Mathematicians argue that fractals in 3D are limited to extruding the surface and extending the image out of a two dimensional plane. Many mathematicians think that 3D fractals aren't really 3D, they fall somewhere between 2D and 3D.
Fractal: A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. (ref. dictionary.com)
I offer you an artist's response - a computer generated mathematically derived conical flower and leaves, constructed of many smaller conical flowers and leaves, constructed from many smaller conical flowers and leaves, etc.
Lots of detail can be found in this piece, as can be seen in the closeup below.