regular polygons

2007-02-18 3:40 am
There is sequence called Fibonacci Sequence. There are a lot of mathematics relating to this sequence. Write down 3 mathematical results relating to the sequence.
[Keywords: Fivonacci Sequence, Golden Ratio, 費波拿契數]

回答 (3)

2007-02-27 5:12 am
✔ 最佳答案
In music, Fibonacci numbers are sometimes used to determine tunings, and, as in visual art, to determine the length or size of content or formal elements. Examples include Béla Bartók's Music for Strings, Percussion, and Celesta.

Fibonacci sequences appear in biological settings, such as branching in trees, the curve of waves, the fruitlets of a pineapple, and the arrangement of a pine cone. Przemyslaw Prusinkiewicz advanced the idea that these can be in part understood as the expression of certain algebraic constraints on free groups, specifically as certain Lindenmayer grammars.
Rabbit born rabbits is one of it. first there is a pair of rabbit. then we need to wait for it to grow up. then the third year they are born rabbit. then it wait for the young rabbit to grow up again and again and again and again.......
2007-02-18 4:27 am
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025…
this is the result of adding up itself and the one before.

rabbit born rabbits is one of it. first there is a pair of rabbit. then we need to wait for it to grow up. then the third year they are born rabbit. then it wait for the young rabbit to grow up again and again and again and again.......
參考: my f1 maths bk
2007-02-18 4:18 am
我靜係諗到一個啫
就可數學思考題可以用到Fibonacci Sequence
就係上n級樓梯,每次可以上1/2級 可以有幾多種方法
for example
上1級 就有1+0=1個方法
上2級 就有1+1=2個方法
上3級 就有1+2=3個方法
上4級 就有2+3=5個方法
上5級 就有3+5=8個方法
上n級 就有前2級行的方法相加
參考: king


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