Want to make creations as awesome as this one?

Transcript

The Golden Ratio. The Fibonacci Sequence.

Students: Apostolescu Ștefania Bulf Alice Tania Istrate Alexandru

What is the Golden Ratio?

Putting it as simply as we can, the Golden Ratio exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.

Images: Golden Ratio or Rule of Thirds

The composition is important for any image to create an aesthetically pleasing photograph. The Golden Ratio can help create a composition that will draw the eyes to the important elements of the photo.

It's true that the Fibonacci sequence is tightly connected to what's now known as the golden ratio (which is not even a true ratio because it's an irrational number).

The Fibonacci Sequence

The Fibonacci sequence is one of the most famous formulas in mathematics. Each number in the sequence is the sum of the two numbers that precede it. So, the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.

While this series of numbers from this simple brain teaser may seem inconsequential, it has been rediscovered in an astonishing variety of forms, from branches of advanced mathematics to applications in computer science, statistics, nature, and agile development.

The Importance of the Fibonacci Sequence

Interesting Example of the Golden Ratio in Nature

Seed heads

The head of a flower is also subject to Fibonaccian processes. Typically, seeds are produced at the center, and then migrate towards the outside to fill all the space. Sunflowers provide a great example of these spiraling patterns.

Interesting Example of the Fibonacci Sequence in Nature

Tree branches

The Fibonacci sequence can also be seen in the way tree branches form or split. A main trunk will grow until it produces a branch, which creates two growth points. Then, one of the new stems branches into two, while the other one lies dormant. This pattern of branching is repeated for each of the new stems.