Generally spoken, so-called “fractal” objects are objects that reproduce themselves on a more or less large scale, and this infinitely. These objects can be obtained from simple elements, through curves or sets of dots.
There are various definitions of fractals. Some of these definitions are complicated fractal mathematics and some are definitions for non-experts like me. Therefore, I will be able to give you only an explanation of self-taught basic fractal geometry since I started creating fractals in late 1999.
There are two main features to fractals. One feature is all fractals exhibit self-similarity at all scales. This self-similarity may be strict or loose. Strict fractal self-similarity is rare in nature and may be non-existent.
Let me try and explain loose self-similarity a little further. Imagine you’re in the kitchen and prepare a whole cauliflower for dinner. So what do you do? First, you break off a big branch from the whole cauliflower. What do you see now? You see a small cauliflower which looks similar i.e. loosely self-similar to the whole cauliflower you had a moment ago.