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Chillheimer
Global Moderator
Fractal Schemer

Posts: 972

Just another fractal being floating by..

 « on: June 22, 2017, 05:04:26 PM »

Hello fellow fractalists!
I'm working on the first batch of short films for our upcoming Youtube-channel "What the Fract?!" and need some quick help.
We're no native english speakers and need the wording/grammar checked in the following script.
Could you read through it and point out (and correct) any major mistakes we've made or change the wording so that it sounds more natural?

The overall vibe is supposed to be scientific but for beginners and with a happy tone, we've added a few minor visual jokes here an there.

-------------------------
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 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 neighbouring fibonacci numbers:
A divided by B equals phi
A : B = Phi
So for the Fibonacci sequenc 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 mathemaician 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 realtion 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.
---------------

 « Last Edit: June 22, 2017, 05:57:10 PM by Chillheimer » Logged

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Sockratease
Global Moderator
Fractal Senior

Posts: 3181

 « Reply #1 on: June 22, 2017, 10:48:58 PM »

-------------------------
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.
---------------

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
 Logged

Life is complex - It has real and imaginary components.

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