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MatPlus.Net Forum General MAXIMUM ACTIVITY OF THE WHITE QUEEN IN A H#2

### MAXIMUM ACTIVITY OF THE WHITE QUEEN IN A H#2

This theme, of course, is not new in the Hx2 genre, but in my opinion it is rather non-standard and interesting.
DEFINITION:" In a H#2 with "n" phases ("n" solutions, "n" twins, set + "n-1" solutions, etc.) the white Queen that is not pinned in the starting position, realizes all white moves without repetitions and without captures of enemy figures or pawns.".
In order to greater simplicity and clarity of explanations, I put a strong limitation looking at its realization only in H#2, and it is only for problems composed with orthodox material without other fairy conditions. The number of white Queen's moves will be X = "n" x 2 where “n” is the number of the phases. For example, in a 3-phase H#2 we will have 3x2=6 Q-moves, in a 4 phase H#2 - 4x2=8 Q-moves, etc.
If this theme is a major and obligatory subject in a H#2, it is obvious that we must try to combine it with some other additional interesting strategic elements to get an unusual and difficult thematic complex.

Petko A,Petkov
MAT – July 28th - 2021
original

(= 7+11 )

H#2
b)Pe6->f7
c) Pe6->e3
d) Pe6->c7

If we assume that the square f6 = field A, f4 = field B, d4 = field C and d6 = field D, we see in the 4 twins the following cyclic dependence between the moves of the black king and the white Queen, respectively: AB-BC-CD-DA.
Solutions: a)1.Sg5 Qc1 2.Kf6(A) Qf4#(B); b) 1.f5 Qg1 2.Kf4(B) Qd4#(C); c) 1.Bg5 Qa3 2.Kd4(C) Qd6#(D); d) 1.Bc5 Qf1 2.Kd6(D) Qf6#(A).
The problem I am posting here as an original presents an unusual idea: eight moves by the white Queen are combined with the following additional thematic elements and special features:
1). A cyclical duel between the wQ and the black King, which step in a cyclic order on four squares (including, the bK demonstrates a “King`s Star”).
2). Preventive closing (deactivation ) of the black battery Kingt/Rook , built on the fifth horizontal.
3). All squares around the black King in the starting position are free.
4). There are no any captures of white and black pieces.
5). There are no white check-moves.
This complex, in my opinion, is presented here for the first time.
Note: The thematic idea mentioned in point 1). above is known from some older problems (Please see, for example, the following two problems from the PDB server: P1071007, P0536274,etc), but these problems lack the important thematic elements mentioned in points 2 -5 of my original.
From other side(and it is very important!) that in the cited problems there is no 8-fold play of the white Queen (in both problems the wQ plays only 6 times.), which is an argument to believe that these old problems do not belong to the theme of this article at all because there is no Maximum wQ activity in them! Other aesthetic minuses: there is no full thematic homogeneity between the four phases, exist non thematic captures of black pieces (1 in P107100 and 2 (very bad) in P0536274 etc.
My new original in this short article was composed in April, 2021 and sent to an international thematic tournament. Unfortunately, in the preliminary award, the judge eliminates my problem, indicating completely wrong, (in my opinion), that my problem has predecessors - the already quoted problems P107100 and P0536274.
For this reason, I said to the Tournament director that I withdraw my problem from the competition and it will be published as an original, for the first time, in another edition.

Sofia,
July 28th 2021

(2) Posted by seetharaman kalyan [Thursday, Jul 29, 2021 16:26]

This is a beautiful original. The black king star flight and white queen mates on one of those squares everytime is wonderfully combined with check prevention by black and complete 8-fold WQ play.

Welcome back to the orthodox helpmate field again. You are inventive as usual 👏👏👍