Fibonacci numbers appear in many natural contexts. Try the link below for a taste: it also gives a list of references if you wish to follow.
No.
The Fibonacci sequence itself does not have a direct application in astrophysics. However, patterns based on numbers related to the Fibonacci sequence, such as the golden ratio, can appear in naturally occurring phenomena in astrophysics, like the spiral formations in galaxies or the distribution of spiral arms in various structures.
Leonardo Fibonacci
No, the Fibonacci sequence and the Fibonacci triangle are not the same thing. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, typically starting with 0 and 1. In contrast, the Fibonacci triangle, also known as the Fibonacci triangle or triangle of Fibonacci numbers, is a triangular arrangement of numbers that represents combinations of Fibonacci numbers, often related to combinatorial properties. While both concepts are related to Fibonacci numbers, they have different structures and applications.
No, they are not the normal Fibonacci numbers.
Because the sequence was discovered and studied by Fibonacci of Pisa
Fibonacci numbers have always been around. Many scholars believe the concept was first noticed by mathematicians of India. Leonardo of Pisa (known as Fibonacci) first introduced the sequence to Western European mathematics in a 1202 book entitled LiberAbici, thus the sequence bears his name.
the fibonacci pattern of numbers came round about in the 1980's
the first seven Fibonacci numbers are 1,1,2,3,5,8,13. 13 is a Fibonacci number.
The first 85 Fibonacci numbers are:011235813213455891442333776109871,5972,5844,1816,76510,94617,71128,65746,36875,025121,393196,418317,811514,229832,0401,346,2692,178,3093,524,5785,702,8879,227,46514,930,35224,157,81739,088,16963,245,986102,334,155165,580,141267,914,296433,494,437701,408,7331,134,903,1701,836,311,9032,971,215,0734,807,526,9767,778,742,04912,586,269,02520,365,011,07432,951,280,09953,316,291,17386,267,571,272139,583,862,445225,851,433,717365,435,296,162591,286,729,879956,722,026,0411,548,008,755,9202,504,730,781,9614,052,739,537,8816,557,470,319,84210,610,209,857,72317,167,680,177,56527,777,890,035,28844,945,570,212,85372,723,460,248,141117,669,030,460,994190,392,490,709,135308,061,521,170,129498,454,011,879,264806,515,533,049,3931,304,969,544,928,6572,111,485,077,978,0503,416,454,622,906,7075,527,939,700,884,7578,944,394,323,791,46414,472,334,024,676,22123,416,728,348,467,68537,889,062,373,143,90661,305,790,721,611,59199,194,853,094,755,497160,500,643,816,367,088
37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
Fibonacci numbers are important in art and music. The ratio between successive Fibonacci numbers approximates an important constant called "the golden mean" or sometimes phi, which is approximately 1.61803.