In the 13th century, an Italian mathematician named Leonardo Da Pisa (also known as Fibonacci -- son of Bonacci) described an interesting pattern of numbers. The sequence was this; 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
Notice that given the first two numbers, the remaining sequence is the sum of the two previous elements. This pattern has been found to be in growth structures, plant branchings, musical chords, and many other surprising realms. As the Fibonacci sequence progresses, the ratio of one number to its proceeding number is about 1.6. Actually, the further along the sequence that one continues, this ratio approaches 1.618033988749895 and more. This is a very interesting number called by the Greek letter phi phi. Early Greek artists and philosophers judged that a desirable proportion in Greek buildings should be width = phitimes height. The Parthenon is one example of buildings that exhibit this proportion.
Petals on Flowers
Vegetables & Fruits
The Greeks thought that this was a pleasing dimension for a building or any structure. It was not too stocky and not too thin. They called this proportion the Golden proportion.
The drawing is based on the correlations of ideal human proportions with geometry described by the ancient Roman architect Vitruvius in Book III of his treatise De Architectura. Vitruvius described the human figure as being the principal source of proportion among the Classical orders of architecture. Leonardo's drawing is traditionally named in honor of the architect..
You’ll usually find the golden ratio depicted as a single large rectangle formed by a square and another rectangle. What’s unique about this is that you can repeat the sequence infinitely and perfectly within each section.
Golden Mean or
How does this sequence of numbers continue:
0, 1, 1, 2, 3, 5, 8, 13, 21...