Define "pure stalemate" as a position where the player is not in check, and has no legal moves, even without considering whether a move would place them in check. (So every piece is blocked by pieces of the same colour).
Define "double pure stalemate" as a position where regardless of which player's move it is, that player would be in pure stalemate.
Question: Is it possible to reach double pure stalemate in a normal game of chess? (And if so, prove it...)
I can construct a position of single pure stalemate, which I think is probably reachable, although possibly not. (It's not obviously not achievable).
However, mirroring that position does not quite work as it requires 4 pawn captures to achieve and there are only 3 pieces missing from the opposing side.
Note: I prefer the term “smothered” because “pure” has another technical meaning for problem mates and stalemates.
– Laska Mar 10 '24 at 06:02