# Math Help - geometry- fractals

1. ## geometry- fractals

Could time be a fractal? So, if I dropped a ball, the time it would take to hit the ground would be infinite? Similar to the fact that a coast line is "infinite?"

2. I have no idea what you could mean by "could time be a fractal". Sets are "fractal", not variables. "Time" is a variable, not a set. In any case, it is fairly easy to calculate exactly when a falling object will hit the ground, even in the more complicated cases including air friction.

3. I wonder... can't time be thought as a set?

An index set like $\mathbb R$.

Something like $Time=\{\text{the set of all instants}\}$

4. Yes, and in that case, it will be an interval, not a fractal set.