Tries A and B are refuted by defenses b and a; in a subsequent phase, defenses a and b are answered by the respective try moves A and B.
try A [_ !]
try B [! _]
+any [A B]
with -no_threats_few_replies -no_threats_sparse_mates
-capture_try_piece -refutation_is_check
-match_threat_count -match_mate_count -single_refutation
story "Banny: Tries 1.{A}? (refuted by 1...{b}!) and
1.{B}? (refuted by 1...{a}!) are answered reciprocally
in subsequent play: 1...{a} 2.{A}# and 1...{b} 2.{B}#."
---
try A [! _]
try B [_ !]
+any [B A]
story "Banny: Tries 1.{A}? (refuted by 1...{a}!) and
1.{B}? (refuted by 1...{b}!) are answered reciprocally
in subsequent play: 1...{a} 2.{B}# and 1...{b} 2.{A}#."
---
vir [A B]
try A [_ !]
try B [! _]
with -no_threats_few_replies -no_threats_sparse_mates
-capture_try_piece -refutation_is_check
-match_threat_count -match_mate_count -single_refutation
story "Banny: Virtual mates 1...{a} 2.{A}# and
1...{b} 2.{B}# reappear as tries 1.{A}? (refuted
by 1...{b}!) and 1.{B}? (refuted by 1...{a}!)."
Cyclic Banny across 3 phases: Try 1 (move A) refuted by a; Try 2 (move B) refuted by b; Try 3 (move C) refuted by c; Key answers defenses with B, C, A.
try A [! _ _]
try B [_ ! _]
try C [_ _ !]
key [B C A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Banny
story "Cyclic Banny: Tries 1.{A}?, 1.{B}?, and 1.{C}? are
answered cyclically after key 1.{K}!{threat_clause}:
1...{a} 2.{B}#, 1...{b} 2.{C}#, 1...{c} 2.{A}#."
Reciprocal changed threat theme: Try 1 threatens X (refuted by a); Try 2 threatens Y (refuted by b); Key answers defense a with Y, and defense b with X.
try (X) [! _]
try (Y) [_ !]
+any [Y X]
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
-refutation_is_check
story "Hannelius: Tries 1.{Tr1}? (threat 2.{X}#, refuted
by 1...{a}!) and 1.{Tr2}? (threat 2.{Y}#, refuted
by 1...{b}!) have their threats reciprocally transferred
to defenses in the key 1.{K}!{threat_clause}:
1...{a} 2.{Y}# and 1...{b} 2.{X}#."
---
vir [Y X]
try (X) [! _]
try (Y) [_ !]
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
-refutation_is_check
story "Hannelius: Virtual mates 1...{a} 2.{Y}# and
1...{b} 2.{X}# reappear reciprocally as threats in tries
1.{Tr1}? (threat 2.{X}#, refuted by 1...{a}!) and
1.{Tr2}? (threat 2.{Y}#, refuted by 1...{b}!)."
Cyclic changed threat theme across 3 phases: tries threaten X, Y, Z (refuted by a, b, c); Key answers a, b, c cyclically with Y, Z, X.
try (X) [! _ _]
try (Y) [_ ! _]
try (Z) [_ _ !]
key [Y Z X]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Dad, Hannelius
story "Cyclic Hannelius: Three try threats 2.{X}#,
2.{Y}#, 2.{Z}# are cyclically permuted in the key
1.{K}!{threat_clause}: 1...{a} 2.{Y}#, 1...{b} 2.{Z}#,
1...{c} 2.{X}#."
Tries threaten A and B, refuted by defenses a and b; Key answers defense a with A, and defense b with B.
try (A) [! _]
try (B) [_ !]
+any [A B]
with -match_mate_count -single_refutation
-capture_try_piece
story "Dombrovskis: Try threats 2.{A}# (from 1.{Tr1}?,
refuted by 1...{a}!) and 2.{B}# (from 1.{Tr2}?,
refuted by 1...{b}!) return as post-key mates
after 1.{K}!{threat_clause}: 1...{a} 2.{A}# and
1...{b} 2.{B}#."
---
try (A) [! _]
+any (B) [A]
with -match_mate_count -capture_try_piece
story "Dombrovskis: Try threat 2.{A}# (from 1.{Tr}?,
refuted by 1...{a}!) returns as post-key mate after
1.{K}! (threat 2.{B}#): 1...{a} 2.{A}#."
---
try A (B) [! !]
+any [A B]
with -match_mate_count -capture_try_piece
story "Dombrovskis: Try 1.{A}? (threat 2.{B}#) is refuted
by 1...{a}! and 1...{b}!, which are answered by 2.{A}#
and 2.{B}# after Key 1.{K}!{threat_clause}."
