Golden Sections

I was inspired by this short Randall Carlson episode to re-construct the diagram in Wolfram Mathematica.

It is a geometric construction of “the golden mean”, and then viewing it as a ratio, as the basis for a triangle, and as the basis for a pair of circles.

Here is a screenshot of that intermediate step:

For extra fun, there is a comparison of this ratio with a few interesting real-world … objects.

Here is a screenshot of that part:

But the real takeaway is how fluid it is to tinker with all this.

As I grow older, I really appreciate the “amateur joy” of all this 🙂

Here is the notebook published to the cloud, free to access publicly.