1. In a helpmate a piece of any color moves to a square left by another piece.
2. A piece moves to a square left by a piece of the opposite color, which loses control of that square.
Umnov theme
A piece moves to a square vacated by a piece of the opposite color that maintains control of that square.
Umnov mate
A piece mates on a square left by a piece of the opposite color.
Umnov deferred
A move to a square that was abandoned at least two moves earlier by a piece of the opposite color.
Tura, Waldemar Szachista, 1995-96 1st-2nd Prize FIDE Album 1995-97
Like-moving black and white pieces stand next to each other in direction of their movement. The former moves away along their common line the latter follows it by moving to the adjacent square.
Retter, Yosi 144 T.T. Probleemblad, 1982 2nd honourable mention FIDE Album 1980-82
In one phase, the same mate occurs in several variations. In the second phase this mate becomes the threat, followed by other mates after the same defenses (or the defense is a refutation).
In the first phase, white has a double threat, and there is the third mate after black defense. In the next two phases, the third mate becomes a threat, while after a thematic defense, the first and second threat moves become mates.
A white unit that is captured in one phase mates in the other and vice versa.
double Zilahi theme
1. There are two thematic pieces and four phases in which one piece is beaten and the other mates.
2. There are four thematic pieces. In one phase the first piece is captured and the second one mates. In the second phase is the opposite. In the third phase, the third piece is captured and the fourth one mates. In the fourth phase the fourth unit is captured and the third one mates.
cyclic Zilahi theme
The white piece that mates in the first phase is captured in the next. The white piece that mates in the last phase is captured in the first.
extended Zilahi theme
In one phase, the white mating unit and the other, which is involved in mating, are captured in the second phase, and vice versa.