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The Golden Mean

The Golden Mean has such a beautiful proportion and when we see it in paintings it has a “satisfying” feeling to the eyes. This is due to the Fibonacci numbers effect.

Fibonacci proportioned shell
Fibonacci proportioned shell
Spirals within spirals - Roman cauliflower
Spirals within spirals – Roman cauliflower

We can find so many examples of this in Nature; trees have branches that divide in this way, shells form spirals that conform to this template. The DNA double helix also has a similar base; we cannot help but see a Divine plan in this wonderful design.

Pineapples tend to use the 5-8-13 Fibonacci ratio
Pineapples tend to use the 5-8-13 Fibonacci ratio
Echinacea or Coneflower
Spirals in Echinacea or Coneflower
Pine cone displaying its spiral structure
Pine cone displaying its spiral structure
Fibonacci numbers in nature
Fibonacci Chamomile
Image: Alvesgaspar
Fibonacci numbers diagram
Fibonacci numbers diagram

To give an idea, the diagrams below show how it is created. The 1st square has equal sides 1 x 1. The next 1 + 1 has 2 squares side by side, the next figure is 2 x 3 so the next figure has 2 units by 3 units. The next is 2 + 3 so the next figure has sides 3 units by 5 units and so on.

Fibonacci spiral
Fibonacci spiral

Nature’s template

When a curve is drawn from one angle to the opposite angle, a spiral is created.

The Fibonacci Sequence

The Fibonacci Sequence
The Fibonacci Sequence

First recognized by Fibonacci, the sequence appears in Indian mathematics, in connection with Sanskrit.

About Fibonacci

Fibonacci
Fibonacci – Portrait by an unknown artist

Called the “greatest European mathematician of the middle ages“, his full name was Leonardo of Pisa, or Leonardo Pisano in Italian since he was born in Pisa, Italy the city with the famous Leaning Tower, about 1175 AD. Leonardo grew up with a North African education under the Moors and later travelled extensively around the Mediterranean coast. He would have met with many merchants and learned of their systems of doing arithmetic. He soon realised the many advantages of the “Hindu-Arabic” system over all the others.

He was one of the first people to introduce the Hindu-Arabic number system into Europe – the positional system we use today – based on ten digits with its decimal point and a symbol for zero.

About Judy

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Hi, I'm one of a group of authors and editors for the Sydney Goodwill website.

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