The above image is a painting by Charles Gilchrist who is an expert in sacred geometry. I had some revelations while studying this picture over some time.
Nice analysis Sadukan, a bit hard to follow some of it without taking a bit more time. I think you may have worked out the math to this geometry. I've always found it interesting the fascination with...
phi and PHI 0.618... and 1.618 it's reciprocal with a difference of one (1)
...and with √2 (1.414...)...
√2+1 = 2.4142135623730950488016887242097
and it's reciprocal is 1/(√2+1) = 0.4142135623730950488016887242097
...exactly a difference of two (2).
Below is a proof, putting the math to the geometry.
The geometry is formed by making a square of circles with a radius = 1, and the circle that is naturally formed in the center has a radius = 0.414..., the large circle formed on the outside has a radius = 2.414..
This for me is very simply shown, I'm sure for some people the math is easier to follow, I just thought I would share this.