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Hello fellow fractalists!

Today we are going to talk about: bunny sex.

Seriously? What the fract do copulating rabbits have to do with fractals?

Part 1: What is the Fibonacci sequence // Math basics

You've probably heard of the Fibonacci sequence. It is an infinite sequence of natural numbers called the Fibonacci numbers.

The sequence was named after the Italian mathematician Leonardo Fibonacci who used it in the 12th century to describe the growth of rabbit populations.

The sequence is built by adding the current to the previous number.

0+1= 1

1+1=2

1+2=3

2+3=5

3+5=8

5+8=13

21

34

55

89......

The Fibonacci sequence is directly linked with the golden ratio "Phi".

Phi is the ratio between two neighboring Fibonacci numbers:

A divided by B equals phi

A : B = Phi

So for the Fibonacci sequence this means:

5:3=1,66 8:5=1,6 13: 8= 1.625

The higher the pair of numbers the more precise is the result.

1.618...

Fibonacci-Sequence and Phi are closely related with our perception of beauty and aesthetics and can be found in many historic buildings like the Pantheon in Athens or Notre Dame in Paris.

It can also be found in many historic paintings like for example the last supper by Leonardo da Vinci.

The closer the proportions of a face are to Phi the more beautiful we rate it.

There are tons of examples – if you're interested check the description below

So where is the connection to fractals?

Well, you can find the Fibonacci sequence in one of the most famous fractals of all: The Mandelbrot Set.

To do so we are looking at the so called bulbs...

If you take the next smaller bulb in between two large bulbs zooming in here and you look at the

different amounts of branching tips you will find the the exact Fibonacci numbers.

Here comes the crazy part:

Actually it doesn't matter which Bulb number you start with. If you take the next smaller bulb in between two large bulbs it will stand in a ratio converging to Phi.

Like here: 2, 1, 3, 4, 7, 11, 18, 29,

By the way these numbers are called the Lucas Sequence, discovered in the 19th century by the french mathematician Édouard Lucas, who generalized the Fibonacci-Sequence in a way that you can follow this principle with any numbers.

But that's not all of it:

Also the area of these bulbs themselves are in relation of phi²

Even though hidden Phi is omnipresent in the Mandelbrot set....

and maybe this is one of the many reasons why we find watching it so aesthetically pleasing.

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Nice job!

Just a couple minor changes already made in my quoting of the post. Here's a list of what I changed:

First "You" should be You've or You have

Some Capitalization which shouldn't matter if this is video with narration, spelling too

But the rest is excellent and not obviously written by a non-native speaker of English