Cycle of functions

At least three pieces of the same side change functions in a cyclic manner, either, for instance, ABC-BCA-CAB, or AB-BC-CA.

Chepizhny, Viktor

Shakhmatnaya kompozitsiya, 2011

Prize

Example: Cycle of functions
h#2* 3.1... (11+15)

1...Bh5 2.Qe2 Be8#
1...Sd5 2.Se3 Sb4#
1...Rb7 2.Rb8 Rc7#

1.Qxe2 Rb7 2.Qb5 Rc7#
1.Sxe3 Bh5 2.Sd5 Be8#
1.Rxb8 Sd5 2.Rb7 Sb4#

View in Helpmate Analyzer

FEN: rRN4b/p3p1r1/pBk1P3/P7/8/1P2N1p1/2PpBpPp/K2bqn1n

External links:

Korponai, József

Magyar Sakkélet, 1968

1st Prize

Example: Cycle of functions
h#2 3.1... (5+8)

1.Ke5 Bg4 2.Re4 Rc5#
1.Qd4 Rc5 2.Qd3 Sf6#
1.Qe5 Sf6+ 2.Kf5 Bg4#

View in Helpmate Analyzer

FEN: K3N2q/5p2/2R3p1/6pB/4kb2/2P1r3/8/7b

External links:

Bakcsi, György

Zoltán, László

The Problemist, N. Macleod MT, 1994

1st Prize

Example: Cycle of functions
h#2 3.1... (4+11)

1.c4 Rxc4 2.Rgf3 Rxh5#
1.d4 Rxd4 2.Rbb3 Rxc5#
1.h4 Rxh4 2.Rdb3 Rxd5#

Cycle of functions (bPc5/bPd5/bPh5, Captured / Passive / Sacrificial clearance)
Cycle of functions (wRc6/wRd6/wRh6, Mate / Passive guard / Guard)

View in Helpmate Analyzer

FEN: 8/2K2p2/2RR3R/1rpp1k1p/8/3r2r1/q6b/3b4

External links:

Haymann, Jean

Haproblemai, TT, 1985

Spec. Prize

Example: Cycle of functions
h#2  (6+12)
b) wBa1→a5 c) wBa1→h2

a) 1.Kc2 Qc8 2.Bb6 Rxb2#
b) 1.Ke2 Rxe5 2.c2 Qg4#
c) 1.Ke4 Rb4 2.Sf5 Rxe5#

View in Helpmate Analyzer

FEN: 1K2b3/8/p7/3Rp2r/3b1P2/1Rpkn2Q/1q3p2/B1r2n2

External links:

Myllyniemi, Matti Arvo

Tidskrift för Schack, 1979

Example: Cycle of functions
h#2  (7+13)
b) wRg3→d1 c) wSd6→b7

a) 1.Ke3 Qxe6 2.Bf4 Sxc4#
b) 1.Kxf3 Qc6 2.Rf4 Rxd3#
c) 1.Kf5 Qb5 2.Sf4 Sd6#

Cycle of functions (bRe4/bSd5/bBe5, Self-block + Line opening / Passive / Pinned)

View in Helpmate Analyzer

FEN: 2b1Q3/5pq1/3Npn1p/3nb2p/2r1rk2/2Pp1PRP/8/5K2

External links:

Feather, Christopher John

The Problemist, 1998

2nd Prize

Example: Cycle of functions
h#2 3.1... (7+14)

1.Rh2 gxh4+ 2.Qxh4 Sxf3#
1.Rb5 Sxf5 2.Sxf5 Se4#
1.e4 Sxg4 2.fxg4 gxf4#

(wSf2/wPg3/wSd4, Mate / Active sacrifice / Passive guard)/

View in Helpmate Analyzer

FEN: 6n1/7b/1R6/4ppkp/1r1N1pqn/1P2PpPr/3b1Np1/1K6

External links: