It’s Time to Talk About the Golden Ratio

The Golden Ratio is one of those famous constants in mathematics. It is a number that appears frequently in nature. This is because things like seeds and petals tend to be Fibonacci numbers. This phenomenon was studied by Alan Turing. A property of them is that when you divide two consecutive Fibonacci numbers you get an approximation of the Golden Ratio.

I’m bringing this up because I’ve recently updated my Golden Ratio cross stitch pattern. The issue has always been which symbol to use. There is upper case phi, Φ.Or lowercase phi, φ. Or even this symbol also used as a lowercase phi, ϕ. I’ve seen all three but my preference is for φ.

I recently figured out how to create that symbol in cross stitch. So I’ve updated the pattern. Here you can see it fully stitched out. Here is what it looks like finished.

Golden Ratio Bookmark
The Golden Ratio (1513 downloads)

If you make the pattern please tag me on Twitter @Susan_Silver.

One thing that I wondered the other day was why the Golden Ratio is not a transcendental number like e or π (pi). Well, that has to do with how we find the Golden Ratio value. Turns out, it is the solution to a polynomial equation and therefore cannot be transcendental.

This is shown in the following Numberphile video. The proof is pretty easy to follow actually. It also shows why the Golden Ratio is considered the most irrational number.

YouTube player

How do you feel about the Golden Ratio? I always wonder when I meet people who love math about what their favorite constants are. A lot of people go for π (pi). So much so that we have a holiday to celebrate every year on 3/14.

My favorite constant is e. I know, weird right? I love that the integral and derivative of e^x is itself. It is a function that is true to itself. Something I always try to be.

I figure there are people who love the Golden Ratio and created this cross stitch pattern for them.