Orthogonal-diagonal transformation

A theme framework, in which the strategic effects that take place on orthogonal lines in on phase are shown again in another, but changed to occur on diagonal lines, and vice versa.

See also: Analogy.

Alias: ODT; Diagonal/orthogonal correspondence.

Kirtley, Mark

The Problemist, 1988

1st HM

Example: Orthogonal-diagonal transformation
h#2 2.1... (6+7)

1.Bh7 Bd8 2.Rg6 Re2#
1.Rh6 Rf2 2.Bg6 Bc7#

View in Helpmate Analyzer

FEN: 2B1r3/6n1/4r3/B1Ppk3/4b2R/7K/2R3p1/8

External links:

Feather, Christopher John

Schach-Aktiv, 1991

Example: Orthogonal-diagonal transformation
h#2 2.1... (5+8)

1.Kd4 Bb8 2.Rc2 Rxd3#
1.Kc4 Rb8 2.Bg1 Bxd3#

View in Helpmate Analyzer

FEN: 2R5/B1r5/1b6/2kn4/b3n3/1R1p4/8/3K1B1r

External links:

Moen, Kabe

The Problemist Supplement, 2019

Example: Orthogonal-diagonal transformation
h#3 b) -wPf3  (4+6)

a) 1.Re5 Bh7 2.Sc5 Bd3 3.Sde6 Be4#
b) 1.Bd6 Rf1 2.Sc6 Rf7 3.Sed4 Rf5#

View in Helpmate Analyzer

FEN: 6B1/8/4n3/3k4/2pnrb2/5P2/8/K2R4

External links:

Feather, Christopher John

Schach-Echo, 1976

Example: Orthogonal-diagonal transformation
h#2 2.1... (5+9)

1.Qxb6 Rc1 2.Kd4 Qxd2#
1.Qxc6 Bg1 2.Kc4 Qb3#

View in Helpmate Analyzer

FEN: 5b2/8/1BR5/2qkp3/n3r3/8/P2p3p/K2Q3r

External links:

Pachl, Franz

Schach, 1982

Example: Orthogonal-diagonal transformation
h#2 2.1... (9+8)

1.Bxf4+ Kg6 2.Bd6 Re3#
1.Rxe6+ Kg5 2.Re3 Bd6#

View in Helpmate Analyzer

FEN: 6B1/p5PP/r3R2K/p6P/P4B1R/k7/1pp5/1qb5

External links:

Abdurahmanović, Fadil

Magyar Sakkelet, 1979

Example: Orthogonal-diagonal transformation
h#2 2.1... (5+6)

1.Ba7 Bxh6 2.Rd4 Se3#
1.Rd1 Rxh6 2.Bd4 Sd6#

View in Helpmate Analyzer

FEN: 8/8/R2r3p/p3nk2/2N5/K3b3/5N2/2B5

External links:

Visserman, Eeltje

Sahs/Shakhmaty (Riga), 1965

2nd Prize

Example: Orthogonal-diagonal transformation
h#2 2.1... (7+8)

1.Bxb2+ Kf7 2.Bf6 Sd5#
1.Rxf4+ Kg7 2.Rf6 Sd1#

View in Helpmate Analyzer

FEN: 4r3/2p4p/5K1p/8/P4N1R/4k3/RN2Prp1/b7

External links:

Feather, Christopher John

Moultings 5, 1991

Example: Orthogonal-diagonal transformation
h#2 2.1... (7+11)

1.Qxg8 Rf3 2.Ke6 Re2#
1.Qxf8 Bc4 2.Kf6 Bc3#

View in Helpmate Analyzer

FEN: 5RBn/K2pNqp1/p2P2pn/4k3/rB6/8/p5R1/7b

External links:

Jones, Christopher James Austin

Springaren, 2012

1st Prize

Example: Orthogonal-diagonal transformation
h#3 2.1... (5+7)

1.Kd5 f4 2.Rb6 Rc6 3.Bd4 Bxg2#
1.Kd6 d4 2.Bb7 Bc6 3.Rc7 Rxf6#

View in Helpmate Analyzer

FEN: 2r5/K3n3/2k2r1R/8/6p1/8/3P1Pb1/b6B

External links: