The golden mean

As n (where Fn is the Fibonacci number corresponding to n) approaches infinity, the limit of the sequence of successive Fibonacci number ratios is the Golden mean.
This convergence is also geometrically representable by a logarithmic spiral.
Logarithmic spirals are found throughout nature, for example, the shell of a chambered nautilus, the tusks of an elephant and patterns in sunflowers and pine cones.

the golden ratio = 1.61803399...

the more we try to reach perfection (the golden mean) by seeking it, the further we are from it( the number of digits keep increasing)

This 'perfect' number is representable only an irrational number.

Could it be that the systems that we choose to represent reality (numbers, euclidean geometry) are an inadequate model of reality?

Could it be that we are restricting our perception of reality by using such systems?

Could it be, that as long as we stick to such inadequate models, we will be stuck in a never-ending cycle, and the only way to come out of it, is to never lose touch with reality, and build systems that take reality into account.