---
vir [A B]
try (A) [! _]
try (B) [_ !]
with -match_mate_count -single_refutation
-capture_try_piece
story "Dombrovskis: Virtual mates 1...{a} 2.{A}# and
1...{b} 2.{B}# reappear as try threats in 1.{Tr1}?
(threat 2.{A}#, refuted by 1...{a}!) and 1.{Tr2}?
(threat 2.{B}#, refuted by 1...{b}!)."
---
try (A) [! _ _ _]
try (B) [_ ! _ _]
+any [_ _ A B]
with -match_mate_count -single_refutation
-capture_try_piece
story "Dombrovskis: Try threats 2.{A}# and 2.{B}# return
as defensive mates after Key 1.{K}!{threat_clause}:
1...{c} 2.{A}# and 1...{d} 2.{B}#."
A try threatens X and is refuted by defense a; in the solution, defense a is answered by checkmate with X.
try (X) [!]
key [X]
story "Dombrovskis paradox: Try threat 2.{X}# (from
1.{Tr}?, refuted by 1...{a}!) returns as checkmate after
key 1.{K}!{threat_clause}: 1...{a} 2.{X}#."
Try 1 threatens X, refuted by a (mates b with A); Try 2 threatens Y, refuted by b (mates a with B); Key mates a with X and b with Y.
try (X) [! A]
try (Y) [B !]
key [X Y]
subsumes DefBasedHannelius, Dombrovskis, Dombrovsky,
Makrava
story "Ideal Dombrovskis: Try threats 2.{X}# (1.{Tr1}?)
and 2.{Y}# (1.{Tr2}?) reappear as actual mates against
the refutations after key 1.{K}!{threat_clause}:
1...{a} 2.{X}# and 1...{b} 2.{Y}#."
Dombrovskis cross-closed 1: Try 1 threatens A (refuted by a, mates B against b); Try 2 threatens B (mates A against a, refuted by b); solved by Key K.
try (A) [! B]
try (B) [A !]
key K
subsumes Dombrovskis, Dombrovsky, PseudoLeGrand,
TransferredMates
story "Dombrovskis Cross-Closed 1:
Try 1.{Tr1}? (threat 2.{A}#, refuted by 1...{a}!,
allows 1...{b} 2.{B}#) and Try 1.{Tr2}? (threat 2.{B}#,
allows 1...{a} 2.{A}#, refuted by 1...{b}!) cross-close,
resolved by key 1.{K}!{threat_clause}."
A White try move X is refuted by defense a; in the Key, defense a is answered by mate move X.
try X [!]
any [X]
with -capture_try_piece -match_threat_count
story "Vladimirov: White try move 1.{X}? (refuted
by 1...{a}!) returns as checkmate after key
1.{K}!{threat_clause}: 1...{a} 2.{X}#."
---
try A (B) [! !]
key [A B]
with -capture_try_piece -match_threat_count
story "Vladimirov: White try move 1.{A}? and threat
2.{B}# (refuted by 1...{a}! and 1...{b}!) return
as checkmates after key 1.{K}!{threat_clause}:
1...{a} 2.{A}# and 1...{b} 2.{B}#."
Vladimirov cross-closed: Try A refuted by defense a (mates b with B); Try B answers defense a with A, refuted by b.
try A [! B]
try B [A !]
key K
with -capture_try_piece -match_threat_count
-no_threats_sparse_mates -no_threats_few_replies
-single_refutation -refutation_is_check
subsumes ChangedPlay, PseudoSalazar, Vladimirov
story "Vladimirov Cross-Closed 1: Try moves 1.{A}?
(refuted by 1...{a}!) and 1.{B}? (refuted by 1...{b}!)
cross-answer the refutations as checkmates, resolved
by key 1.{K}!{threat_clause}."
Try threatens A, with defense a answered by B; Key threatens B, with defense a answered by A.
try (A) [B]
+any (B) [A]
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
-refutation_is_check
subsumes ChangedMate
story "Le Grand: Try 1.{Tr}? threatens 2.{A}# (answered
by 1...{a} 2.{B}#); Key 1.{K}! mirrors the play,
threatening 2.{B}# with 1...{a} 2.{A}# against
the defense."
Phase 1 threatens A (defense a answered by B); Phase 2 threatens B (defense b answered by A).
vir (A) [B _]
+any (B) [_ A]
with -refutation_is_check -capture_try_piece
-match_threat_count -match_mate_count -single_refutation
subsumes ChangedMate
story "Pseudo-Le Grand: Try 1.{Tr}? threatens 2.{A}#
(answered by 1...{a} 2.{B}#); Key 1.{K}! threatens
2.{B}# (answered by 1...{b} 2.{A}#), producing
a reciprocal threat-mate transference."
