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©2018 BY AUSTRALIAN ART HISTORY/Andrea Hope

Golden Ratio

The Golden Ratio is a mathematical ratio based on the Fibonacci sequence. It is found commonly in nature and, similar to the rule of thirds, is considered to be aesthetically pleasing to the eye.

 

Also known as the divine proportion, the golden ratio describes a rectangle with a length roughly one and a half times its width (1.618) Many artists and architects have fashioned their works around this proportion. For example, the Parthenon in Athens and Leonardo da Vinci’s painting Mona Lisa are commonly cited examples of the ratio.

 

 

Fibonacci Sequence

 

The Fibonacci Sequence is the series of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

 

The next number is found by adding up the two numbers before it.

 The 2 is found by adding the two numbers before it (1+1)

  • Similarly, the 3 is found by adding the two numbers before it (1+2),

  • The 5 is (2+3)

and so on indefinitely!

If you divide a line into two parts so that:

 

the longer part divided by the smaller part

is also equal to the whole length divided by the longer part then you will have the golden ratio.

Explained simply, start with a rectangle which is drawn to a ratio of 1:1.618.

 

If you draw a line inside the rectangle to form a perfect square, the remaining rectangle will have the same ratio as the main rectangle.

 

You can keep doing this over and over forever.

Introduction to Modern European Art
Introduction to Modern European Art

The Panthenon

Introduction to Modern European Art

The Golden Ratio can be applied to any number of geometric forms including circles, triangles, pyramids, prisms, and polygons.

Rembrandt, Self Portrait,1640  

 

 

Leonardo da Vinci, Mona Lisa, c 1517

Introduction to Modern European Art

George Seurat, "Bathing at Asnières", 1883-84

 

Introduction to Modern European Art
Introduction to Modern European Art

Rule of Thirds

 

You may wish to view this video about the Golden Ratio

 

youtube videos https://www.youtube.com/watch?v=fmaVqkR0ZXghttps://www.youtube.com/watch?v=kkGeOWYOFoA#t=102

Golden Ratio