The Fibonacci Sequence
By Kinjal Trivedi
Did you get a chance to make Fractal design by yourselves?
In continuation to that let’s talk about the famous Fibonacci Sequence.
It’s a simple calculation of sequences we get by adding the previous numbers.
The first number we take is 1.
Second number will again be 1.
Third number will be addition of the first two numbers so now we get 2.
Fourth number will be addition of the previous two numbers again.
Now we get 2 + 1 = 3.
Fifth number will be 3 + 2 = 5
Sixth number will be 5 + 3 = 8
And so on and so forth…
The sequence we get here increases in value and creates a beautiful ascending order.
We did the math but how does it relate to art or design?
The Fibonacci Sequence
These can be used in various places such as:
A: numbers by itself.
B: drawing them in circles to create a pattern.
C: drawing those many numbers of squares to build a design of a building.
The potential is infinite.
Fibonacci numbers are related to the golden ratio, which shows up in many places in buildings and in nature. Some examples are the pattern of leaves on a stem, the parts of a pineapple, the flowering of artichoke, the uncurling of a fern and the arrangement of a pine cone. The Fibonacci numbers are also found in the family tree of honeybees.
The Golden Ratio
This Golden Ratio reflects in anything that your eyes set on and you find it intriguing because of the sense that the design layout literally pulls you into the spiral.
So whirlwinds, flowers, twisters, shells, maybe a face of the person is also a beautiful layout of the Golden Ratio.
Middle of the eyebrows usually take our attention first, then we look into the other person’s eyes, which then leads to the nose and furthermore towards the mouth and chin.
Let’s take the famous Mona Lisa Painting as an example of why we tend to look at it for a longer time. Da Vinci used the sequence with the Golden Spiral, which stems from the Perfect Rectangle. The Perfect Rectangle is formed by creating rectangles within the corresponding dimensions of 1.618, from each descending Fibonacci Number (8, 5, 3, 2, 1, etc.) The spiral comes from touching each side in the Perfect Rectangle, leading towards the eyes which seem to follow wherever you go within the proximity of the painting.
Fibonacci correlating with a painting.
We can practice making Fibonacci numbers in our sketch books or just notice them in every design elements we come across.