An Example :
Sierpinski
Triangle(s) : triangle of triangles
What are they ?
1. Self-similar objects
Fractal objects offer
the same characteristics at different scales...
at all scales in the mathematical sense.
An object is self-similar
... if some of its parts are like its whole,
or some parts are similar to others,
this possibly for a range of scales. 
Another Example : the "Maze"
fractal.
A famous Example : the Koch
snowflake...
infinite perimeter ... but finite area !
2. Fractional dimension
A point is a 0D object: no spatial
extent.
A line is a 1D object: extent in one direction in
space.
A plane is a 2D object: extent spanned by two directions.
A cube is a 3D object: extent spanned by 3
directions.
Fractals can have
"in-between" dimensions, e.g., 1.3..
Example : "How long is the coastline
of Britain?"
NEXT: Complex numbers and Fractals
