The Mandelbrot fractal

[Fogey]

One of the most famous fractals  is the Mandelbrot set, also known as the father of all fractals. Firstly defined in the 1978 , it was later computed and visualised by the mathematician Benoit Mandelbrot in 1980

https://www.youtube.com/watch?v=PD2XgQOyCCk&ab_channel=tthsqe12

I find these fractals  fascinating.  It's interesting to note a lot of the patterns generated can be found in nature with Fibonacci's sequence.

[Denis]

Watching that was weird.....I had a similar experience in a marquee watching Hawkwind at the Isle Of Wight Festival in 1971 !

[Fogey]

Ah!  But this isn't as expensive as Wacky Baccy.

[Denis]

4 hours ago, Fogey said:

Ah!  But this isn't as expensive as Wacky Baccy.

This was pounds shillings and pence!

[Clicker]

Watching that video and others like it seems to depict what I imagine infinity looks like Fogey  ... mesmerising stuff ..  I have long been aware of the Fibonacci sequence from when studying fine art and I mentioned it in a post  in fact earlier in the year when describing what looked like a perfect composition, following what is sometimes known as the  golden spiral  formula. Interestingly  nature follows it so often, as you said,  and it’s often used to explain why a composition feels so aesthetically pleasing and balanced..  An interesting post from you ... thanks for that.

[Fogey]

Yes Clicker, you are absolutely right.
The artisans of the day referred to Fibonacci's sequence as the Divine Proportions because this ratio was found so often in nature.  
Again the artisans of the day used this sequence during the Renaissance and even now, in today's architecture.  Look also in the classical musical compositions and you'll find the most pleasing to the ear will be following the same ratio.

I did find a fractal based on Fibonacci's ratio and that was interesting as it produced the same spirals and patterns found in the galaxies, as exposed by the Hubble telescope.

It's my view, for what it's worth, that Fibonacci's ratio is so profound it can be regarded as a building block on which the Earth is founded.

https://www.bing.com/videos/search?q=videos+of+fractal+based+on+fibonacci's+ratio&docid=608026765111526605&mid=308DFEBEEC8EE7DCD49E308DFEBEEC8EE7DCD49E&view=detail&FORM=VIRE

Edited November 10, 2020 by Fogey