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A piece makes one or more moves an then returns by the same route. It is a special case of the closed walk.
See also: Closed walk; Linear cycle; Areal cycle.
Abdurahmanović, Fadil
Orbit, 2006
2nd Prize
1.Sd1+
Sf2
2.Sf6
Se4
3.Sf2
Sd6
4.S6e4
Sf5#
Paliulionis, Viktoras
4th FIDE World Cup, 2015
2nd Comm.
1.Qb8
Ka5
2.Kb7
Ba3
3.Kc6
Bd6
4.Kd5
Bxb8
5.Kc4
Bd6
6.Kb3
Ba3
7.Ka2
Kb4
8.Ka1
Kb3
9.Sb1
Bb2#
Telkes, Imre
Magyar Sakkvilág, 1937
Comm.
1.Ra1
Rb1
2.Rh1
Rg1
3.Rd1
Rg4
4.Rhf1
Re4#
Ott, Markus Johannes
Geissler, Norbert
Die Schwalbe, 1992
1.Rc8
Rf6
2.R3c7
Rc6
3.Sa2
Rc2
4.Rc3
Rc1
5.R8c4
Rxb1#
Paliulionis, Viktoras
harmonie-aktiv, 2015
2nd Prize
1...Sc3
2.Ke7
Sd1
3.Kd6
Sb2
4.Kc5
Kb1
5.Kb4
Ka1
6.Ka3
Sd1
7.Qb4
Sc3
8.Bb3
Sb1#
Páros, György
Fleck, Ferenc
O. Bláthy MT, 1940
1st-3rd Prize
1.Rg5
Bh4
2.Qg4
Bxh3
3.Qg2
Bxd7
4.Rg3
Bd8#
Meinking, Dan
U.S. Problem Bulletin, 1993 (v)
1.Rg3
Rf3
2.Qf5
Rxf5
3.Rg2
Rf3#
1.Rf3
Re3
2.Rg3
Rxe6
3.Rg2
Re3#
1.Qg4
Bf5
2.Rd3
Bxd3
3.Qg2
Bf5#
1.Qf5
Be6
2.Qg4
Bxb3
3.Qg2
Be6#
FEN: 8/3B4/2P1q3/8/P6p/Rr5k/4P2n/K7
Albert, Eugene
Feenschach-Aufsätze, 1963
1.Rd7
Kb8
2.Kd6
Sb5+
3.Kc6
Kc8
4.Rd6
Sa7#
FEN: 2K5/N7/1p1rk3/2pp4/8/8/8/8