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Niels Høeg, 1905
a b c d e f g h
a7 white rook
e6 black king
f6 white pawn
g6 white pawn
d5 black pawn
e5 black pawn
f5 black pawn
d4 white bishop
f4 white pawn
b3 white king
d3 white pawn
f3 white pawn
7 7
6 6
5 5
4 4
3 3
2 2
1 1
a b c d e f g h
Mate in three

Allumwandlung (German for "complete promotion", sometimes abbreviated AUW) is a chess problem theme where, at some stage in the solution, a pawn (or sometimes pawns) is promoted variously to a queen, rook, bishop, and knight. Allumwandlung's main requirement is promotion, either a white pawn or a black pawn. A Babson task may appear if both pawns are spotted in an individual problem, corresponding one another.[1]


The diagram shows a chess problem with Allumwandlung composed by Niels Høeg and first published in 1905. White to move and mate in three. The key move (White's first move) is 1.f7, and depending on how Black defends, White promotes to either a queen, a rook, a bishop or a knight on move two. The lines are:

  • 1... e4 2. f8=Q any 3. Qe7/Qf6#
  • 1... Kd6 2. f8=Q Kc6 3. Qc5#
  • 1... exf4 2. f8=R Kd6 3. Rf6#
  • 1... exd4 2. f8=B Kf6 3. Ra6#
  • 1... Kf6 2. f8=N exd4 3. Rf7#

The importance of White's underpromotions can be understood by considering what happens if he promotes to a queen no matter what Black plays: after 1...exf4 or 1...exd4 2.f8=Q is stalemate, while following 1...Kf6 2.f8=Q+ Kxg6 there is no mate.


  1. ^ Hornecker, Siegfried. "Allumwandlung by Siegfried Hornecker". Retrieved 25 November 2013.