Feel free to add what you know or heard about it. I find it interesting.

Here's what I know about it.

1,2,3,5,8 ----- series. Yes - quite interesting.

Good lord you must be out of your mind! Go clean some traps or something!…….

Golden ratio 1.618 (ratio of beauty)

Leonardo Fibonacci 13th century mathmetician.He noticed that there were sequences in nature,,such as the arrangement of leaves on a branch,,or seeds in a Sunflower.We use those sequences in every day life today without realising it.

Upstate explained it nicely

Purpose and application?

Golden age flintlock carving patterns were laid out using this idea. At least the high end ones.

Lots of arts use this.

It is used in charting stocks also.

I use this ratio when building fancy boxes in the shop. Everything from small keepsake and jewelry boxes to larger blanket and toy chests.

We had a discussion in bible class about 2nd and 3rd causes and the affects of them. I brought up ripples in the water from a stone cast in and that how those waves could be predicted using Phi and the sequence. One lady spouted off that I was gambling. Really I think if there is an earth quake and a tsunami is coming and no one tries to estimate its arrival, that is gambling !

Appears everywhere in nature. Used commonly in artwork design and photography to determine how an area should be framed to make it balanced and appealing.

Yes. A most intricate , beautiful observation . I use the principles often in art. In nature it is even miraculous in the similarity of so many designs on animate and inanimate subjects. In music, it is similar with the circle of fifths.

The old master painters and marble statue carvers knew this formula well, even so long ago.

Math being my weak point, I still get the gist of this amazing event.