I like the concept you are proposing here like "Are fractals alive". I dont think fractals are alive as they need you to execute them. When I think about this

I like the concept you are proposing here like "Are fractals alive". I dont think fractals are alive as they need you to execute them. When I think about this I see there is a difference between the equation of a fractal which is like a description of it and the actual fractal which exists after somewhere the equation is executed. Here the equation is like DNA and fractal itself like a cell. Self replication in this case would be a property of the fractal itself. Self reproducing means they can execute the reproduction part themselves or at least this is how I see it.