Cyclic permutation of threats and mates against defense a across 3 phases: Try 1 threatens A (mates B); Try 2 threatens B (mates C); Key threatens C (mates A).
try (A) [B]
try (B) [C]
key (C) [A]
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
-refutation_is_check
subsumes ChangedPlay, PseudoCyclicLeGrand
story "Cyclic Le Grand: Three phases cyclically
permute threats and defensive mates:
Try 1.{Tr1}? (threat 2.{A}#, 1...{a} 2.{B}#),
Try 1.{Tr2}? (threat 2.{B}#, 1...{a} 2.{C}#),
and Key 1.{K}! (threat 2.{C}#, 1...{a} 2.{A}#)."
Cyclic change of mates across two phases against defenses a, b, c (A, B, C to B, C, A).
vir [A B C]
key [B C A]
subsumes ThreeChangedMates, TransferredMates
story "Lacny cycle: Cyclically permuted checkmates
across phases (A -> B -> C -> A) against defenses
1...{a}, 1...{b}, and 1...{c}, completed by key
1.{K}!{threat_clause}."
Complete cyclic change of mates across 3 phases against defenses a, b, c (A, B, C / B, C, A / C, A, B).
vir [A B C]
try [B C A]
key [C A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes AntiCarousel, CounterCarousel, RiceCycle,
ZagoruikoCyclic
story "Complete Lacny: Flawless cyclic permutation
of three defensive mates across three phases:
{phase1} (2.{A}#, 2.{B}#, 2.{C}#), try 1.{Tr}? (2.{B}#,
2.{C}#, 2.{A}#), and key 1.{K}!{threat_clause} (2.{C}#,
2.{A}#, 2.{B}#)."
Combination of Dombrovskis and Lacny: Try threatens A (mates B, C against defenses a, b); Key threatens B (mates C, A against a, b).
try (A) [B C]
key (B) [C A]
subsumes Isaev, PseudoLeGrand, ThreatKey, TransferredMates
story "Dombrovskis-Lacny: Try 1.{Tr}? (threat 2.{A}#,
defenses 1...{a} 2.{B}#, 1...{b} 2.{C}#) and Key 1.{K}!
(threat 2.{B}#, defenses 1...{a} 2.{C}#, 1...{b} 2.{A}#)
synthesize Dombrovskis threats and Lacny cyclic mates."
Cyclic change between threats, phase moves, and defensive mates across three phases (e.g., mate A in tries becomes threat A in the Key).
try [A C]
try [D A]
key (A) [E F]
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
story "Shedey cycle: Key 1.{K}! threatens 2.{A}#
(answering defenses with 2.{E}# and 2.{F}#), completing
a cyclic permutation of threats and defensive mates
across phases."
---
vir [A !A]
+try [!A A]
+key (A) [!A !A]
with -match_threat_count -match_mate_count
story "Shedey cycle: Mate 2.{A}# against 1...{a}
in {phase1} transfers to 1...{b} in Try 1.{Tr}? and
becomes the threat in {phase3}."
---
vir [A B]
try (A) [! _]
+any (B) [C D]
where A != C
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
-refutation_is_check
story "Shedey cycle: Defensive mates 2.{A}# and 2.{B}#
from {phase1} reappear as threats across Try 1.{Tr}?
and {phase3}."
---
any A [B _]
+any (B) [A _]
+any [A B]
with -match_threat_count -match_mate_count
-capture_try_piece -single_refutation
-refutation_is_check
story "Shedey cycle: Moves 2.{A}# and 2.{B}# cycle
through phase move, threat, and defensive mates across
three phases."
Complete Kiss cycle across 3 phases: Try A (mates B, C), Try B (mates C, A), and Key C (mates A, B) against defenses a and b.
try A [B C]
try B [C A]
key C [A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes AntiReversal, Brabec3, ComplexBanny, Kiss,
RiceCycle, ZagoruikoCyclic
story "Complete Kiss: Full thematic matrix
of changed checkmates across tries 1.{A}?, 1.{B}?,
and key 1.{C}!{threat_clause} against defenses 1...{a}
and 1...{b}."
Tries threaten A and B (refuted by defenses a and b) and Key answers a and b reciprocally with B and A; or double threat AB in one phase separates into variation mates A and B in another phase.
try (A) [! _]
try (B) [_ !]
key [B A]
story "Rudenko: Tries 1.{Tr1}? (threat 2.{A}#,
refuted by 1...{a}!) and 1.{Tr2}? (threat 2.{B}#,
refuted by 1...{b}!) have their threats reciprocally
answered after key 1.{K}!{threat_clause}:
1...{a} 2.{B}# and 1...{b} 2.{A}#."
