Fabulous Fibonacci

No study of plants is complete without a sojourn into the magical mathematical mystery that "rules" nature -- the Fibonacci sequence.

As usual, we started with a question:
In the sequence 0, 1, 1, 2, 3, 5, 8, 13 - what number would come next? Can you identify the pattern?

We watched Vi Hart "doodle" the sequence: https://www.khanacademy.org/math/math-for-fun-and-glory/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-1-of-3

Then jumped in ourselves.
We drew the spiral on graph paper:

Looked for spirals on cones to see if they were Fibonacci numbers:

And some of us did the math to continue the sequence:

Beautiful Fibonacci!