The Fibonacci Sequence of Numbers on This Day in History

 

Fibonacci and the Stock Market

Today in History: Today is Fibonacci Day. A Fibonacci sequence is a series of numbers where a number is the sum of the two numbers before it. For example: 1, 1, 2, 3...is a Fibonacci sequence. Here, 2 is the sum of the two numbers before it (1+1). Similarly, 3 is the sum of the two numbers before it (1+2). November 23 is celebrated as Fibonacci day because when the date is written in the mm/dd format (11/23), the digits in the date form a Fibonacci sequence: 1,1,2,3. https://www.timeanddate.com/holidays/fun/fibonacci-day

Fibonacci, also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano ('Leonardo the Traveller from Pisa'), was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".

Fibonacci popularized the Hindu–Arabic numeral system in the Western world primarily through his composition in 1202 of Liber Abaci (Book of Calculation).He also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in Liber Abaci. Liber Abaci posed and solved a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as Fibonacci numbers.

The Fibonacci sequence pops up in everything from nature to music to computer science to the stock market.

Mozart used the Fibonacci in his Sonata 279. In fact, he wrote the mathematical equations in the margins in the sheet music. 

You can also use the Fibonacci numbers to do conversion. "Fibonacci numbers can be used to approximately convert from miles to kilometers and back. Here is how. Take two consecutive Fibonacci numbers, for example 5 and 8. And you're done converting. No kidding – there are 8 kilometers in 5 miles. To convert back just read the result from the other end – there are 5 miles in 8 km! Another example. Let's take two consecutive Fibonacci numbers 21 and 34. What this tells us is that there are approximately 34 km in 21 miles and vice versa." Source

I came across this interesting comment on Youtube:

"1,1,2,3,5,8,13,21,34,55,89,144... (...233.377.610...)

- I was noticing a while back that 144 is the 12th # in the sequence...

- 12 is also its root

- &if you take 144's mirror-441, it's root is 21, the mirror of 12 who's square is 144

- same thing with 13 (13x13=169 31x31=961)

(I haven't bothered to check how many more numbers might do that but I notice that not all do, so that' is kind of interesting but I don't know if its profound or significant) or if I should see it as pointing toward something else.

Also, this could be meaningless or just coincidence... but I was also recalling how I read that the Mayan's use 144,000 (144,000 days in a Baktun) and also 144,000 is used in the Christian Bible too. Maybe someone has some thoughts on this too.

Also, the divine number is neat in the way in which if you square 1.618 [Golden Ratio] it will be roughly the same as if you added 1.0 to it. Kind of weird." 

See also: Fibonacci Number Patterns

See also Fun with Mathematics - Over 250 PDF Books on DVDrom