---
try (AB)
+any [A B]
with -capture_try_piece -refutation_is_check
-single_refutation
story "Rudenko: Double threat 2.{AB}# in try 1.{Tr}?
is separated into defensive variation mates:
1...{a} 2.{A}# and 1...{b} 2.{B}#."
---
vir [A B]
+any (AB)
with -capture_try_piece -refutation_is_check
-single_refutation
story "Rudenko: Variation mates 1...{a} 2.{A}# and 1...{b}
2.{B}# in {phase1} become the double threat 2.{AB}#."
Double threat AB with defensive mates C, D in try, answered by mates A, B in key.
try (AB) [C D]
key [A B]
subsumes ChangedPlay, DoubleThreat, Rudenko
story "Rudenko (Reversal Form): Try 1.{Tr}? carries
double threat 2.{AB}# (answered by 1...{a} 2.{C}# and
1...{b} 2.{D}#); Key 1.{K}!{threat_clause} converts
the threats into defensive mates: 1...{a} 2.{A}# and
1...{b} 2.{B}#."
Cyclic permutation of mates across three phases against defenses a and b (A, B / B, C / C, A).
vir [A B]
try [B C]
key [C A]
with -no_threats_sparse_mates -no_threats_few_replies
-refutation_is_check -capture_try_piece
-single_refutation -match_threat_count -match_mate_count
subsumes ChangedPlay, TransferredMates
story "Rice cycle: Cyclic permutation of defensive
mates across tries 1.{Tr1}?, 1.{Tr2}?, and key
1.{K}!{threat_clause}: 1...{a} 2.{A}#, 2.{B}#, 2.{C}#."
Cyclic relation between phase move, threat, and mate against defense a: Try A threatens B (mates C); Key B threatens C (mates A).
try A (B) [C]
key B (C) [A]
subsumes AntiReversal, Erokhin, ThreatAntiReversal
story "Djurasevic: Try 1.{A}? (threat 2.{B}#, defense
1...{a} 2.{C}#) and key 1.{B}! (threat 2.{C}#, defense
1...{a} 2.{A}#) exhibit cyclic permutation of key,
threat, and mate (A -> B -> C -> A)."
---
try Tr (C) [!]
key K (A) [C]
where same_square(Tr, K), Tr.from != K.from
with -refutation_is_check -capture_try_piece
story "Djurasevic: Try 1.{Tr}? (threat 2.{C}#,
refuted by 1...{a}!) and key 1.{K}! (threat 2.{A}#,
1...{a} 2.{C}#) share destination {K.to} and transfer
threat 2.{C}# into a variation mate."
Cyclic pseudo anti-reversal across three phases: Try A (1...a 2.B#), Try B (1...b 2.C#), and Key C (1...c 2.A#).
try A [B _ _]
try B [_ C _]
key C [_ _ A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes ChangedMate
story "Cyclic pseudo-anti-reversal: Cyclic changed
play across three phases (Try 1.{A}?, Try 1.{B}?, Key
1.{C}!{threat_clause}) parrying reciprocal reversal."
Cyclic permutation of threats and mates across three phases and three defenses: Try 1 threatens A (1...a 2.B#), Try 2 threatens B (1...b 2.C#), Key threatens C (1...c 2.A#).
try (A) [B _ _]
try (B) [_ C _]
key (C) [_ _ A]
subsumes ThreatKey, TransferredMates
story "Pseudo-Cyclic Le Grand: Cyclic transfer of threats
and mates across Try 1.{Tr1}? (threat 2.{A}#),
Try 1.{Tr2}? (threat 2.{B}#), and Key 1.{K}!
(threat 2.{C}#)."
Double Le Grand: Try 1 threatens A (1...a 2.C#), Try 2 threatens B (1...b 2.C#), and Key threatens C (1...a 2.A#, 1...b 2.B#); or double threats AB and CD swap with mates C, D and A, B.
try (A) [C _]
try (B) [_ C]
key (C) [A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Legrand, ThreatKey
story "Double Le Grand: Two distinct pairs of threats and
variations reciprocally exchanged across tries 1.{Tr1}?,
1.{Tr2}?, and key 1.{K}! (threat 2.{C}#, 1...{a} 2.{A}#,
1...{b} 2.{B}#)."
---
try (AB) [C D _]
key (CD) [A B _]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Legrand, ThreatKey
story "Double Le Grand: Double threats (2.{A}#, 2.{B}#)
and variation mates (2.{C}#, 2.{D}#) reciprocally
exchange between Try 1.{Tr}? and Key 1.{K}!."
