Graphing Roomba Paths
The paths traced out by these self-starting sweepers could provide a novel approach to random walking. And I wonder how much of the movement algorithm can be reverse-engineered simply by looking at a collection of paths?
It might be fun to perform experiments with roombas. For example, we could try to determine how long it takes one to completely traverse a floor, or how many times on average they pass through a given point. Or if working in tandem, what is the probability that two roombas collide?
Of course, we’d have to address the ethical issues of experimenting on roombas without their consent.