In general it refers to objects with Hausdorff dimension exceeding the topological dimension.
The attractor of the Hénon map provides one example, and the trajectory of a particle undergoing Brownian motion provides another. In general it refers to objects with Hausdorff dimension exceeding the topological dimension. Dividing an equilateral triangle into four smaller ones, removing the middle one, and repeating the process on the remaining ones, one obtains another example of them, the Sierpinski gasket. The Koch snowflake is another example of, for 10 points, what word coined by Benoit Mandelbrot for shapes exhibiting self-similarity?
The attractor of the Hénon map provides one example, and the trajectory of a particle undergoing Brownian motion provides another.
{fractal}