Condensed double Le Grand: Try 1 threatens AB (refuted by a), Try 2 threatens A (1...a 2.B#), and Key threatens B (1...a 2.A#).
try (AB) [!]
try (A) [B]
key (B) [A]
subsumes Barnes, DoubleThreat, Legrand, ThreatKey
story "Double Le Grand Condensed: Compact reciprocal
transfer between threats and mates across tries
1.{Tr1}?, 1.{Tr2}?, and key 1.{K}! (threat 2.{B}#,
1...{a} 2.{A}#)."
Try threatens A (answers defense a with C and defense b with B); Key threatens B (answers defense a with A and defense b with D).
try (A) [C B]
key (B) [A D]
subsumes ChangedPlay, Isaev, PseudoLeGrand, ThreatKey
story "Dombrovskis Cross-Closed 2: Dual cross-closed
reciprocal relations between try 1.{Tr}? (threat 2.{A}#,
1...{a} 2.{C}#, 1...{b} 2.{B}#) and key 1.{K}!
(threat 2.{B}#, 1...{a} 2.{A}#, 1...{b} 2.{D}#)."
Defense-based Dombrovskis: Try 1 threatens A (1...a 2.C#), Try 2 threatens B (1...b 2.D#), and Key answers defenses a and b with mates A and B.
try (A) [C -]
try (B) [- D]
key [A B]
subsumes ChangedMate, TransferredMates
story "Dombrovskis Defense-Based: Try threats
2.{A}# (1.{Tr1}?) and 2.{B}# (1.{Tr2}?) return as
defensive mates after key 1.{K}!{threat_clause}:
1...{a} 2.{A}# and 1...{b} 2.{B}#."
Ideal Hannelius: Try 1 threatens A (refuted by a, 1...b 2.C#), Try 2 threatens B (1...a 2.D#, refuted by b), and Key answers defenses a and b with mates B and A.
try (A) [! C]
try (B) [D !]
key [B A]
subsumes DombrovskiDefenceBased, DombrovskisReciprocal,
Makrava, Rudenko
story "Ideal Hannelius: Tries 1.{Tr1}? (threat 2.{A}#,
refuted by 1...{a}!) and 1.{Tr2}? (threat 2.{B}#,
refuted by 1...{b}!) have their threats reciprocated
in the key 1.{K}!{threat_clause}: 1...{a} 2.{B}# and
1...{b} 2.{A}#."
Defense-based Hannelius: Try 1 threatens A (1...a 2.C#), Try 2 threatens B (1...b 2.D#), and Key answers defenses a and b reciprocally with mates B and A.
try (A) [C _]
try (B) [_ D]
key [B A]
subsumes ChangedMate, TransferredMates
story "Defense-Based Hannelius: Reciprocated threat-mate
transference across tries 1.{Tr1}?, 1.{Tr2}?,
and key 1.{K}!{threat_clause}: 1...{a} 2.{B}# and
1...{b} 2.{A}#."
Cyclic change of mates across three phases against defenses a and b (A, B / B, C / C, A).
vir [A B]
try [B C]
key [C A]
subsumes ChangedPlay, TransferredMates
story "Zagoruiko Cyclic: Cyclic permutation of changed
mates across three phases (tries 1.{Tr1}?, 1.{Tr2}?,
and key 1.{K}!{threat_clause}) against defenses 1...{a}
and 1...{b}."
Cyclic shift of mates across four Black defenses a, b, c, d between two phases (A, B, C, D to B, C, D, A).
vir [A B C D]
key [B C D A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes FourChangedMates, Rukhlis, RukhlisCondensed
story "Lacny 2×4: Cyclic permutation of four checkmates
across {phase1} and key 1.{K}!{threat_clause}:
A -> B -> C -> D -> A against defenses 1...{a}, 1...{b},
1...{c}, and 1...{d}."
Complete 3-phase Dombrovskis-Lacny cycle: Try 1 threatens A (mates B, C), Try 2 threatens B (mates C, A), Key threatens C (mates A, B) against defenses a and b.
try (A) [B C]
try (B) [C A]
key (C) [A B]
subsumes Brabec3, CyclicLeGrand, DombroLacny, RiceCycle,
ShedeyCycle, TwinThreatChange, Ukrainian,
ZagoruikoCyclic
story "Dombrovskis-Lacny Complete: Full cyclic synthesis
of Dombrovskis threats and Lacny mates across tries
1.{Tr1}?, 1.{Tr2}?, and key 1.{K}! (threat 2.{C}#,
defenses 1...{a} 2.{A}#, 1...{b} 2.{B}#)."
