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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Not a lot of ELI5 answers, but some good history.
The Fibonacci sequence is a set of numbers with a distinct pattern (explained in other comments). What is important is that the ratio of one number to the one following it is always the same. (The second is always 1.618 times larger than the previous). That is called the golden ratio, and it is the golden ratio that is seen everywhere in nature.
If you’ve seen the image of rectangles that form into a spiral, this is what it means:
The small rectangle has sides with that exact ratio. The long side of that rectangle is the short side of the next, and that rectangle uses the golden ratio. The long side of that one is the short side of the next…. And so on. This creates a spiral pattern, and that pattern, in that ratio, happens all the time. Flowers, tree leaves, and animal shells for example. Always 1.618 times bigger than the previous part.
The number isn’t magical. 1.618 isn’t special. There is just a natural order to things, and we created a numerical system that happens to measure that order at that number.
Not a lot of ELI5 answers, but some good history.
The Fibonacci sequence is a set of numbers with a distinct pattern (explained in other comments). What is important is that the ratio of one number to the one following it is always the same. (The second is always 1.618 times larger than the previous). That is called the golden ratio, and it is the golden ratio that is seen everywhere in nature.
If you’ve seen the image of rectangles that form into a spiral, this is what it means:
The small rectangle has sides with that exact ratio. The long side of that rectangle is the short side of the next, and that rectangle uses the golden ratio. The long side of that one is the short side of the next…. And so on. This creates a spiral pattern, and that pattern, in that ratio, happens all the time. Flowers, tree leaves, and animal shells for example. Always 1.618 times bigger than the previous part.
The number isn’t magical. 1.618 isn’t special. There is just a natural order to things, and we created a numerical system that happens to measure that order at that number.
you see it in nature especially plants, it’s often an efficient simple way to space things like thorns and petals or model the growth of branches, seeds, segements etc so it occurs.
you see it in nature especially plants, it’s often an efficient simple way to space things like thorns and petals or model the growth of branches, seeds, segements etc so it occurs.
you see it in nature especially plants, it’s often an efficient simple way to space things like thorns and petals or model the growth of branches, seeds, segements etc so it occurs.
Fibonacci sequence is a group of numbers that start with 0 and 1, and every number after that is the sum of the two numbers before it.
Fibonacci sequence is a group of numbers that start with 0 and 1, and every number after that is the sum of the two numbers before it.
Fibonacci sequence is a group of numbers that start with 0 and 1, and every number after that is the sum of the two numbers before it.
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
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
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