When it comes to Fibonacci numbers in art and how they can be used to make a painting or sculpture to be more beautiful, it is important to first understand a bit about the Fibonacci sequence in general.
Fibonacci numbers are a sequence of numbers first discovered over eight hundred years ago by Leonardo of Pisa, (also called Fibonacci, thus the name of the sequence). This sequence of numbers begins with 0, then 1, then continues with each number being a sum of the two before it. The first few numbers in the sequence then are 0, 1, 1 (0 + 1), 2 (1 + 1), 3 (1 + 2), 5 (2 + 3), 8 (3 + 5), 13 (5 + 8), 21 (8 + 13), 34 (13 + 21), 55 (21 + 34), 89 (34 + 55), and so on.
The sequence of numbers also has a lot in common with the Golden Ratio and can be used to create Golden Spirals.
So with Fibonacci numbers in art, the numbers from the sequence themselves or the ratio of one number to the one before it, (which appropriates the Golden Ratio) is used often in order to form images and objects which are inexplicably pleasing to the human eye. The Mona Lisa’s face incorporated Fibonacci numbers and the Golden Ratio, as does the Parthenon in Athens.