Welcome to the Greenery Land.

Tuesday, 2 August 2011

Fibonacci Sequence

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…

Rabbit Problem

Fibonacci’s work discussed a “rabbit problem,” which asked, "How many pairs of rabbits will there be after a year if it is assumed that every month each pair produces one new pair, which begins to bear young two months after its own

birth?”
--> The solution to this problem made the equence famous.

The Fibonacci sequence can also be found in nature.

A Bee’s Genealogy

• A drone, or male bee – hatches from an unfertilized egg. A female bee – hatches from an egg that has been fertilized. When finding the ancestry of a male bee, we observe that the Fibonacci sequence is formed.

A Pineapple’s Scales

• 3, 5, 8, 13, and even 21spirals can be found according to size. Consecutive sets of spirals run opposite of each other. (i.e., 5 would run opposite of 8).

• The higher the number of spirals, the steeper that spiral will be. Thus, no spirals moving opposite of each other will have the same spiral.

A Coneflower’s Spiraling Seeds

The seeds in the coneflower above form 34 spiraling to the left (green) and 55 spirals going

to the right (blue).

A Pinecone’s Spiraling Bracts

The bracts on the pinecone above form 8 spirals going to the right (green) and 13 spiraling to the left (yellow).

10:09

We, Huiling, Zhikai and Chaeyun from the one and only class of TA1C/11, are creating this blog in the hopes of spreading the knowledge of the mathematical topics we have chosen; Pascal's Triangle, Fibonacci Sequence and Probability. Please refer to the board on the right for the researches we have done:D Enjoy~