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Information about Golden Mean

Published on May 10, 2008

Author: visual_think_map

Source: slideshare.net

this is a great bit of research examples the explain where the golden mean occurs in nature, humans, archtecture for composition.

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Commonality What have the following got in common? The Parthenon Mondrian’s paintings the arrangement of teeth the population growth of rabbits Courbusier’s architecture

What have the following got in common?

The Parthenon

Mondrian’s paintings

the arrangement of teeth

the population growth of rabbits

Courbusier’s architecture

INCE earliest history, man has continued to develop his sense of proportion in the shaping of his world. With the development of mathematics (the measuring of objects and space), early design began the arrangement of objects in harmonious relationship to each other and the space they occupied.

1 1.618 1 1.618 Plan of the Parthenon

Courbusier

The calipers are arranged so that the ratio of the larger to the smaller is exactly 1.618:1.00. This is the Golden mean Mondrian

Kees van Prooijen a three dimensional GM

The height to width ratio is again based on the golden mean Da Vinci’s La Giaconda

Human anatomy has strong connections to the Golden Mean.

To construct the Golden Mean take a one by one square, repeat it. Create a two by two square on one edge. Then the three by three, etc. The whole set follows what is called a Fibonacci series

Tracing out the natural curve creates the nautilus shell shape

In the Nautilus shell the ratio of each segment to the next is; 1.618:1 Again the golden Mean.

Rabbits multiplying create the Golden Mean Ratio

The spirals in this plant follow precisely the golden mean curve. This occurs because they are arranged at 360/1.618 degrees to each other

Try tracing spirals in this pine cone. There are both clock-wise and anticlock-wise spirals available

Try tracing spirals in this pine cone. There are both clock-wise and anticlock-wise spirals available

Eight clock-wise spirals in the pine cone.

Eight clock-wise spirals in the pine cone.

There are 13 anti-clockwise spirals in a pine cone 13/8 is an approximation to the Golden section

There are 13 anti-clockwise spirals in a pine cone

13/8 is an approximation to the Golden section

Dynamic Symmetry In the twentieth century two people played primary roles in the revival of the golden section as a design element. One was Jay Hambridge, and author and art instructor, whose book, Elements of Dynamic Symmetry' was first published in 1920. The other was Le Corbusier, an authentic genius of twentieth century design, who developed our first clearly identifiable design system called the Modulor.

Fashion The golden mean gauge shows that the dominant landmarks are in the golden proportion

Even “perfect” teeth tend to the ratio of the golden mean.

The four front teeth, from central incisor to premolar are the most significant part of the smile and they are in the Golden Proportion to each other.

When written freehand we tend to design letters so that the intersections are in the ratio of the Golden Mean. To a greater or lesser degree of accuracy. Using examples of your freehand typography designs estimate the ratio.

The size of the top loop is in proportion to the bottom loop.

The golden ratio also is called the golden mean or golden section ... Golden Ratio, Golden Triangles, Golden Spiral; Weisstein, Eric W., "Golden Ratio", ...

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In philosophy, especially that of Aristotle, the golden mean is the desirable middle between two extremes, one of excess and the other of deficiency.

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noun 1. the perfect moderate course or position that avoids extremes; the happy medium. 2. golden section.

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Seen and Heard. What made you want to look up golden mean? Please tell us where you read or heard it (including the quote, if possible).

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Golden Mean Line Cutter schwarz . 17,99 EUR. incl. 19 % MwST. exkl. Golden Mean Rod Post grau. GM Golden Mean Rod Post, Farbe grau. 17,99 EUR.

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Golden mean or "middle way" is an ancient concept described in various traditions. The concept was often discussed within ethical contexts and considered ...

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The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in ...

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golden mean n. The course between extremes. golden mean n 1. the middle course between extremes 2. (Art Terms) another term for golden section gold′en ...

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The Golden Mean: I have always been fascinated by ancient mathematical rules and how they have been applied in design.

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The Golden Mean is a very specific geometric mean. In the geometric mean above, we see the following lengths of line segments on the number line:

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