Vladimirov cross-closed 2: Try A answers defense a with C and defense b with B; Key B answers defense a with A and defense b with D (or Try A mates B and Key B mates A).
try A [C B]
key B [A D]
story "Vladimirov Cross-Closed 2: Try 1.{A}? (1...{a}
2.{C}#, 1...{b} 2.{B}#) and Key 1.{B}! (1...{a} 2.{A}#,
1...{b} 2.{D}#) cross-answer the refutations."
---
try A [B]
key B [A]
subsumes ChangedMate
story "Vladimirov Cross-Closed 2: Try 1.{A}? (1...{a}
2.{B}#) and Key 1.{B}! (1...{a} 2.{A}#) reciprocally
exchange first and second moves."
Ideal Vladimirov: Try A (refuted by a, 1...b 2.C#) and Try B (1...a 2.D#, refuted by b) reappear as variation mates A and B against defenses a and b in the Key.
try A [! C]
try B [D !]
key [A B]
subsumes ChangedMate, ReciprocalBanny
story "Vladimirov Ideal: White try moves 1.{A}?
and 1.{B}? reappear as checkmates in the solution
after key 1.{K}!{threat_clause}: 1...{a} 2.{A}# and
1...{b} 2.{B}#."
Cyclic permutation of mates across three defenses a, b, c (e.g., Try answers a, b, c with A, B, C; Key answers a, b, c with B, C, A).
try [A B C]
key [B C A]
with -single_refutation -capture_try_piece -sparse_mates
-few_replies -refutation_is_check -match_threat_count
story "Carousel: Cyclic carousel of checkmates across try
1.{Tr}? and key 1.{K}!{threat_clause}: 1...{a} 2.{B}#,
1...{b} 2.{C}#, 1...{c} 2.{A}#."
---
try [A B !]
try [! C A]
with -single_refutation -capture_try_piece -sparse_mates
-few_replies -refutation_is_check -match_threat_count
story "Carousel: Cyclic shift of mates and refutations
across tries 1.{Tr1}? and 1.{Tr2}? against defenses
1...{a}, 1...{b}, and 1...{c}."
---
vir [A B _]
try [C _ B]
key [_ C A]
with -single_refutation -capture_try_piece -sparse_mates
-few_replies -refutation_is_check -match_threat_count
subsumes ChangedMate
story "Carousel: Cyclic carousel of checkmates 2.{A}#,
2.{B}#, and 2.{C}# across three phases against defenses
1...{a}, 1...{b}, and 1...{c}."
---
vir [A B C]
try [C A !]
key (B) [- C A]
with -single_refutation -capture_try_piece -sparse_mates
-few_replies -refutation_is_check -match_threat_count
subsumes ChangedMate
story "Carousel: Cyclic carousel of checkmates 2.{A}#,
2.{B}#, and 2.{C}# across three phases against defenses
1...{a}, 1...{b}, and 1...{c}."
Counter-cyclic permutation of mates across three defenses a, b, c: Try answers a, b, c with A, B, C; Key answers a, b, c with C, A, B.
try [A B C]
key [C A B]
subsumes Carousel, Lacny, RukhlisCondensed
story "Counter-Carousel: Counter-cyclic carousel
of checkmates across try 1.{Tr}? and key
1.{K}!{threat_clause}: 1...{a} 2.{C}#, 1...{b} 2.{A}#,
1...{c} 2.{B}#."
Anti-carousel counter-cyclic permutation of mates A, B, C across defenses a, b, c (Try: A, B, C; Key: C, A, B).
try [A B C]
key [C A B]
subsumes Lacny, RukhlisCondensed
story "Anti-Carousel: Counter-cyclic permutation
of checkmates across try 1.{Tr}? and key
1.{K}!{threat_clause} against defenses 1...{a}, 1...{b},
and 1...{c}."
---
vir [A B _]
try [C _ B]
key [_ C A]
with -single_refutation -capture_try_piece -sparse_mates
-few_replies
story "Anti-Carousel: Cyclic permutation of checkmates
2.{A}#, 2.{B}#, and 2.{C}# across three phases against
defenses 1...{a}, 1...{b}, and 1...{c}."
Tries 1.A? and 1.B? feature a common variation mate X against two defenses, which the key answers reciprocally with 2.B# and 2.A#.
try A [X _]
try B [_ X]
key [B A]
subsumes ChangedMate
story "Complex Banny: Tries 1.{A}? and 1.{B}? feature
common mate 2.{X}#; Key 1.{K}!{threat_clause} answers
defenses 1...{a} with 2.{B}# and 1...{b} with 2.{A}#."
