Original Problems, Julia’s Fairies – 2014 (II): May – August
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No.560 by Nikola Predrag – Original motivation of black castlings! (JV)
Equihopper: Moves along any line over another unit of either color to a square situated such that the hurdle stands at the mid-point between the Equihopper’s departure and arrival squares. The English Equihopper cannot pass over an obstruction other than the hurdle when playing along Queen-lines. The non-stop/French Equihopper does not have this restriction. Unless otherwise stated, the non-stop Equihopper is meant.
Nereid(ND): Marine piece operating along Bishop lines: without capture moves as Bishop, with capture – as Locust.
Locust(L): Moves along Queen lines only by capturing an enemy unit, arriving on the square immediately beyond that unit, which must be vacant.
LEO(LE): Chinese Queen. Moves as Queen, but captures only by hopping over a hurdle to any square beyond.
No.560 Nikola Predrag
original – 23.06.2014
h#2 b) wPb6→e5 (7+9)
Solutions: (click to show/hide)
a) 1.0-0-0!! (Rd8?) NDe8!! 2.Kd7!! LEb5#!
b) 1.0-0!! (Rf8?) LEe8+!! 2.Kf7!! Sd6#!
(C+ by Popeye 4.67 and WinChloe 3.26)
I probably don’t read the example well, for there are some cooks. But that is not important, it is clear what you wanted to say.
EQa2 is surely a defect. I would consider it as “gradual” (as I explained in the discussion about No.561).
I don’t like it but it enables the rest of the economy. Anyway, it’s a matter or subjective “sense of balance”. The defect is less tolerable if the original content looks less interesting.
A clear and pure presentation of this idea inevitably bears a lot of symmetry. It’s easy to construct one phase and just mirror it. I certainly rejected that as a poor and not challenging possibility.
But I’ve constructed a few symmetrical examples, just to get some potential schemes.
The essential part in your example is mirrored, and wLEd6 in b) could be any piece without particular identity (e.g. Fers) which fuctions a a “stone” in the end. And completely unacceptable is that it has no Leo-characteristic function in a), because it’s not present there.
I know that it’s just your illustration, but that is an essential trouble for this idea, it’s hard to avoid wLE functioning as a stone in a mate.
Here is one of my mirrored schemes:
White LEc6 Pd6 Pf6 LEg6 Bd1 Ke1
Black Ra8 Ke8 Rh8 Pd5 Pf5
1.0-0-0 LEc6-e8 + 2.Kc8-d7 Bd1-a4 #
1.0-0 LEg6-e8 + 2.Kg8-f7 Bd1-h5 #
The idea is to show the main thematic relevance of bK’s DEPARTURE from e8 and the irrelevance of bK’s ARRIVAL to c8/g8. I find it terribly boring and highly non-original when the important purpose of black castling is arriving to c8/g8 in a single move.
One challenge was to find the most different ways to guard flights c8/g8 in the mates. The “highly adored” analogy would only give relevance to these squares and that would be opposite to the idea. Therefore, if the arrival to e8 in W1 attacks g8 in one phase, it must not be so regarding c8.
Since B1,W1,B2 are directly required by the idea, the best way to avoid mirroring is to give the different functions to the white thematic pieces on e8.
Second challenge was to choose the proper pieces. From the very beginning I planned to combine the Chinese family with the Marine family. They can play the same non-capturing moves but they capture differently.
With all this, it’s pretty obvious that I consider wND and wLE as mutually well related for this idea. It was a challenge and pleasure to combine them.
Due to the all mentioned reasons, the variety is here a better tool for presenting the original idea than some trivial analogies. The thematic analogy is however well present.
Although, I would be happier with better tactical balance of the mating moves, in a) it is richer.