I wrote a short story about this fern to try to motivate the formula to the left. The geometry of the fern directly relates to rectangles with lengths that are Fibonacci numbers.
This square, 55x55 is composed of the following rectangles 1x1, 1x2, 2x3, 3x5, 5x8, 8x13, 13x21, 21x34, and 34x55. Then, I take each of fold each of the rectangles in half to create the fern. It's an interesting shape that has a different front and back.
The story is called Symposium and is still a work in progress.
The story is called Symposium and is still a work in progress.