Ideal Banny: Try A (refuted by a, 1...b 2.C#) and Try B (1...a 2.D#, refuted by b) are answered reciprocally in the Key with 1...a 2.B# and 1...b 2.A#.
try A [! C]
try B [D !]
key [B A]
subsumes BannyInverted, ChangedMate
story "Banny Ideal: Tries 1.{A}? (refuted by 1...{a}!,
allows 1...{b} 2.{C}#) and 1.{B}? (allows
1...{a} 2.{D}#, refuted by 1...{b}!) are answered
reciprocally after key 1.{K}!{threat_clause}:
1...{a} 2.{B}# and 1...{b} 2.{A}#."
Inverted Banny: Try A (refuted by defense a) and Try B (refuted by defense b) are answered reciprocally in a subsequent phase with 1...a 2.B# and 1...b 2.A#.
try A [! _]
try B [_ !]
+any [B A]
story "Banny Inverted: Tries 1.{A}? (refuted
by 1...{a}!) and 1.{B}? (refuted by 1...{b}!) have
inverted reciprocal replies in subsequent play:
1...{a} 2.{B}# and 1...{b} 2.{A}#."
Cyclic inverted Banny: Tries A, B, C (refuted by defenses a, b, c) are answered cyclically in the Key with mates B, C, A.
try A [! _ _]
try B [_ ! _]
try C [_ _ !]
key [B C A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
story "Banny Inverted Cyclic: Three tries 1.{A}?,
1.{B}?, 1.{C}? with individual refutations are
answered cyclically after key 1.{K}!{threat_clause}:
1...{a} 2.{B}#, 1...{b} 2.{C}#, 1...{c} 2.{A}#."
Cyclic Rukhlis transference across three phases and three defenses a, b, c: virtual play (A, B, _), Try (_, A, B), and Key (B, _, A).
vir [A B]
try [_ A B]
key [B _ A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Brabec3, Rukhlis
story "Rukhlis Cyclic: Cyclic transference of mating
replies across {phase1}, try 1.{Tr}?, and key
1.{K}!{threat_clause}."
Cyclic Mäkihovi-Robert synthesis against defense a: Try 1 has triple mate ABC, Try 2 threatens A (mates B), Try 3 threatens B (mates C), Key threatens C (mates A).
try [ABC]
try (A) [B]
try (B) [C]
key (C) [A]
subsumes CyclicLeGrand, MakihoviRobert, Ukrainian
story "Mäkihovi-Robert Cyclic: Cyclic synthesis
of Mäkihovi separation and Robert changed play across
tries 1.{Tr1}?, 1.{Tr2}?, 1.{Tr3}?, and key 1.{K}!
(threat 2.{C}#, defense 1...{a} 2.{A}#)."
Cyclic double threats across three phases: AB -> BC -> CA.
try (AB)
try (BC)
+any (CA)
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes DoubleThreat
story "Cycle of Double Threats: Three phases cyclically
permute double threats: Try 1.{Tr1}? (2.{AB}#),
Try 1.{Tr2}? (2.{BC}#), and 1.{K} (2.{CA}#)."
Cyclic multiple threats across three phases: ABC -> BCD -> CDA.
try (ABC)
try (BCD)
+any (CDA)
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes DoubleThreat
story "Cycle of Multiple Threats: Three phases cyclically
permute triple threats: Try 1.{Tr1}? (2.{ABC}#),
Try 1.{Tr2}? (2.{BCD}#), and 1.{K} (2.{CDA}#)."
Cyclic Odessa across three phases: Try 1 threatens AB (mates C, D on a, b), Try 2 threatens CD (mates E, F on c, d), Key threatens EF (mates A, B on c, d).
try (AB) [C D _ _]
try (CD) [_ _ E F]
key (EF) [_ _ A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes ChangedPlay, KarlstromFleck, Rudenko
story "Odessa Cyclic: Cyclic transfer of threats
to defensive mates across tries 1.{Tr1}?, 1.{Tr2}?,
and key 1.{K}! (threat 2.{EF}#, 1...{c} 2.{A}#,
1...{d} 2.{B}#)."
---
try (AB) [C D _ _ _ _]
try (CD) [_ _ E F _ _]
key (EF) [_ _ _ _ A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes ChangedPlay, KarlstromFleck, Rudenko
story "Odessa Cyclic: Cyclic transfer of threats
to defensive mates across tries 1.{Tr1}?, 1.{Tr2}?,
and key 1.{K}! (threat 2.{EF}#, 1...{e} 2.{A}#,
1...{f} 2.{B}#)."
