Underpromoting to a bishop

In Counterplay, someone mused over the fact that there seems to be little chance of needing to under promote to a bishop.

I’ve seen at least one contrived position in which under promoting to a bishop was needed for a mate in 3, if I recall. That being said, just about anybody could easily see that promoting to a queen assured a mate in 5. I suppose the position was created so that it couldn’t be solved by a chess engine.

I’m sure there are plenty of ways to contrive positions which under promoting to a bishop prevents stalemate, or allows a faster line of winning play. But I suspect in actual chess games, excluding errors due to time pressure, assuming an average chess player or higher skilled, it would be rare to have to under promote to a bishop in order to assure a victory.

Hold a (non-rated) tournament with throwback rules that disallowed a player from having multiple queens (bigamy) and you’d see more underpromotions of all three types.

I’ve seen an IL state K-8 final round board one game where underpromotion to a rook let the player force mate in two (winning the state championship) while promotion to a queen was stalemate (with a player on a different board getting the championship on tie-breaks). There are probably similar cases with the bishop (and admittedly as rare as you already indicated they would be).

One page on Tim Krabbé’s website contains several examples of underpromotions to a bishop.

What if a player already has a queen, two rooks, two knights, and two bishops? What does he promote to in that case, to avoid bigamy, trigamy, trigamy, and trigamy, respectively?

Bill Smythe

I don’t think that kings generally marry bishops.

Alex Relyea

I had the craziest game I’ve ever played at the 2012 US Open in Vancouver, WA where promoting to a bishop isn’t necessary but would have been just as good as promoting to a queen. Here is the game:

Donald Poston-Micah Smith (2012 US Open round 5, 4-day schedule)

1.Nf3 d5 2.e4 (the so called Tenneson Gambit, a king of reversed Budapest Gambit) 2…dxe4 3.Ng5 Bf5 4.d3 exd3 5. Qf3 dxc2 6.Nc3 Qc8 7.Bc4 Nh6 8.Nb5 c6 9.Nd4 Bg6 10.Bf4 Nd7 11.Nge6 fxe6 12.Nxe6 Bf5 13.Nc7+ Kd8 14. Be6 Ne5 15.Rd1+ and now I played 15…cxd1=Q+ but 15…cxd1=B would have been just as good!

Reshko vs Kaminsky, 1972 Leningrad Championships.

1.c4 Nf6 2.Nc3 e5 3.Nf3 Nc6 4.g3 d5 5.cxd5 Nxd5 6.Bg2 Nb6
7.O-O Be7 8.a4 a5 9.b3 O-O 10.Bb2 Be6 11.Nb5 Bf6 12.Rc1 Qc8
13.d4 Rd8 14.e4 exd4 15.e5 Be7 16.Nfxd4 Nxd4 17.Bxd4 c6 18.Qe2
Nd5 19.Bb2 Nc7 20.Nd4 Bd5 21.f4 Bxg2 22.Kxg2 Bb4 23.f5 c5
24.e6 cxd4 25.Qe5 Bc3 26.Bxc3 f6 27.Qe2 dxc3 28.Rxc3 Rd6
29.Rd1 Rc6 30.Rcd3 Ne8 31.Qh5 Rc7 32.Rd7 Rxd7 33.exd7 Qd8
34.Qf3 Nc7 35.Qxb7 Kf8 36.Rc1 Qxd7 37.Rxc7 Qd2+ 38.Kf3 Qd1+
39.Kf4 Qd4+ 40.Qe4 Qd6+ 41.Kg4 Re8 42.Qc4 Re4+ 43.Qxe4 Qxc7
44.b4 axb4 45.Qxb4+ Kg8 46.a5 h6 47.a6 Kh7 48.Qd4 Qa5 49.a7
Qa6 50.Kh4 Qa2 51.h3 Qa5 52.Qd7 Qb4+ 53.Kh5 Qa3 54.Kg4 Qe3
55.h4 Qe4+ 56.Kh5 Qf3+ 57.g4 Qe4 58.Qf7 Qc6 59.Qe7 Qd5 60.Qe8
Qb7 61.a8=B Qb3 62.Qd7 Qg8 63.Bd5 Qf8 64.Bf7 Kh8 65.Qe8 Qxe8
66.Bxe8 Kh7 67.Bf7 Kh8 68.Kg6 h5 69.Kxh5 Kh7 70.Be8 Kg8 71.Kg6
1-0

Promotion to a bishop gives white a mate in 12. Promotion to a knight gives a long draw. Promotion to a queen or rook gives a quick stalemate. Anything other than promotion gives a draw or loses.

Neither does anybody else.

Bill Smythe

Beautiful!

Quite true, but I’m sure there have been many times that bishops have married kings.

I hope I’m remembering the position correctly:

White to move and mate in 5.

Bill Smythe

I can readily see it if the e2 and e4 pawns are on f2 and f4 (…f3 rather than …e3 does not block the c1-h6 diagonal).

Although I’m not sure I’m remembering the position correctly, I am sure what the intended solution is. Your proposed change (with pawns on f2 and f4 instead of e2 and e4) would cook the intended solution.

I’m also sure that the c1-h6 diagonal is irrelevant to the intended solution.

Bill Smythe

The position is correct. (Could it be 35 years ago that you showed this to me? I do remember that it was at Jules Stein’s.)

It’s a chestnut. I’ve never been able to track down the original source. I first saw it at the old No Exit Café, where John Tyler (and a few others, including masters) were trying mightily to solve it. Finally, I made one flippant suggestion, which turned out (inadvertently) to lead directly to the part of the answer they hadn’t found yet. If I say any more, I’ll give it away.

Sam Loyd, maybe?

Hint: The title of this thread is relevant.

It’s a completely legitimate problem, in all the classical senses. For example, there is only one solution. There may be different branches depending on black’s response to each move, but to each such, there is only one white move which still leads to mate in 5.

Also, every piece and pawn (except the white king, I suppose) is essential to the problem, either by being part of the solution or by preventing multiple solutions (cooks).

The exact position of the white king may not be important. Also, I think the h-pawns could be on h3 and h5 instead of h2 and h4, without changing the solution. And it may be that the white bishop at h8 was actually on g7 in the original.

Bill Smythe

You really have too much time on your hands…

The h-pawns need to be where they are.

I generally hate problems as too artificial. But this problem is worth the time!

Found it via the search function in http://www.yacpdb.org/

Wolfgang Pauly, Münchner Neueste Nachrichten, 1909.

White’s bishop is on g7 rather than h8 in the original, as you guessed might be the case.

Are you sure? It seems to me the same white moves (especially in that part of the solution relating to the original thread title) work either way.

Of course, you won’t be able to respond to that question without giving away (much of) the solution.

Good grief! How on earth did you find it? You must have used the “exact material” option. (That might not have worked, had I misremembered the position even slightly.)

Bill Smythe

Just kings and h-pawns :slight_smile:

One of the solutions would have a dual if the h-pawns were on different squares.