Very fun. I love how it's possible to accidentally discover something cool like this, only to realise (in retrospect) that the result is "obvious." Almost always learn something really useful from it.
That reminds me of the time I rediscovered averaging. I thought I was "inventing" a new type of averaging by imagining masses attached to a massless beam.
I started solving for a fulcrum when the torque would evenly balance. I then imagined instead of points, that I had one or more masses distributed continuously along the line, where the mass at any point along the line could be described by the area under a curve. It was only after I realized that I had calculated a centroid for the system, that it donned on me, I was actually calculating the average, as I had first done in elementary school. In short, nothing I was doing was new. I had simply discovered a new way to think about the problem that was not immediately clear when I came up with the thought experiment. In hind sight, it was completely obvious, but not before I ventured into calculus to solve this "tough" problem.