Calculus deals with things that are sufficiently smooth on a small scale, and thus converges. For example, approximating a circle with smoother and smoother polygons. The length of those polygons will converge to the circumference of the circle.
The coastline paradox is the classic example of a fractal; the dimension of a fractal is actually greater than that of the space it lives within!
The coastline paradox is the classic example of a fractal; the dimension of a fractal is actually greater than that of the space it lives within!