the golden section


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golden section

A division in a line such that the proportion of the whole to the larger area is equal to the proportion of the larger area to the smaller one. The mathematical golden section has been employed in all manner of things, not the least in art, architecture, and even philosophy.
See also: golden, section

the golden section

the division of a line so that the whole is to the greater part as that part is to the smaller part.
This is a mathematical term for a proportion known since the 4th century and mentioned in the works of the Greek mathematician Euclid. It has been called by several names, but the mid 19th-century German one goldene Schnitt , translating Latin sectio aurea , has given rise to the current English term.
See also: golden, section
References in periodicals archive ?
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.
2] are the coefficients obtained by the golden section method.
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.
The geometry of external material of the wall, DektonA, forms a contemporary fractal pattern related to the Golden Section.
The Fibonacci Sequence and the Golden Section in Electrical Engineering and Numerical Analysis
For more contemporary flavor, the company tackles Twyla Tharp's athletic The Golden Section.
in their growth," (3) a concept that resonates in Rockburne's love of dance and its similarities with the Golden Section.
Zuffi, an art historian and author, presents double-page spreads of important paintings to explain many key concepts in Renaissance art, from perspective to the golden section to fresco to symbolism.
The ancient Greeks used the Golden Section as the perfect proportion for sculpture and architecture.
Chapter five poses similar problems, glossing through relationships between the Golden Section and the influences of Poe and Hokusai on Debussy, all in ten pages.
Ukrainian mathematician and engineer Stakhov draws on his four decades of research into Fibonacci numbers and the Golden Section to set out the fundamentals for a new specialty of mathematics, one he believes will eventually revolutionize both the understanding and teaching of mathematics.
mws for implementing the Golden Section minimization and the direct solution of S'(k) = 0.
Le Corbusier praised the timeless geometric beauty of the Golden Section, the same proportions that had excited everyone from Vitruvius and Leonardo da Vinci to Leon Battista Alberti and the realist landscape painters of the Italian Renaissance.
You can do it instinctively, but the golden section is a dividing line between two unequal parts, yet it still retains a sense of balance.
The golden section method requires no information about the derivative of the function.