Title: Putting it all together
Course: Swiss Rolls and Sunflowers > Section: Sunflowers

Video

Watch the video of my online graph paper showing how those numbers are the building blocks of nature, helping to make golden spirals:

FibM.mp4

More detail

When we start with two small squares of 1, and then add a square of 2 on top  - and then add a square of 3 - and so on ...we see that each new square has its side which is the sum of the previous two squares' sides. The rectangles they make are called Fibonacci rectangles.f the

If we draw a spiral in the squares, a quarter of a circle in each square we find that  points on the spiral are 1.618 times as far from the centre after a quarter-turn. In a whole turn the points on a radius out from the centre are 1.618^4 = 6.854 times further out than when the curve last crossed the same radial line.

his is the Golden Ratio or Golden Number

Explanation

Using what you have learned, and more information from this site , write at least 100 words saying what you now understand about  the importance of the Fibonacci sequence in the building blocks of nature.