Fibonacci Numbers
0
1 1
1 2 1 Pascal's Triangle
1 3 3 1
The fift row 1 4 6 4 1 16 = 1,618
1. 2. 3. 4. 5. 11.
0 - 1 - 1 - 2 - 3 - 5 - 8 - 13 - 21 - 34 - 55
The first eleven numbers of Fibonacci numbers
Sometimes the Fibonacci numbers begins omitting the initial 0, and the sequence is written this way. The first two numbers in the Fibonacci numbers are 0 and 1, and each subsequent number is the sum of the previous two. We find the Fibonacci numbers to begin, such as Pascal's triangle.
Relation to The Golden Ratio
1/1 = 1,000 This is more Phi-Geometry than mathematics
3/2 = 1,5000
5/3 = 1,666...
8/5 = 1,600
13/8 = 1,625
21/13 = 1,615
34/21 = 1,619 The value closest to the Golden Ratio
55/34 = 1,617647
89/55 = 1,6181818
...... = ...............
The Golden Ratio 1.61803398874989
Pascal's Triangle 1
The Eleventh row is 1,618 1 1
Finally, phenomena follow the formation as described, each in its own way. Pascal's triangle is a pattern that includes the formation of the description.
The seed spiral shapes of sunflowers follow a Fibonacci sequence.
A wide number of petals of a flower corresponds to a number in the Fibonacci numbers. For example to daisies number is 34.
4.11.2015*22:50 (913 - 397)
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