No.538 by Petko A. Petkov – A non-standard Disparate #2 with rich content! (JV)
From the author:
Today I present You a new my problem that shows my favorite theme in the genre Disparate-promotions! Many other themes and ideas accompanying these eternal actual Pawn’s moves. I believe that the content is quite complex, in two different thematic parts. But the technical realization of such tasks always requires a lot of pieces…
It is necessary to remind that my Disparate problems are composed according to Popeye version of implementation of this condition – under diagram you see Disparate (Py) . Therefore it would be wrong to check this problem with WinChloe that has other Disparate principles.
Definitions:
Disparate: If one side makes a move with a piece of type “x” (black, white, neutral, half-neutral, etc., King included), the other side cannot answer immediately by moving a piece of the same type “x”. (For example: white Qc1, black Ka8,Qa7 – mate in 1 move. After 1.Qc8#, Black is mated because 1…Qb8? is illegal. The mate is possible also with the neutral nQc1 – after 1.nQc8#. Black cannot move the same neutral Queen.) Every Pawn’s promotion is a Pawn’s move, therefore after such promotion (into any possible piece) the other side cannot answer immediately with its Pawn. We can say that after the move of the figure of type “x” any enemy figure of type “x” falls under Half-moving paralysis. This paralysis disappears immediately on the next half-move, if the opponent plays with another piece of type “y”. (This way it is implemented in Popeye. Another implementation of Disparate you can find in WinChloe, but it is based on the different rules.)
Nightrider(N): (1,2) Rider. Operates along straight lines with squares lying a Knight’s move away from each other.
MAO(MA): The Chinese knight, which is a Rider, moving along a bent line to the arrival square of a normal Knight, first orthogonally then diagonally. The Mao can be interfered with on the intervening square.
Rose(RO): (1,2) Octagonal Rider (extents the move of the Knight on a circular path e.g. a4-b6-d7-f6-g4-f2-d1-b2 or a4-c5-e4-f2).
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No.538 Petko A. Petkov
Bulgaria
original – 01.05.2014
 #2 (7+10+4)
Disparate (Py)
Nightrider b3
MAO b1
Rose d3
PART I – thematic tries after Pg7 promotions with logical character:
In advance let’s make certain indications in the thematic moves (all red letters refer to the try-play):
A = promotion in S of the Pg7; a1, a2 = defences of nSd1; A1, A2 = mates, given by nSd1 as a forward battery-piece of two special batteries.
B = promotion in MA of the Pg7; b1, b2 = defences of nMAb1; B1, B2 = mates, given by nMA as a forward battery-piece of two special batteries.
C = promotion in Ro of the Pg7; c1, c2 = defences of nRod3; C1, C2 = mates, given by nRO as a forward battery-piece of two special batteries.
D = promotion in N of the Pg7; d1, d2 = defences of nNb3; D1, D2 = mates, given by nN as a forward battery-piece of two special batteries.
1.g8=S +? (A)
1…nSc3 (a1) 2.nM xc3 # (B1), 1…nSb2 (a2) 2.nROxb2 #(C1) but 1….nSe3!
1.g8=MA + ? (B)
1…nMAd2 (b1) 2.nNxd2 # (D1), 1…nMAc3 (b2) 2.nSxc3 # (A1) but 1…nMAa3 !
1.g8=RO + ? (C)
1…nROb2 (c1) 2.nSd1xb2 # (A2) 1…nROc1 (c2) 2.nNxc1 # (D2) but 1…nROe1 !
1.g8=N + ? (D)
1…nNc1(d1) 2.nROxc1 # (C2), 1…nNd2 (d2) 2.nMAxd2 # (B2) but 1…nNa1 !
In my opinion this play demonstrates not only logic elements but also multiple cyclical effects! But I will not give here tables with alphabetical formulas, because in a good problem most important is the content instead of the symbols that denote moves.
(Not thematic tries, but probably also with a nice Disparate motives are: 1. g8=Q? but 1…Qf2~! and Qg8 is paralyzed; 1.g8=R? but 1…Rf2~! and Rg8 is paralyzed; 1.nNxa5!? (2.nNg8#) – now nNa5 is paralized for Black and they have only one refutation – 1…Bb3!! with “Umnov-element”!)
PART II – real play.
