Illustrated Journal

Golden Ratio, Golden Mean, & Fibonacci Sequence Notes

The Golden Ratio

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Is a term used to describe aesthetically pleasing proportioning within a piece. However, it is not merely a term– it is an actual ratio. In its most simple form, the Golden Ratio is 1. It’s numeric equivalent is 1.168… which means its decimal stretches to infinity and never repeats; represented as phi. The easiest way to picture the Golden Ratio is by looking at a rectangle with a width of 1 and a length of 1.168… . Rectangles are the most clear example, but the Golden Ratio can be applied to any number of geometric forms. In a work of art or architecture if one maintained a ratio of small elements to larger elements as the ratio of larger elements to the whole, the end result extraordinary pleasing to the eye.

 

The Golden Mean

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Is basically a mathematical ratio. Logically it is used when cropping images or frames. However, there is another way to use the Golden Mean in artwork. It is to find the “Golden Points” through the Golden Mean. The golden points are places within the picture plane subjects or objects in a way that will result in a more aesthetic composition.

 

Fibonacci Sequence

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Is intimately connected with another mathematical construct, the Golden Ratio. Artist recognized that the Fibonacci Spiral is an expression of an aesthetically pleasing principle – the Rule of Thirds.

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