The shell of the nautilus
Kepler said that the golden number is a treasure of geometry, a precious stone.
And what is the number golden? The one that arises from the division in two of a segment keeping the following proportions: The total length a + b is to the longest segment a, as a is to the shortest segment b.
Such is its perfection that it is considered to be the aesthetic ideal, which is why it appears in many works of art; and there is no shortage of those who consider it a divine number, Luca Pacioli called it «The Divine Proportion»
He also has a great relationship with him Pentagrama as I explained back in the day.
The shell of the Nautilus
Lovely tattoo
Some of you will say and what is its relationship to the shell of the Nautilus? A lot. Both the golden number and the Fibonacci sequence (or infinite succession of natural numbers 1,1,2,3,5,8 ..., in which the quotient of two consecutive elements tends to the golden number) appear in many elements of nature such as the veins of the leaves of trees , the arrangement of the flower petals, the distance between the navel and the soles of a person's feet, with respect to their total height ...
And in the shell of some snails. Nautilus shell is in logarithmic spiral. I quote wiki «The relationship between the distance between the turns of the spiral interior of any snail or of cephalopods such as the nautilus. There are at least three logarithmic spirals more or less comparable to golden ratios.
The first one is characterized by the constant relationship equal to the golden number between the radio vectors of points located in two consecutive evolutions in the same direction and direction.
The shells of the Fusus antiquus, Murex, Scalaria pretiosa, Facelaria and Solarium trochleare, among others, follow this type of growth spiral».
Lovers mathematics they can tattoo a Nautilus shell to carry divine proportion on their body, a gemstone of geometry as Kepler would say.