In advance let’s make certain indications in the thematic moves in the solution:
e, f, g, h – black defenses that paralyzed the w.Bf6 after black Bc2-moves
A,B,C, D – mates after Pg7-promotions
1.Se6! (2.Bg5#)
1…Bxd1 (e) 2.g8=S# (A)
1… Bxb1 (f) 2.g8=MA# (B)
1…Bxd3 (g) 2. g8=RO# (C)
1…Bxb3 (h) 2.g8=N# (D)
THEMATICAL COMPLEX:
- In the first phase (try-play) we see 4 white promotions that lead to extremal activity of the neutral quartet nSd1, nMAb1, nROd3, nNb3 – these pieces as defenses (that paralyzed the white promoted figures on “g8”) and as mating-moves make 16 thematic moves + 4 other important moves as refutations of the tries!!
- The play of the neutral quartet nSd1, nMAb1, nROd3, nNb3 have been designed on four fields which draws the outline of a CROSS (c1-b2-c3-d2).
- In the try-play 8 different special batteries are created with a neutral piece as a forward figure and as a rear figure – the promoted white piece on “g8”: nSd1/MAd8; nSd1/ROg8; nMAb1/Sg8; nMAb1/ Ng8; nRO/S; nRO/N; nN/MA; nN/RO.
- A main additional theme in both phases is the Captures of the thematic neutral pieces: for White this operation has an interesting double reverse effect – a paralyze is realized but another paralyze is destructed!
- The real solution shows also a very rare and difficult synthesis between two well known but important themes: B – STAR + PHOENIX!
(C+ by Popeye 4,65)
(Author)
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No.538 
A very amusing scheme! It is not as complicated as it seems, because the neutral pieces on b3, d3, b1 and d1 are just different types of knights. The 4 neutral “knights” each guard 2 of the squares c3/b2/d2/c1, and the bBc2 can capture each of the neutral “knights”. The only negative point is all the black pawn plugs, which stop unwanted moves of the neutral “knights”.
Another fantastic, deep and complex exploration of Disparate+Neutral potential.
The whole concept is based on the characteristics of neutral Knights, promotion into white Knight and bB whose play is restricted to 4 star-moves. This basis might look as not so very complex. Also, 3 neutral “Knights” (b1,b3,d3) are “masked” as 3 different fairy pieces without any need for their specific powers. The “simple” reason for these “masks” is that “Disparate” treats them differently, exactly and exclusively on the basis of a different appearence. (The same aspect is present in Madrasi.)
But that’s only a beginning of the story. This “simple” reason creates all complex relations between the elements of the perfect mechanism. One feature is worth noting as addition to the author’s rich explanation. There is one cycle of captures in the tries, but it works in both directions.
I wonder, has such cycle been ever presented and defined before? The reversible relation between the pieces could be considered as a kind of Alternating Current. Switched direction of the relation leads into another try (links the phases). It can be defined as AC-Cycle 4×2, 4 phases with 2 elements.
1.g8S+?……….MAxS….ROxS
1.g8MA+?……NxMA….SxMA
1.g8N+?……….ROxN…..MAxN
1.g8RO+?……..SxRO…..NxRO
If necessary, it could be more clearly presented.
A direct mate problem from the GM is a rare event..!
So I dug in..
Complex try/actual play..
Cyclic captures between the neutral pieces in the 4 tries..
The promotion tries return as mates after the BB eliminates each of the “knight” types..
All done with his customary constructional finesse..
I’m not able to understand, though.. how the try play can be considered as battery play..
A hypothetical, extremely generalized definition of a battery might be: some piece is activated by moving some other piece (without any relevance of line-effects). This could be a basis for a classification of various types of batteries.
But for instance, the conditions like Patrol, Madrasi and Disparate, contain many of such “batteries” by default. Example: wQc5,wBe3,wPd4,bKd2
I see no point in mentioning “Patrol-battery” checks Qc5-a3/c3/e7/e5/g5, while d4-d5+ shows the point. Even Be3-g5+ shows a kind of “antibattery” by activating wQ as the observing piece.
In Disparate, some temporarily paralysed piece is activated by ANY subsequent move which does not renew the paralysis. In the tries of No.538, all legal 2nd moves, including 2.K~ would also be the “battery checks” (except 1.g8MA+ MAb1~ 2.Bg7+/g7, due to interference).
Phoenix is nice but it might look as too easily motivated by the condition. But contrary to the majority of originals on this website, it is a direct problem and the complexity comes out of motivation for black defences which paralyse the threatening wB.