golden ratio

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golden ratio

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 ratio has been employed in all manner of things, not the least in art, architecture, and even philosophy.

See also: golden

References in periodicals archive ?

As entertainingly explained by Vi Hart in a short YouTube series, (6) plants have evolved to grow in this fashion to maximise their cumulative exposure to sunlight - in part, by using the 'most irrational angle' defined in terms of the golden ratio. An investigation of this would be an excellent way to underline just how emphatically mathematics is the language of nature.

Cinema Science: PI AND THE RAPTURE OF COMPLEX MATHEMATICS: While its title already indicates one of its central mathematical topics of concern, Darren Aronofsky's cult paranoid thriller also offers ample prompts for senior secondary students to explore sequences, phenomena such as the golden ratio and Pythagoras' theorem, and more intricate concepts like irrational numbers and recursion, as DAVE CREWE outlines

Students were asked to seek evidence of the Golden Ratio in architecture, art, music and nature.

Fibonacci: A structured investigation

Caption: Giorgio Griffa, Canone aureo 203 (Golden Ratio 203), 2016, acrylic on canvas, 54 3/4 x 37 3/8".

Giorgio Griffa: Galleria Lorcan O'Neill

Mathematically, the golden ratio designated by the Greek letter phi (O) is defined by relative lengths [1, 2].

A Special Golden Curve in Human Upper Limbs' Length Proportion: A Functional Partition Which Is Different from Anatomy

A segment is divided according to golden ratio if the following equation is correct: (a+b)/a=a/b.

Aproximacion experimental al estudio de la belleza: El papel de la proporcion aurea

Evaluation of natural smile: golden ratio, RED or golden percentage.

EVALUATING THE VALIDITY OF MATHEMATICAL PROPORTIONS IN MAXILLARY ANTERIOR TEETH IN JORDANIAN POPULATION

This proportion--the Golden Ratio of Corporate Deal-Making--is supported by auction theory principles as well as Delaware Court of Chancery rhetoric.

The golden ratio of corporate deal-making

The golden ratio, also known as divine ratio, is equal to approximately 1.618.

A Comparison of the Relationship between the Golden Ratio and Anatomical Characteristics of the Supraorbital Foramen in Bare Skulls Belonging to the Byzantine Era and Modern Era/ Comparacion de la Relacion entre la Proporcion Aurea y las Caracteristicas Anatomicas del Foramen Supraorbitario en Craneos de la Epoca Bizantina y la Edad Moderna

Windows pull to the east, each morning a golden ratio of the day before.

Tiller North

It called for a "golden ratio" on health spending tied to Britain's gross domestic product (GDP), adding that the UK health budget is expected to be at 7 per cent of GDP by 2020 compared with 11 per cent in Germany and France and 18 per cent in the US.

NHS condition critical as patients stay too long

Bowe advises keeping the golden ratio of shoulder-to-waist size in mind when consulting male patients about ways to improve their physique.

What you need to know about aesthetics in men: the two most commonly sought procedures by men are neuromodulators and dermal fillers

They demonstrate the geometrical spiralling pattern of the Golden Ratio (further information on Fractals and the Golden Ratio can be sourced from the websites listed in the references below).

Visual literacy through science-art perspectives

Reflecting its assumed role in beauty, the solution [phi] = [1/2](1+[square roof of 5]), roughly 1.618, is called the Golden Ratio. Euclid constructed this ratio in a regular pentagon, where the longer line is an internal diagonal from point A to point C, and the shorter line is one side from point B to point C.

Greenway and the Torah Blueprint for Creation

Gustin has been influenced by a wide variety of objects and experiences; Middle Eastern calligraphy, Asian ceramics, Mimbres pottery, Moche stirrup pots, Georgio Morandi's paintings, the Golden Ratio, surfing, trips to Egypt and the Azores.