Friday, July 20, 2007

Janet's Fibonacci Numbers




Fibonacci numbers are the sequence where the first two terms are both one. In a fibonacci equation, n is the number of term, and F(n) is the value of term. To find the Golden ratio, you need to use proportion and the quadratic formula. Proportion is two ratios that are equal to each other. You also need to cross multiply to find the golden ratio. It is very easy to use fibonacci numbers, but the golden ratio is harder. The pinecone above is an example of fibonacci that is part of nature. It shows the fibonacci spirals very clearly. There are two different sets in this pinecone. All of the spirals connect to the top part of the pinecone, which is the stalk where it connects to the tree.
The seedhead above is another example of fibonacci that can be found in nature. The seedhead is called a coneflower seedhead. The seedhead has many colors on it. You can see the spirals that are coming out of the middle of the seedhead. The spiral starts in the middle and you can see it coming out. if you are looking at the seedhead from far away, you can see 55 spirals, But if you look at it in a closer view, you will see 34 spirals.
The starfish above is another example of a fibonacci that can be found in nature. Do you know why starfish is an example of fibonacci? Because a starfish has five arms and five is the 5th fibonacci number.If you draw a pentagon and put diagonals in it, you will get a star, and a star is the same a a starfish. The sides of the pentagon are one unit in length, the ratio between the diagonals and the sides is the golden ratio. The five-point symmetry with Golden proportions is found in starfish.
http://www.mcs.surrey.ac.uk/personal/r.knott/fibonacci/fibnat.html#pinecones
http://www.mcs.surrey.ac.uk/personal/r.knott/fibonacci/fibnat.html#seeds
http://jwilson.coe.uga.edu/EMAT6680/parveen/fib_nature.htm

2 comments:

Jenny said...

OH YEAH
NOW COMES TO MY ONE AND ONLY COUSIN IN MY CLASS RIGHT NOW
the pictures are cool
and its really long
ur typing to aim for an A
thats so coool
have fun during the summer
FANASTIC!!!!!!!! BYE BYE SMARTY!

Nancy said...

you gave a really good explanation of what Fibinocci numbers are and I liked your pictures