14

stalemate max

Here, white is stalemated. The king is not in check, but white has no legal moves. Not because any move white makes would put the king in check -- which is how stalemates normally happen -- but because no white piece can move at all, even if we temporarily ignore the no-self-check rule.

(Black is not stalemated: king takes bishop.)

Now, this example is a bit wasteful, 62 white pieces plus the two kings. Also, it can't be reached from the starting position.

Come up with an example, using the fewest pieces (total both sides). Can it actually be reached from the starting position?

Small hint:

there is essentially only one answer. [EDIT: OP screwed up]

deep thought
  • 5,158
  • 1
  • 17
  • 48
  • 12
    If I'm black in the above example, I think I'm happy with the draw. – Jafe Oct 19 '18 at 20:24
  • Now for another challenge: produce a legal position where both sides are likewise stalemated [so that even being forced to move into check would be a loss, and a player could pass if no pieces could move at all, the game would be drawn]. – supercat Oct 19 '18 at 21:18
  • @supercat - if you want to post part 2, go for it! – deep thought Oct 19 '18 at 21:23
  • 1
    @deepthought: I actually did, quite some time ago, but on a different SE board: https://chess.stackexchange.com/questions/4836/is-it-possible-to-have-a-double-self-smothered-stalemate – supercat Oct 19 '18 at 22:34
  • @supercat - ah nice, thanks for the link – deep thought Oct 19 '18 at 22:57

3 Answers3

14

Here are my first idea (both sides are essentially the same answer, so the hint fits too):

enter image description here

Both positions seem to be independently reachable by a legal game. It might be possible to find a legal game leading to the whole position too, but that would take a bit of time.

Before that, I'm going to double check for any simpler solutions. :-)

Since OP commented that only one side needs to be stalemated in this rigorous fashion, this should do the trick:

enter image description here

Bass
  • 77,343
  • 8
  • 173
  • 360
10

How about

enter image description here

I think that's an alternative 6+1-piece solution.

Bass
  • 77,343
  • 8
  • 173
  • 360
supercat
  • 2,235
  • 9
  • 22
6

The general idea is

To fill the 8th rank with major pieces which block pawns from advancing, and fill the 7th rank with pawns which block the pieces from moving. We can't have knights on the 8th, though, because they would still have 6th rank squares available.

Here's a solution with 14 pieces total.

Promote three pawns to two rooks and a bishop.

enter image description here

Jafe
  • 78,615
  • 8
  • 162
  • 614