Decimal numbers were in use in Europe well before the time of Fibonacci so he would have "related" to them when he started to count!
The Fibonacci sequence is a series of numbers in which each number is the sum of the two previous numbers. When graphed, the sequence creates a spiral. The sequence is also related to the "Golden Ratio." The Golden Ratio has been used to explain why certain shapes are more aesthetically pleasing than others.
Fibonacci was most famous for his contribution to mathematics, specifically the Fibonacci sequence. The Fibonacci Sequence is as follows: Start with the numbers 0 and 1, add them together you get 1, then add 1 and 1 together you get 2, then add 2 and 1 together you get 3 then add 3 and 2, 5, then 5 and 3, 8, then 8 and 5, 13 and soon below is all the Fibonacci numbers upto 233, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233... In other words each number is a result of the two previous numbers added together. The significance of this is that the higher you get in the sequence, you can divide a number and its previous number and that will give you a number close to the golden ratio (a special number that is used very frequently in mathematics, usually designated by the letter "e"). Fibonacci, or Leonard of Piza, was perhaps the western world's most exalted mathematician of the middle ages. He is best known nowadays for the discovery of the Fibonacci Series -- a series that occurs throughout nature. In this series, every new number is the result of the sum of the previous two numbers. Like this: 1,1,2,3,5,8,13,21,34 ... Many things in nature are related to Fibonacci series. No. of petals in any flower is a Fibonacci no., No. of steps in a round stair-case is a Fibonacci no., etc
A few examples: Counting numbers are an arithmetic sequence. Radioactive decay, (uncontrolled) bacterial growth follow geometric sequences. The Fibonacci sequence is widespread in nature.
how can I show how numbers are related to each other
Check out the related link, there's a list for you.
The pentagram is related to the golden ratio, because the diagonals of a pentagram sections each other in the golden ratio. The Fibonacci numbers are also related to the golden ratio. Take two following Fibonacci numbers and divide them. So you have 2:1, 3:2, 5:3, 8:5 and so on. This sequence is going to the golden ratio
Decimal numbers were in use in Europe well before the time of Fibonacci so he would have "related" to them when he started to count!
The Fibonacci sequence is a series of numbers in which each number is the sum of the two previous numbers. When graphed, the sequence creates a spiral. The sequence is also related to the "Golden Ratio." The Golden Ratio has been used to explain why certain shapes are more aesthetically pleasing than others.
The next number is 47. After this series gets going, each number is the sum of the two numbers before it. If the first two numbers were zero and 1, this would be the Fibonacci series.
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.
But to a mathematician, it is a neat, neat subject area. Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.
uyiuo
the Fibonacci sequence: 0 1 1 2 3 5 8 13 21 34 55 89 144 ... 0+1=1 1+1=2 1+2=3 you add up the first two numbers and the equal the next and so on... kofie2468
An Ashanti number is a concept in mathematics related to the Fibonacci sequence, where each term is the sum of the two preceding ones. Ashanti numbers are formed by starting with two initial values and then generating subsequent terms based on their sum. This concept can be extended beyond Fibonacci numbers to include other sequences derived in a similar manner.
Unlike some other types of numbers like prime numbers, calculating large Fibonacci numbers can be done quite easily with even a standard household computer. The process involves only repeated addition (rather than the intense division processes involved with large prime numbers). Beyond that, large Fibonacci numbers do not serve as much purpose as other large numbers (like primes). Because of this, these large numbers are generally left for quick calculation by machine if ever necessary. An example of a computer program that could calculate the nth Fibonacci number (n greater than 1 and counting the first 1 in the sequence as the second term) is given below in pseudo-code: Function Fibonacci(n) a = 0 b = 1 k = 2 While n > k ( a + b = c a = b b = c k = k + 1 ) Print b A very large Fibonacci number is the 250th in the sequence which has a value of: 12776523572924732586037033894655031898659556447352249. The 1000th term in the sequence is: 4346655768693745643568852767504062580256466051737178040248172908953655 5417949051890403879840079255169295922593080322634775209689623239873322 471161642996440906533187938298969649928516003704476137795166849228875. Much, much larger values (even beyond the 10,000,000th term) can be calculated quite quickly with a simple, well-written program. See related links for a site which can quickly calculate large Fibonacci numbers (using the form Fibonacci n).
They are used to model various situations where it is believed that some infinite "branching" effect best describes the geometry. For examples of how I have employed fractals as a theoretician, check out the "related links" included with this answer. I hope you like what you see.