Here are some examples of using Fractal Geometry with a single flower. They are computer generated images using mathematical algorithms for the Mandelbrot and Julia sets. Basically it is a process of repeating a geometric pattern an infinite number of times each time it is smaller but identical to infinity. The process of doing so is not basic but is in range of today’s fast computers.
The Mandelbrot Set
The Julia Set
The Source
Daylilies Delight 