Golden Ratio Calculator

What is the Golden Ratio?

The golden ratio, also known as the golden section or golden mean, is a mathematical concept that describes the ratio of two quantities in a way that is considered pleasing to the eye in art and design. It is defined as the ratio of the larger quantity to the smaller amount, approximately equal to 1.6180339887. To calculate the golden ratio for a specific set of measurements or dimensions, you can use the formula: (a+b)/a = a/b = 1.6180339887. A and b are the two quantities in the golden ratio.

Why do you want to use the golden ratio in your projects? 

The main reason to bring the golden ratio methodology into any design object is simple - your final result will be much more visually attractive.

Golden Ratio Calculator

The calculation of object sizes in your design project driven by the golden ratio methodology is next - you use a 1.6 multiplier or proportion between two sides of the related object(s).

Below are a few Golden Ratio Examples.

Golden ration calculation in this case:

A/B=(A+B)/A=1.618 = Golden Ratio


Three scenarios:

1) How can we find A and B when (A+B) is known?

The answer is
 
A=(A+B)/1.618
B=A*0.618

Take for example 
A+B=100 mm
then
A=100/1.618=61.80 mm
B=61.80 * 0.618= 38.192 mm

2) How can we find side A when side B is known?

The answer is
 
A=B*1.618

Take for example 
B=32 mm
then
A=32*1.618=51.78 mm

3) How can we find B when A is known?

The answer is
 
B=A/1.618

Take for example 
A=70 mm
then
B=70/1.618=43.26 mm

Golden Ratio Daily Life. Examples.

Golden Ration In Art

The Mona Lisa is a portrait painting by artist Leonardo da Vinci.

fig 1 Golden Ratio and Mona Lisa

Golden Ratio and logo design

fig 2 Golden Ration. Logos: Apple, Pepsi, Google, BP

Golden Ratio in Web Design

In web design, the golden ratio is often used to determine the ideal proportions of elements on a webpage, such as the layout's width and height, column size, and spacing between elements. The resulting design will be aesthetically pleasing and visually balanced by adhering to the golden ratio.

Interestingly, the Golden Ratio is also called the Divine Proportion; Fibonacci numbers also relate to this ratio. The Fibonacci series (1,1,2,3,5,8,13,21,34,55...) has a mathematical connection to the Golden Ratio.

You don't have to use the Golden Ratio to design a website; it's a guide. The designer can choose the best proportions for their design to make it more visually appealing.

Golden Ration in the Human Body

fig #2 Golden ratio in the human face

Thx
@iamlucid
@joehowarddesign

Golden Ratio. Math and Nature.

Thx 
@vihartvihart Mathematician and Virtual Reality Philosopher