Let me first tell you that cryptomathics isn’t a philosophy but a method. It is a way to approach the reality that is not without its faults. That’s why everyone remembers Einstein, and few remember Hilbert. Einstein adapted his theory to the observations made by science, while Hilbert wanted to force an esthetically pleasing mathematical concept upon the universe.
This is because humans are creatures of order, while the real universe is neither chaos nor order. It´s best described by what Taoism calls The Way: the thin borderline between chaos and order that creates our reality.
When artists want to create something esthetically pleasing, they too must walk that thin line.
For the purpose of this post, I chose a random subject: Dancing. Then I took a conch shell because of its reputation of one of the best representations of the Fibonacci sequence in nature.
The chambered nautilus is a sea creature that belongs in the same class as the octopus. Unlike the octopus, it has a hard shell that’s divided into chambers. As the nautilus matures and grows, it periodically seals off the shell behind it and creates a new, larger living chamber. The shells of adults may have as many as 30 such chambers.
Using differential geometry–the study of curves and surfaces–a team of mathematicians found that many shells are formed by three simple processes in the mantle (which generates the shell): expansion, rotation, and twisting.
An example of a logarithmic spiral.
When this fixed amount is the golden ratio, (1 + √5)/2, or 1.6180339887…, you get a particular type of logarithmic spiral. Such a logarithmic spiral can be inscribed in a rectangle whose sides have lengths defined by the golden ratio.
Roughly speaking, the spiral of the chambered nautilus triples in radius with each full turn whereas a golden-ratio spiral grows by a factor of about 6.85 per full turn.
The measured ratios ranged from 1.24 to 1.43. “It seems highly unlikely that there exists any nautilus shell that is within 2 percent of the golden ratio, and even if one were to be found, I think it would be rare rather than typical,” Falbo concluded.
That´s the instance when the artist in me adjusted the image till it fitted the desired format. And then you get the result that is showed in the finished painting. The apparent unbalance in the picture adds to the sensation of a moving object that has been frozen in time.