Learning Re-enforcement 1
The Golden Ratio Manifests in Pinecones
The seed pods or leaflets of a pinecone are also arranged in a similar spiral arrangement. The
pinecone's scale-containing seed develops along intersections where two spirals that are growing
upward in opposite directions in 3D space connect. A pair of subsequent Fibonacci numbers will
almost always be the same as the number of steps. The Fibonacci sequence typically ends with two
adjacent values if you count the number of spirals moving to the right, then count the number of
spirals moving to the left. For example, the rear meeting point of a 3-5 cone is reached after three
steps along the left spiral and five steps along the right spiral. If you take a pair of next -door Fibonacci
numbers and divide the bigger ones by the smaller ones, you get an approximation to a number called
the golden ratio. That is why the golden ratio is seen in a pinecone.
