golden section


Also found in: Thesaurus, Idioms, Encyclopedia, Wikipedia.

golden section

n.
A ratio, observed especially in the fine arts, between the two dimensions of a plane figure or the two divisions of a line such that the smaller is to the larger as the larger is to the sum of the two, a ratio of roughly three to five. Also called golden ratio.

golden section

or

golden mean

n
(Art Terms) the proportion of the two divisions of a straight line or the two dimensions of a plane figure such that the smaller is to the larger as the larger is to the sum of the two. If the sides of a rectangle are in this proportion and a square is constructed internally on the shorter side, the rectangle that remains will also have sides in the same proportion. Compare golden ratio

gold′en sec′tion


n.
a ratio between two portions of a line, or the two dimensions of a plane figure, in which the lesser of the two is to the greateras the greater is to the sum of both: a ratio of approximately 0.618 to 1.000.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.golden section - the proportional relation between two divisions of line or two dimension of a plane figure such that short : long :: long : (short + long)
golden mean
proportion - the quotient obtained when the magnitude of a part is divided by the magnitude of the whole
Translations
sezione aurea
Mentioned in ?
References in periodicals archive ?
"This piece is governed by Fibonacci numbers (a series of numbers created by adding up the two numbers before it) and a golden section (a special number which can be found by looking at the ratio of two Fibonacci numbers).
Transcendent complexity; ARTS & CULTURE Wine glasses, a poetic vision of heaven and the mathematics of perfection all come together in Paul Mealor's new composition, writes Jenny White..
'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.
A STEADY RHYTHM
Analysis of the human body based on the golden section
Analysis of Students' and Tram Drivers' Body Ratios in Order to Simplify the Control Panel Design
More importantly, for the first time, two new estimation algorithms are proposed to improve a way of finding an optimal step size by incorporating a golden section method (GSM) into general routine of both DFP and BFGS.
Performance Comparison of Mode Choice Optimization Algorithm with Simulated Discrete Choice Modeling
[x.sub.1] and [x.sub.2] are the coefficients obtained by the golden section method.
Golden sine algorithm: a novel math-inspired algorithm
For a given [P.sub.(i,j)], [[phi].sub.i,j] and [tau], a joint resource allocation scheme for [P.sub.(i,j).sup.S 3] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] to maximize [R.sub.(i,j) is proposed where the [P.sub.(i,j).sup.TS 2] and [P.sub.(i,j).sup.TS 3] can be easily obtained by golden section method to search a optimal [[eplison].sub.(i,j)].
Joint resource allocation scheme for OFDM Wireless-Powered Cooperative Communication Networks
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].
A Special Golden Curve in Human Upper Limbs' Length Proportion: A Functional Partition Which Is Different from Anatomy
Taking amplitude difference into account, golden section method is applied to seek an appropriate amplitude factor.
Multiband Radar Signal Coherent Processing Algorithm for Motion Target
In order to find the optimum, one of the fastest methods of one-dimensional optimization, the so-called "Golden Section Search," is applied.
Simulation-Based Early Prediction of Rocket, Artillery, and Mortar Trajectories and Real-Time Optimization for Counter-RAM Systems
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.
Beyond depiction: Sophie Hacker gives an introduction to sacred geometry in the Christian tradition and in her own artistic practice
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).
Aproximacion experimental al estudio de la belleza: El papel de la proporcion aurea

Dictionary browser ?
Full browser ?