Julia's Fairies

No.885
Günther Weeth (Germany)

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No.885 by Günther Weeth – A demonstration of Hoeg Retractor – one of the different kinds of Defensive retractor. (JV)

No.885.1 by Günther Weeth – An improvement made by author after discovering the following dual in No.885: 2…., e4:Qf3[f7]+! 3.Qg3-f3, Rf3-f8+ 4.Kf1-e2, Ka8-a7+ 5.Kf2-f1, Re3-f3+ 6.Qg1-g3, Rg3-e3+ 7.Ke1-f2, d3-d2+ 8.Kb6:Ba6[Ke1] – fw.1.Ka7# (JV)

Definitions:

The -8 & #1 stipulation means: retract 8 moves and then the White (forward) mating move.

Defensive Retractor: In Defensive Retractors, White and Black retract (take back) a given number of moves (-n moves), in order to reach a position in which a forward stipulation (e.g. #1, s#1) is met. Given a choice, Black will retract those moves that avoid or delay White’s goal. Unless otherwise stated, Black may defend by mating White through a forward move, if such an opportunity exists after one of Black’s retractions.
The different kinds of Defensive Retractors only differ in the way uncaptures are handled, of course only legal uncaptures are allowed:

In Proca Retractors the retracting side decides, if and what man was uncaptured.
In Hoeg Retractors the opposite side decides, if and what man was uncaptured.
In Klan Retractors always White decides, if and what man was uncaptured.
In Pacific Retractors there are no uncaptures at all.

Anti-Circe: After a capture the capturing piece (Ks included) must immediately be removed to its game array square (necessarily vacant, else the capture is illegal). R, B & S go to the square of the same colour as the capture; Ps stay on the file of capture; fairy pieces go to the promotion square of the file of capture.

No.885 Günther Weeth Germany original – 06.09.2015	Solution: (click to show/hide)
white kg2 sd7 pc3g6g5h2 black ka7 qa5 sb1e8 rg8h1 bh4h5 pa3b7c7d2f7 -8 & #1 (6+13) Hoeg retractor Anti-Circe	{no animation for this type of problems (JV)} Try: 1.Kg1-g2?, Rh8-g8+ 2.Kf1-g1, Rg4,2:Sg1[Rh8]+ (?) 3.Kf2-f1, Rg3-g4,2+ 4.Ke1-f2, d3-d2+ 5.Sa8:Bb6[Sg1], Bg1-b6+ 6.Kb5:Sc6[Ke1], Sd8-c6+ 7.Sb8-d7 – fw.1.Ka6#; yet that is refuted by Black playing 2..., Ra8:Xc8[Rh8]+ / Ka8-a7+. As none of both obstacles can be removed in the course of an ordinary foreplan, White is obliged to change the first phase of his plan basically with a transfer concerning the squares for the uncapture of the white knight. In doing so, White makes use of a different black unit for uncapturing. Solution: 1. Kf2-g2!, Rf8-g8+ 2.Ke2-f2, e4:Sf3[f7]+ 3.Sg1-f3, Rf3-f8+ 4.Kf2-e2, Rg3-f3++ 5.Ke1-e2, d3-d2+ and now the final part of White’s original plan works out alright: 6.Sa8:Bb6[Sg1], Bg1-b6+ 7.Kb5:Sc6[Ke1], Sd8-c6+ 8.Sb8-d7 – fw.1.Ka6#. Content: Modification of a white plan in a Hoeg retractor. Annotation: the bSb1 is necessary to avoid a dual in the 6th move. (Testing with Pacemaker (PM) : V8, G5 = 0 solutions, PM V3, G5 = 1 solution = author’s intention. Without bSb1 there is indeed a dual in the 6th move under the condition of Hoeg. All other duals indicated by PM are based on the condition of Proca!) (Author)

No.885.1 Günther Weeth Germany version to No.885 – 04.01.2016	Solution: (click to show/hide)
white kg2 sd7 Be8 pc3g6g5h2 black ka7 qa5 sb1a4 rg8h1 bh4h5 pb7c7d2f7 -8 & #1 (7+12) Hoeg retractor Anti-Circe	{no animation for this type of problems (JV)} Try: 1.Kg1-g2?, Rh8-g8+ 2.Kf1-g1, Rg4,2:Sg1[Rh8]+ (?) 3.Kf2-f1, Rg3-g4,2+ 4.Ke1-f2, d3-d2+ 5.Sa8:Bb6[Sg1], Bg1-b6+ 6.Kb5:Sc6[Ke1], Sd8-c6+ 7.Sb8-d7 – fw.1.Ka6#; yet that is refuted by Black playing 2..., Ra8:Xc8[Rh8]+ / Ka8-a7+. As none of both obstacles can be removed in the course of an ordinary foreplan, White is obliged to change the first phase of his plan basically with a transfer concerning the squares for the uncapture of the white knight. In doing so, White makes use of a different black unit for uncapturing. Solution: 1. Kf2-g2!, Rf8-g8+ 2.Ke2-f2, e4:Sf3[f7]+ 3.Sg1-f3, Rf3-f8+ 4.Kf2-e2, Rg3-f3++ 5.Ke1-e2, d3-d2+ and now the final part of White’s original plan works out alright: 6.Sa8:Bb6[Sg1], Bg1-b6+ 7.Kb5:Sc6[Ke1], Sd8-c6+ 8.Sb8-d7 – fw.1.Ka6#. Content: Modification of a white plan in a Hoeg retractor. Annotation:vbSb1 is necessary to avoid a dual in the 6th move; the dual with 2...., e4:Qf3[f7] is now eliminated as the wK can no longer enter square b6. An effort with 7.Kc8:Bd8[Ke1]? is refuted by Black putting a black rook on d8 ...7.Kc8:Rd8[Ke1] – fw.1.Kb8?? (illegal).(Author)