THE GOLDEN RECTANGLE

by Nikhat Parveen, UGA

 

 

The Golden Rectangle

                                                                     ôSymmetry 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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