Smart answer:

Your search for What are fractals returned the following results:

geometric patterns that repeat themselves on smaller and smaller scales

Fractals are geometric patterns that repeat themselves on smaller and smaller scales.

objects with irregular curves or shapes

Fractals are objects with irregular curves or shapes. '

any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same size

Fractals are any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same size.

self-similar mathematical objects, where the similarities occur at different sizes

Fractals are self-similar mathematical objects, where the similarities occur at different sizes.

shapes that appear similar at different scales

In the field of geometry, fractals are shapes that appear similar at different scales.

never-ending patterns that tend to be infinitely complex that also tend to be self-similar at different scales

Fractals are never-ending patterns that tend to be infinitely complex that also tend to be self-similar at different scales.

geometric patterns which can often be generated procedurally

Fractals are geometric patterns which can often be generated procedurally.

Source:

images of dynamic systems - the pictures of Chaos

Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos.

Source:

complex geometric shapes that contain never-ending patterns

In mathematics, fractals are complex geometric shapes that contain never-ending patterns.