I honestly think your experiment made me more temporarily confused than an informal argument would have, but this was still pretty interesting by the end, so thanks.
Yeah I agree that with hindsight, the conclusion could be better explained and motivated from first principles, rather than by running an experiment. I wrote this post in the order in which I actually tried things as I wanted to give an honest walkthrough of the process that lead me to the conclusion, but I can appreciate that it doesn’t optimise for ease to follow.
I honestly think your experiment made me more temporarily confused than an informal argument would have, but this was still pretty interesting by the end, so thanks.
Yeah I agree that with hindsight, the conclusion could be better explained and motivated from first principles, rather than by running an experiment. I wrote this post in the order in which I actually tried things as I wanted to give an honest walkthrough of the process that lead me to the conclusion, but I can appreciate that it doesn’t optimise for ease to follow.