THE GOLDEN RECTANGLE

by Nikhat Parveen, UGA

__
The Golden Rectangle__

* “Symmetry
is a proper agreement between*

*
the
members of the work itself, and relation*

*
between the different parts and the whole*

*
general scheme..."
*

*
Vitruvias *
(*De
architectura - I, ch. II*)

**
**

**
The Golden Rectangle is
said to be one of the most visually satisfying of all geometric forms;**
The Golden Rectangle, whose length and width are the segments of a line divided
according to the Golden Section, occupies an important position in painting,
sculpture, and architecture, because its proportions have long been considered
the most attractive to the eye.

It is believed that the most visually pleasing dimensions are found in a rectangle whose length: width ratio is equal to Phi.

The construction of golden rectangle can be viewed using GSP.

First constructed by Pythagoras in the 6th Century BCE, Golden Rectangles can be formed easily by using adjacent terms of the Fibonacci series.

The ratio between successive Fibonacci numbers is approximately Phi. Knowing this, we can create a rectangle of Golden proportions by using a Fibonacci number, F(n), as the length, and the preceding Fibonacci number, F(n-1), as the width.

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