Short Animations: Fibonacci Spiral | Animated video by Mathing

This is a part of the short animation series where I post math animations which I find to be cool (I hope you do too!)

This particular animation is actually revealing the Fibonacci spiral. This spiral, originated from the Fibonacci sequence, is often compared to the Golden Ratio Spiral, a spiral commonly found in nature. (To be honest I once thought both were the same, but the fact is that this spiral gets closer and closer to the golden ratio spiral as it ventures towards infinity)

More on Golden ratio:
The golden ratio is a ratio which is often referred to as "The Ratio of Beauty". This ratio comes up in nature very often and it is very fundamentally connected to the Fibonacci sequence, one instance can be that the ratio of two consecutive Fibonacci numbers approaches 1.618... , as the numbers get larger and larger.

See also:

Animated video by Mathing
Software: Adobe After Effects

Mathing is a channel which aims to visualize math using cool animations.

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Music by Sappheiros:

Copyright:This video can not be used in any way without the permission of the owner.

[fatimameher]

Need more of these amazing short animations! Makes me appreciate the beauty in Mathematics.

[calebgroncki]

Music is math

Math is shapes

Shapes are chords

Chords are harmonic frequencies

How far does the rabbit hole go?

[AnvarBaxitbaev]

fib spiral:1+1=2 1+2=3 2+3=5 3+5=8 5+8=13 8+13=21...

[sawdameher]

MashaAllah ❤️ This video is amazing. Edit ta Bhalo hoise now it's clear. I can clearly see how much you have improved over time. I love your matching logo and cover. ❤️it. Keep making us proud. Best wishes 🤗

[AashraiRavooru]

I was always confused on how someone decided on which adjacent edge to draw the next square in. I understand now that its completely up to you and comes from the direction of your curve. You don't always need to start the curve from bottom left to top right you can also start from top left to bottom right. The end of the curve decides which edge you will draw the next square in..Simple.

[rakibshah]

The depth of this 60 seconds video is enormous. Wonderful work with the animation! Look forward to more cool videos on the Fibonacci Sequence.

[selvakumarteacher]

Hi sir how to do this animation please reply

[vannigiannotti]

Amazing!!!! Is this clip under copyright? May I use it for a non-commercial video?

[arturorenteria]

I need to make an animation like this, what software could I use?

[aljeffersoncaligagan]

HIII I NEED THIS IN MY PROJECT, PERMISSION TO USE IT FOR MY PROJECT THANKSSS!! <3

[Xernom]

𝓘 𝔀𝓸𝓾𝓵𝓭 𝓵𝓲𝓴𝓮 𝓽𝓸 𝓼𝓱𝓸𝔀 𝔂𝓸𝓾 𝓶𝔂 𝓰𝓻𝓪𝓽𝓲𝓽𝓾𝓭𝓮 𝓯𝓸𝓻 𝓽𝓱𝔂 𝓿𝓲𝓼𝓾𝓪𝓵 𝓮𝔁𝓹𝓵𝓪𝓷𝓪𝓽𝓲𝓸𝓷𝓼