About

A fractal is a geometric figure that has a non-integer amount of dimensions. They have infinite detail no matter how far you zoom in, and always reccur no matter how far you zoom in.

One example of a fractal is the Sierpinski Triangle, a triangle that contains infinity copies of itself, embedded everywhere in it's interior.

If you make a square twice as large, the area is now four times larger, this is because you need to consider that you're scaling up two dimensions. By this logic, 2² = 4.

If we were to scale the Sierpinski Triangle by two, its "area" would be three times as large, this means 2ⁿ = 3. If we work n out, it would be approximately 1.6.