It appears
also in the geometry of plants through the pentagon and the
number of petals of numerous flowers. He is integrally part
of the logarithmic spiral which forms the shell observed in
nautiloids (2):
In the
human body, the golden section is observed in the ratio between
the height of the individual and the distance from navel to
ground.
Fibonacci has found the golden section in the number of individuals
in rabbit populations growing as terms of the series of the
same noun, the ratio of a term to its preceding one tending
towards f.
The golden section is therefore intrinsic to a vast number
of natural forms and events. Thus is f
part of the human feeling of proportion, as being naturally
inscribed in the environment, in the geometric harmony, and
in the balance of the internal living forces.
All those observations determine the size of most of my canvasses.
Although their width derives from pure intuition, the proportion
between the width and the length is connected to the golden
section, so harmony can be observed and explained.
The number f defines families of
golden rectangles.
The two basic families are:
1st family:
2nd
family:
Other
families of golden rectangles and combinations of these different
rectangles can be defined, the relationship of their dimensions
being linked to the golden section (3).
The
first family possesses a remarkable geometric property:
when in such a rectangle, a square of equal length to the
width is drawn, the leftover rectangle is in the same proportions
than the initial one:
How can one fashion pictorial composition from the golden
section?
The geometric property presented above is operated in the
series called "".
The connection to the Fibonacci series is developed in the
series called "".
1. Le
nombre d'or. M. CleyetMichaud. Que saisje ? PUF.
Le nombre d'or. M. Neveux H. Huntley. Editions Seuil. Points
sciences.
2.
Nautiloids: family of cephalopod molluscs of very ancient
type, with a spiral shell divided in sections crossed through
by a long appendix (siphon).
3. Le nombre d'or. M. CleyetMichaud. Que saisje ? PUF. p.30.
Le nombre d'or. M. Neveux H. Huntley. Seuil Editions. Points
sciences. pp. 219 et ss.
