Have you ever used it in your artwork

Isn't that the Chinese take out on Mulberry and Concorde St?

No do tell.

What I know is that this ratio calculates the beauty of the thing and is used in many fields such as geometry, painting and imaging....

Everything I know about it, I learned from Donald Duck, who discusses it in a Disney short called Donald Duck in Mathemagicland.

As I understand it, it's based on a Greek idea that because a certain mathematical ratio is common in nature, that it must have magical qualities.

They believed that human constructions which utilized the ratio, would invariably be found to be optimally pleasing to the eye.

All of what I do which could be considered art, is in the realms of music and writing, rather than visual things, so I've never used it.

There is a golden ratio for sound/music but I'm not sure about writing?

Think of the golden ratio as the balance of a work of art.
Sometimes the balance can be off a bit and still attract attention.
Mostly tho, the perception is attracted to balance without conformity.
Too much symmetry can put one off.

3.14

I thought it was called the Fibonacci sequence. I don't know much about it. I think I 1st came across it in a film, nymphomaniac

Yes I've used it in my photography before using mobile phones and as a function on the app, unfortunately I can't show you on here.

The Golden Ratio is a rectangle where if you make a square of one end of the rectangle, the remainder is a rectangle of the exact ratio as the first original rectangle.
short side is 0.618034 times the long side.

If you make consecutive squares in the consecutive remaining rectangles to infinity, or as small as you can go, you can draw a spiral from joining the arcs within each square, (from a corner) which if ironed out to remove the disparity from the changing radii, you can draw the golden spiral.

Used for hundreds ( or thousands) of years in some artistic cultures.

I calculated the number myself after reading about it, and drew the consecutive rectangles, then the spiral; very finnicky work, but looks good.

Most of my paintings are on Golden Ratio picture canvasses I made myself.

The first time I heard of this was whilst doing a Machine Knitting Design Course. It's to do with proportions which are pleasing to the eye. I wrote the proportions down and stuck stickers on the shelving and in note books in my knitting room so that when I wanted to use it I could find it! Since then I've never placed an ornament in the middle of anything. :o)

If you divide the numbers in the Fibbonachi sequence, you get close to phi (1.61803...)
For example: 55÷34=1.617

That's Pi...

That'll do!

Golden Ratio is a reducing sequence.

Best way to think of it is what you find the most 'pleasing' when you look at something - like a framed window, Divinci or even an ancient palace!

Fibonacci published an interesting perspective...