reproductive dynamics)

3)fibonacci in humans

1)flower petals

The number of petals in a flower consistently follows the Fibonacci sequence. Famous examples include the lily, which has three petals, buttercups, which have five (pictured at left), the chicory's 21, the daisy's 34, and so on. Phi appears in petals on account of the ideal packing arrangement as selected by Darwinian processes; each petal is placed at 0.618034 per turn (out of a 360° circle) allowing for the best possible exposure to sunlight and other factors.

2) reproductive dynamics

Speaking of honey bees, they follow Fibonacci in other interesting ways. The most profound example is by dividing the number of females in a colony by the number of males (females always outnumber males). The answer is typically something very close to 1.618. In addition, the family tree of honey bees also follows the familiar pattern. Males have one parent (a female), whereas females have two (a female and male). Thus, when it comes to the family tree, males have 2, 3, 5, and 8 grandparents, great-grandparents, gr-gr-grandparents, and gr-gr-gr-grandparents respectively. Following the same pattern, females have 2, 3, 5, 8, 13, and so on. And as noted, bee physiology also follows along the Golden Curve rather nicely.

3) fibonacci in humans

The proportions in the sections of a finger is the golden proportions.

We have 8 fingers ,

5 digits on each hand,

3 bones in each finger ,

2 bones in one thumb ,

1 thumb in each hand.

The chochlea of the inner ear forms golden spiral.

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