There are many examples of fractals in everyday life. Snowflakes and coastlines are two of the most readily available examples.
All fractals contain the element of self-similarity.
That is, when looking at the entire thing, there is a definite pattern or shape to it. When a portion of it is magnified, it becomes a carbon copy of the whole, only on a smaller scale. Each time that a portion is magnified, the shape of the larger thing can be seen in the magnified portion. For example, when viewing a coastline from a long distance away, there can be seen many different inlets and bays and other features. If one smaller portion of that coastline is looked at and magnified, similar inlets and bays can be seen in it.