I’ve heard a lot about the amazing geometry of fibonacci and how it it’s supposed to be in all nature and that’s sacres geometry… But I simply don’t see it can some please explain me the hypes of it
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As many of the other commenters are saying it is a sequence of numbers where the next number is given by the sum of the previous two numbers starting with 0, 1 (then; 0 + 1 = 1, then 1 + 1 = 2, then 1 + 2 = 3, then 2 + 3 = 5 …)
You see the number chain occur naturally many places in nature in the development of seeds or leaves in plants, where the number of seeds or leaves in layers occur as fibonacci sequences, e.g. one layer has 3 leaves, the next has 5, next has 8 so on.
On a funny side note, you can also use it to approximate conversion of miles and kilometers, as 2 miles is approximately 3 km, 3 miles is approximately 5 km
Say you want to know how fast rabbits reproduce. Let’s make it simple with some assumptions:
1. start with a single newly born pair of rabbits
2. rabbits are able to mate at the age of one month, so at the end of its second month a female can produce another pair of rabbits
3. rabbits never die and a mating pair always produces a new pair every month
Together these rules produce the Fibonacci numbers.
1 (baby pair of rabbits)
1 (mating pair of rabbits)
2 (original mating pair + newborn pair makes 2 pairs)
3 (2 pairs from before + another newborn pair)
5 (3 pairs from before + 2 newborn pairs as another pair is having kids and original)
[The Fibonacci numbers are exactly the number of rabbit pairs each period.](https://mathcenter.oxford.emory.edu/site/math125/fibonacciRabbits/)
Say you want to know how fast rabbits reproduce. Let’s make it simple with some assumptions:
1. start with a single newly born pair of rabbits
2. rabbits are able to mate at the age of one month, so at the end of its second month a female can produce another pair of rabbits
3. rabbits never die and a mating pair always produces a new pair every month
Together these rules produce the Fibonacci numbers.
1 (baby pair of rabbits)
1 (mating pair of rabbits)
2 (original mating pair + newborn pair makes 2 pairs)
3 (2 pairs from before + another newborn pair)
5 (3 pairs from before + 2 newborn pairs as another pair is having kids and original)
[The Fibonacci numbers are exactly the number of rabbit pairs each period.](https://mathcenter.oxford.emory.edu/site/math125/fibonacciRabbits/)
Say you want to know how fast rabbits reproduce. Let’s make it simple with some assumptions:
1. start with a single newly born pair of rabbits
2. rabbits are able to mate at the age of one month, so at the end of its second month a female can produce another pair of rabbits
3. rabbits never die and a mating pair always produces a new pair every month
Together these rules produce the Fibonacci numbers.
1 (baby pair of rabbits)
1 (mating pair of rabbits)
2 (original mating pair + newborn pair makes 2 pairs)
3 (2 pairs from before + another newborn pair)
5 (3 pairs from before + 2 newborn pairs as another pair is having kids and original)
[The Fibonacci numbers are exactly the number of rabbit pairs each period.](https://mathcenter.oxford.emory.edu/site/math125/fibonacciRabbits/)
Honestly it’s easiest described just by showing you. Read it out loud and the pattern becomes obvious.
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21
13+21=34
21+34=55
34+55=89
Honestly it’s easiest described just by showing you. Read it out loud and the pattern becomes obvious.
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21
13+21=34
21+34=55
34+55=89
Honestly it’s easiest described just by showing you. Read it out loud and the pattern becomes obvious.
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21
13+21=34
21+34=55
34+55=89
The Fibonacci sequence is the simplest way to have an exponential in a discrete system. Discrete meaning non-continuous, as in whole numbers, integers.
As others have pointed out, there are multiple ways of doing this, but starting with 0 and 1 gives the simplest solution.
This is why it is said to be everywhere in nature. When something wants to grow exponential-like then it is a good chance that evolution settles on Fibonacci. This is especially true for more primitive plants.
The Fibonacci sequence is the simplest way to have an exponential in a discrete system. Discrete meaning non-continuous, as in whole numbers, integers.
As others have pointed out, there are multiple ways of doing this, but starting with 0 and 1 gives the simplest solution.
This is why it is said to be everywhere in nature. When something wants to grow exponential-like then it is a good chance that evolution settles on Fibonacci. This is especially true for more primitive plants.
The Fibonacci sequence is the simplest way to have an exponential in a discrete system. Discrete meaning non-continuous, as in whole numbers, integers.
As others have pointed out, there are multiple ways of doing this, but starting with 0 and 1 gives the simplest solution.
This is why it is said to be everywhere in nature. When something wants to grow exponential-like then it is a good chance that evolution settles on Fibonacci. This is especially true for more primitive plants.
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