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.
Award Winning Artist Juried Member; Arizona Art Alliance Juried Member; EBSQ Plus, Self-Representing artists
Best of Show (120 entries) First Place (165 entries Featured Member on Imagekind (several times)
Creating art is - for me - a true give and take between what I attempt to do and what the evolving piece makes me do. Often, when I try to push the art in one direction, it responds differently and makes me take it in another. The art itself surprises me, and it directs me into the area it wants to be taken, rather than accepting what I try to make it do. And so I let myself go and the art takes over and the evolution excites, surprises and amazes me. I love it!
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