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.
You can сlick on “Solutions” to show or hide the solutions!
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