Original Problems (page 68)
Original fairy problems published during 2012 will participate in the informal tourney JF-2012.
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No.127 – #2 by Jean-Marc LOUSTAU – Interesting and difficult cycle of black and white anti-batteries. (JV)
Lion(Li): Moves along Q-lines over another unit of either color to any square beyond that unit. A capture may be made on arrival, but the hurdle is not affected.
Rook-Lion(RL): Moves like Lion, but on Rook-lines only.
Rose-Lion(ROL): Moves like Lion, but on Rose-lines only.
Rose(RO) – Octogonal Rider(1,2): piece which can make several successive Knight leaps on octagonal lines isometrical to d2-b3-a5-b7-d8-f7-g5-f3-d2. A Rose moves in the same way to capture or not to capture, the taken unit being on the arrival square.
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No.127 Jean-Marc LOUSTAU
original – 10.09.2012
Lions: a2, d1, g6, h7
Rose-Lions: b1, f8, g8
Solution: (click to show/hide)
1 ROLb4! threats 2 Qg2#
On b4, obviously the Rose-Lion controls g2 by jumping over the hurdle Lion g6. A question is: if the Lion g6 plays, is g2 still controlled? Some composers/software answer “no”, as there is no more hurdle on the circle of the Rose-Lion; but after 1… LIg6 plays 2 Qg2+, if black try to play Kxg2, then Rose-Lion jumps over this new hurdle, the black King, then continues on its circle, comes again on b4, then g2, capturing the King: so other composers/software (Winchloe) answer “yes” g2 is controlled: it is also my approach, and thus, in this problem (checked with Winchloe), playing the Lion g6 anywhere does not prevent the threat.
The problem shows a kind of generalization of the concept of anti-battery, which can aim not necessarily the opposite King square, but any target square, as the threat square:
1… ROLg4 2 LIh5#
1… LIc2 2 LIe4#
1… LId5 2 ROLf1#
Cycle of white anti-batteries units to the same square (h1) answers to cyle of black anti-batteries units to the same square (g2). There is a kind of Black/White echo which is visible in the geometry. Although I have already composed a problem with this same idea, I think it remains a quite original idea.
1… RLd5 2 ROLe1# (2… RLf1??)
And not as Rd8 is interferred: 2 ROLf1?? Impossible!
And not as diagonal h7-e4 is opened: 2 LIe4+? LIxb1!
And finally 2 line openings:
1… Rd5 (or Rd2) 2 RLh8#
1… cxb4 2 RLc1#
The diagrams are made on WinChloe and its Echecs font is used for Logo design