Tao somma dei due precedenti: Tao aureo

Statua di Leonardo Fibonacci nel Camposanto di Pisa.

Successione di Fibonacci e approssimazione alla sezione aurea

Un foglio del manoscritto su pergamena del Liber abbaci conservato nella Biblioteca Nazionale Centrale di Firenze (Codice magliabechiano Conv. Soppr. C 1, 2616, fol. 124r), contenente nel riquadro a destra le prime tredici cifre, in numeri arabi, della cosiddetta "successione di Fibonacci".

Il volo dei numeri di Mario Merz, un'installazione luminosa sulla Mole Antonelliana, rappresenta la successione di Fibonacci

Mathematician Alan Newell of the University of Arizona in Tucson and graduate student Patrick Shipman studied cacti to determine why this pattern is so ubiquitous. The researchers analyzed the plant’s shape, the thickness of its skin, and a host of other biomechanical constraints that steer its growth. When they plugged the data into a computer they discovered, to their surprise, that the most stable configurations inherently follow a Fibonacci-like form. “We show that energy is minimized by this relation”
Courtesy of Patrick Shipman

Girasole - Sunflower

Aeonium tabuliforme

Conchiglia di nautilo

Immagine al microscopio di un'ovaia di Anglerfish (Rana pescatrice)

Cancer cell division. This composite confocal micrograph uses time-lapse microscopy to show a cancer cell (HeLa) undergoing cell division (mitosis). The DNA is shown in red, and the cell membrane is shown in cyan. The round cell in the centre has a diameter of 20 microns.
Credit Kuan-Chung Su, LRI

Jean-Claude Perez discovered a DNA supracode controlling the self-organization of the nucleobases Thymine, Cytosine, Adenine and Guanine (T,C,A,G), which make up the steps in the double helix ladder of DNA. He discovered if you consider 144 contiguous nucleobases it results from 55 T bases and 89 C A G bases, all Fibonacci numbers. These resonances extend to the ratios of the Atomic Weights of the Bio-Atoms of Carbon, Oxygen, Nitrogen and Hydrogen that create the nucleobases of T C A G, such that the ratios of atomic weights in strands considered to be ‘junk DNA’, that is DNA which could not be translated into genetic information or related to known protein synthesis, were equal to Phi, the Golden Ration of 1.618.