Yes.
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Fractals are a special kind of curve. They are space filling curves and have dimensions that are between those of a line (D = 1) and an area (D = 2).
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
There are infinitely many fractals so no list can exist.
Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.
Fractals that which includes the fourth dimension and with which we can identify that our body's veins and nature are self similar.