Definitions: (click to show/hide)
Circe Equipollents: After a piece is captured, it is immediately replaced on the square which is the same distance and direction from the square of its capture, as was that square from the square upon which its captor commenced its move. (If Qf7 captures a Pawn on e7, it is reborn on d7, because d7 is a same distance and direction from e7 as e7 is from f7. Similarly, if Qg7 captures a piece on ‘e7’ its rebirth square is ‘c7’). If the rebirth square is occupied the captured piece disappears. Castling with replaced Rook is permitted. Pawns may be reborn on the 1st and 8th ranks. Pawns reborn on the 8th rank are promoted as part of rebirth and the promotion is chosen by the player who makes the capture, i.e., if White captures a black Pawn, and the black Pawn is reborn on the 8th rank, White (not Black) decides what Black’s Pawn will be promoted to. Pawns reborn on the 1st or 8th rank can make only one-square move (for example black Pc8 can play only on c7 or it can capture an enemy units on ‘b7’ or ‘d7’). During the en passant capture, the Pawn is replaced on the rank opposite of the captor. For example, if Black moves c7-c5, White Pawn on ‘b5’ captures en passant, moves to ‘c6’, while the black Pawn is reborn on ‘d6’.
Alphabetic Chess: The squares are considered in the order a1, a2…a8, b1…b8, c1 and so on to h8. At each turn, only the unit standing on the square which comes earliest in this order may move. However check and mate are normal.
Lion(LI): Moves along Queen lines over another unit of either color to any square beyond that unit. A capture may be made on arrival, but the hurdle is not affected.
Grasshopper(G): Moves along Q-lines over another unit of either color to the square immediately beyond that unit. A capture may be made on arrival, but the hurdle is not affected.
Equihopper(EQ): Moves along any line over another unit of either color to a square situated such that the hurdle stands at the mid-point between the Equihopper’s departure and arrival squares. The English Equihopper cannot pass over an obstruction other than the hurdle when playing along Queen-lines. The non-stop/French Equihopper does not have this restriction. Unless otherwise stated, the non-stop Equihopper is meant.
No.1018 Erich Bartel Germany original – 06.03.2016
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Solution: (click to show/hide)
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white Kh1
black LIb2 Ge2 Kg3
ser-s=15 (1+3) Circe Equipollents AlphabeticChess Lion b2 Grasshopper e2
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1.Kh1-g1 2.Kg1-f1 3.Kf1*e2[+bGd3] 4.Ke2*d3[+bGc4] 5.Kd3-c2 6.Kc2-b1 {
} 7.Kb1-a1 8.Ka1*b2[+bLIc3] 9.Kb2*c3[+bLId4] 10.Kc3*c4[+bGc5] 11.Kc4-d3 {
} 12.Kd3-e2 13.Ke2-f1 14.Kf1-g1 15.Kg1-h1 Gc5-e3 {=
(C+ by Popeye 4.73)}
Corner to corner and switchback by white king. (Author)
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No.1019 Erich Bartel Germany original – 06.03.2016
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Solution: (click to show/hide)
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white Ke3
black EQe2 Pf2 LIf3
ser-s#20 (1+3) Circe Equipollents Alphabetic Chess Lion f3 Equihopper e2 (no bK)
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1.Ke3*f3[+bLIg3] 2.Kf3-e3 3.Ke3-d2 4.Kd2-d1 5.Kd1*e2[+bEQf3] {
} 6.Ke2*f3[+bEQg4] 7.Kf3-e2 8.Ke2-f1 9.Kf1*f2[+bPf3] 10.Kf2*f3[+bPf4] {
} 11.Kf3*f4[+bPf5] 12.Kf4-e5 13.Ke5-f6 14.Kf6*f5[+bPf4] 15.Kf5*f4[+bPf3] {
} 16.Kf4-f5 17.Kf5*g4[+bEQh3] 18.Kg4*g3[+bLIg2] 19.Kg3-f2 20.Kf2-e1 f3-f2 # {
(C+ by Popeye 4.73)}
Beginning with symmetrical position, asymmetrical play and
ending in symmetrical position. (Author)
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