Fibonacci+Sequence+and+the+Golden+Ratio

> http://www.textism.com/bucket/fib.html "They also appear in biological settings,[|[][|6][|]] such as branching in trees, [|arrangement of leaves on a stem], the fruit spouts of a [|pineapple],[|[][|7][|]] the flowering of [|artichoke], an uncurling [|fern] and the arrangement of a [|pine cone].[|[][|8][|"]] > wikipedia > > === Purpose === > To appreciate and investigate a numerical pattern; to look for evidence of mathematical patterns in nature. > sciencenetlinks.com
 * 1) ===Write one research question below concerning your topic. Questions should be open ended and in the higher level spectrum of Bloom's taxonomy. I tell my students that all their questions should begin with Why, How or sometimes What(if it is a good question)? What purpose does the FS serve and how many ways can one use it on a daily basis other than solving mysteries that brilliant artists leave behind in epic novels? ===


 * 1) ===Choose one question from someone else writing on your page, and answer it. Be creative, attach pictures, videos as necessary.===
 * 2) ===Cite your internet source.===
 * 3) ===When you are done, read through all the responses on your page. Comment if you choose under a response.===
 * 4) ===Based on what you have read, develop one more research question to extend the learning of your topic.===
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1. How was the fibonacci sequence developed and how does it relate to the Golden Ratio?

wikipedia.org: They are intimately connected with the [|golden ratio], for example the [|closest rational approximations] to the ratio are 2/1, 3/2, 5/3, 8/5, ... . Applications include computer algorithms such as the [|Fibonacci search technique] and the [|Fibonacci heap] data structure, and graphs called [|Fibonacci cubes] used for interconnecting parallel and distributed systems. They also appear in biological settings,[|[6]] such as branching in trees, [|arrangement of leaves on a stem], the fruit spouts of a [|pineapple],[|[7]] the flowering of [|artichoke], an uncurling [|fern] and the arrangement of a [|pine cone].[|[8]] 2.Why is the Fibonacci sequence considered the golden number?