Fibonacci sequence & the Golden ratio

Fibonacci sequence is series of numbers in which each number is the sum of two preceding numbers. example: 0,1,1,2,3,5,8,13 etc.

So why should we care about this?

It is very interesting because the sequence is used by nature resulting in Golden Ratio.

Highlight here I’d like to point out is that Golden Ratio is not agreed upon concept or a design fad like rounded corners or 45 degree boxes, it is aesthetically pleasing division of space that has remained so without human interference.

We literally have no control over it. When we see something with this ratio we automatically “like it” and are attracted to it, just like to proportions. It invokes joy and inner satisfaction.

Personally I like to also visualize 0 in the sequence, since second number is same as first because 1+0 = 1 and this is the only time when the next number is same as previous one.

Can you create Fibonacci sequence visually by yourself?

Sure! the first block you draw make it 1:1 ratio (or 100x100px) second block would be the same. But the third block would be the sum of previous two times two , so (1+1) x 2. (2 x 200px).

FIbonacci sequence calculation

golden ratio curve

How is Fibonacci Sequence tied to Golden Ratio

Fibonacci ratio between the sums exponentially grows closer to a Phi 1.618 the Golden Ratio. We witness in nature and has been used by artists and architects for centuries.

 

Golden Ratio Phi 1.618 Expansion

You’ll notice Phi ratio does not have two cubes 1,1 as starting point. It’s infinitely 1.618 down the rabbit hole.

phigoldenratio
Phi 1.618 ratio

 

Example of Phi divided page would look like this

phi1618

Parthenon was built in 447 BC with Golden Ratio

Parthenon Phi 1.618
Parthenon Greece, built 447 BC

 

I try to use this ratio as much as possible in my designs.

business card golden ratio

 

logo goldenratio

Discuss