Chess geometry is not the same as physical geometry. See, e.g., https://en.wikipedia.org/wiki/R%C3%A9ti_endgame_study
Indeed, it's not even the same between pieces!
Kings have Chebysev geometry while Rooks have taxicab geometry: https://en.wikipedia.org/wiki/Taxicab_geometry#See_also
It's left as an exercise for the reader to figure out the geometry of the remaining pieces.
alt Hacker News
Indeed, it's not even the same between pieces!
Kings have Chebysev geometry while Rooks have taxicab geometry: https://en.wikipedia.org/wiki/Taxicab_geometry#See_also
It's left as an exercise for the reader to figure out the geometry of the remaining pieces.