"The golden section
or golden ratio is often symbolised using the 21st letter of the Greek alphabet known as phi.
'The arabesque', he says, 'represents at once linear time and circular time, because it goes backwards while moving further forward.' Most prominently, it has led to a fascination with the Golden Section
, the never-ending (or 'irrational') number that has so occupied mathematicians from Euclid onwards, and that has engrossed so many artists and architects.
In this research, we adopted the golden section
method (GSM) as a line search tool.
Analysis of the human body based on the golden section
[x.sub.1] and [x.sub.2] are the coefficients obtained by the golden section
According to (26) and applying the golden section
method in , the optimization [[eplison].sub.(i,j)] can be achieved.
The golden ratio ([approximately equal to] 1.618), sometimes known as the golden section
or golden number, has been fascinating philosophers, scientists, and artists for more than two millennia [1-4].
Creation is suffused with underlying and deliberate structures--one example, the golden section
, is found universally, from genetic sequencing to galaxies, in the construction of flowers, insects, and the human form.
As stated by Pacioli (1509/1991), the golden section
is defined as a harmonic division of a line in extreme and mean ratio (see the top panel of Figure 1).
Introducing the golden section
rule in the architecture, the concept of the perfect proportion of the elements that constitute the spatial spherical structures has developed.
Vajda: Fibonacci and Lucas numbers, and the Golden Section
: Theory and Applications, 1989, Dover Publications, Inc., Mineola, 2008.
(2) Calculate the golden section
points of [[lambda].sub.m3] and [[lambda].sub.m4].(3) Determine whether the utilized energy efficiency [[eta].sub.m3] equals [[eta].sub.m4] and whether [[lambda].sub.m3] equals [[lambda].sub.m4].
We will prove that the complete affine fullerene [C.sub.60] can be presented only by means of the golden section
. The concept of a GS-quasigroup will be used in this consideration.