The Fibonacci series
The Fibonacci series of numbers starts with the
numbers {1, 1}. Each next number is the sum of the previous two numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, etc.
With this pattern we can make some interesting graphs.
When we compute the ratio of a Fibonacci number to its previous number; e.g., 13/8 or 21/13,
we find that as the numbers get larger, the ratio converges on what is known as Φ (phi) or the Golden ratio:
1.618... Therefore, the spiral shown above is known as the Golden spiral.
The Fibonacci series and hence, the golden spiral can be found in many places in nature.
For some interesting extensions of this, refer to this video.
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