Fairy helpmates with echo diagonal-orthogonal 3

This is the 3rd special example file for 14th TT CCM. They have one common property: in all of them White has exactly 3 pieces - but not always the most usual combination of orthogonal and diagonal form of the same piece type.
Hans-Peter Reich
Problemkiste 1989

a) 1.Ra7! b8Q 2.Ra8 Qa7#

b) 1.Bg7! hxg8Q 2.Bxh8 Qg7#

The first example where the white play is made by single pawn and moreover wSh8 plays quite humble role - but it seems it was impossible to tame cooks without it. Note also that the first black moves win a tempo.

h#2 (3+4)
b) b7 -» h7

bernd ellinghoven
Hans Gruber

1st-2nd Prize e.a. Acheres 1993

a) 1.Bf5 Sg3 2.Bxg3 Rxd1(Sd3)# (Rf5(Sc1)??)

b) 1.Rhg3 Bf5 2.Rxf5 Bxc3(Bd3)# (Bg3(Sb2)??)

Here I like the most the first black moves: the block defences against mating checks in the anticipation. Good fairy content.

h#2 (3+9)
Circe Parrain
zero a) +wSh1, b) +wBc8

Dan Meinking
David Brown

The Problemist 1995

1.Rf1 Ke3 2.Re1+ Kd3+ 3.Be2+ Kd4#

1.Bg2 Kd3 2.Bf1+ Ke3+ 3.Re2+ Kd4#

This problem I wanted to show for a long time. And echo diagonal-orthogonal tourney is indeed a suitable ocassion. When I've seen in in the magazine, I couldn't believe the way of a perfect motivation of triangular roundtrip of wK. Beautiful geometry of bB and bR moves... in fact it prompted me very strongly to participate in Brown 50 JT and as the final step of my researches to compose my 1st Prize there.

h#3 (3+9)
2+3 orphan

Torsten Linß
3rd Prize Die Schwalbe 1998

1.Bd2 LIb4 2.Kb5 Sc3+ 3.Ka5 LIxd2#

1.Be2 LIe4 2.Kd5 Se3+ 3.Ke5 LIxe2#

Black king needs 2 moves to walk to mating squares and thus Black has not enough time to remove two guards from prospective mating lines. On the other hand White apparently needs only 1 move - antibattery check by knight. This motivates the solution - Black bishop sacrifices with the other aim - to provide hurdle for the first lion jumps (there), then a knight moves and mates are given by capturing moves (back).

h#3 (3+7)
lion e1

Michel Caillaud
F170 Problem Paradise 26 - 2003

1...Gb1+ 2.c1B Gd1#

1.c1R Gb7+ 2.Rc6 Gd5#

An example of echo diagonal-orthogonal between set play and solution. Hurdle jumps away are blocked by promoted B/R. Compare to h#2 by Torsten Linß & Theodor Steudel using less usual form of twins.

h#2* (3+6)
2+2 grasshopper

Vlaicu Crisan
F0405 StrateGems 22 - 2003

a) 1.Kd5 PAb3 2.Kxe6(VAa2) PAxb6(Rd7)#

b) 1.Kd4 VAd7 2.Kxd3(PAd8) VAxb5(pc3)#

Super Circe is sometimes hard to visualize from diagram and extremely difficult to handle the soundness of a position, especially in help problems. Here the result is fantastic and everything seem to be matched perfectly. B1 O-D move of bK, W1 O-D move of chinese piece, B2 D-O move of bK setting D-O battery on, W2 O-D battery check capturing black unit blocking D-O flight. The construction seems to be very good too.

h#2 (3+7)
Super Circe
1+1 pao (d3), 1+1 vao (d6)
b) b6 -» c6

Comments to Juraj Lörinc.
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