Cyclic Mai 2 across three phases: Try 1 threatens AB (dual mate CD on a), Try 2 threatens CD (dual mate EF on b), Key threatens EF (dual mate AB on b).
try (AB) [CD _]
try (CD) [_ EF]
key (EF) [_ AB]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
story "Mai 2 Cyclic: Cyclic permutation of threats and
mates across tries 1.{Tr1}?, 1.{Tr2}?, and key 1.{K}!
(threat 2.{EF}#, defenses 2.{AB}#)."
---
try (AB) [CD _ _]
try (CD) [_ EF _]
key (EF) [_ _ AB]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
story "Mai 2 Cyclic: Cyclic permutation of threats and
mates across tries 1.{Tr1}?, 1.{Tr2}?, and key 1.{K}!
(threat 2.{EF}#, defenses 2.{AB}#)."
Cyclic permutation of threats and mates across three phases: Try 1 threatens A (1...a 2.B#), Try 2 threatens B (1...b 2.C#), Key threatens C (1...a 2.A#).
try (A) [B _]
try (B) [_ C]
key (C) [A _]
subsumes ChangedPlay, ThreatKey
story "Reeves cycle: Cyclic permutation of threats
and mates across Try 1.{Tr1}? (2.{A}#), Try 1.{Tr2}?
(2.{B}#), and Key 1.{K}! (2.{C}#)."
Complete cyclic shift between phase moves, threats, and mates against defense a: Try A threatens B (mates C), Try B threatens C (mates A), Key C threatens A (mates B).
try A (B) [C]
try B (C) [A]
key C (A) [B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes CyclicLeGrand, Jurasevic, PseudoErokhin,
Ukrainian, Urania, Volgograd, Zhuravlev
story "Complete Djurasevic: Full cycle of key, threat,
and defensive mate across Try 1.{A}? (threat 2.{B}#),
Try 1.{B}? (threat 2.{C}#), and Key 1.{C}!
(threat 2.{A}#) against defense 1...{a}."
Pseudo-Djurasevic shift across two phases: Try A threatens B (1...a 2.C#); subsequent phase plays B, threatens C (1...b 2.A#).
try A (B) [C _]
+any B (C) [_ A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes ThreatAntiReversal, ThreatKey
story "Pseudo-Djurasevic: Transferred play across
Try 1.{A}? (threat 2.{B}#, 1...{a} 2.{C}#) and 1.{B}
(threat 2.{C}#, 1...{b} 2.{A}#)."
Complete 3-phase pseudo-Djurasevic cycle: Try A threatens B (1...a 2.C#), Try B threatens C (1...b 2.A#), Key C threatens A (1...b 2.B#).
try A (B) [C _]
try B (C) [_ A]
key C (A) [_ B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Jurasevic, Urania, Zhuravlev
story "Pseudo-Djurasevic Complete: Complete cyclic
transfer of mates across Try 1.{A}?, Try 1.{B}?,
and Key 1.{C}! (threat 2.{A}#, 1...{b} 2.{B}#)."
Double Erokhin reciprocal shift: Try A threatens B (answers defenses a, b with C, D); Key C threatens D (answers defenses a, b with B, A).
try A (B) [C D]
key C (D) [B A]
subsumes AntiReversal, ChangedPlay, Erokhin, Isaev,
PseudoLeGrand, PseudoSalazar, ThreatKey, VladimirovCC2
story "Erokhin Double: Double reciprocal shift across
Try 1.{A}? (threat 2.{B}#, defenses 1...{a} 2.{C}#,
1...{b} 2.{D}#) and Key 1.{C}! (threat 2.{D}#,
defenses 1...{a} 2.{B}#, 1...{b} 2.{A}#)."
Erokhin theme: Try B answers defense a with mate A; Key K threatens A and answers defense a with mate B (or Try threatens A and mates B, followed by phase move B mating A).
try B [A]
key K (A) [B]
with -refutation_is_check
story "Erokhin: Try 1.{B}? answers defense 1...{a} with
2.{A}#; Key 1.{K}! threatens 2.{A}# and answers defense
1...{a} with 2.{B}#."
---
try (A) [B]
+any B [A]
with -refutation_is_check -match_threat_count
-capture_try_piece
story "Erokhin: Try 1.{Tr}? threatens 2.{A}# and answers
1...{a} with 2.{B}#; subsequent phase plays 1.{B}! and
answers 1...{a} with 2.{A}#."
---
try Tr (A) [B _]
key B [A Tr]
with -refutation_is_check -match_threat_count
-capture_try_piece
subsumes ChangedMate
story "Erokhin: Try 1.{Tr}? (threat 2.{A}#,
1...{a} 2.{B}#) leads to Key 1.{B}!, where 2.{A}# and
2.{Tr}# appear as variation checkmates."
Three tries are cyclically refuted by Black defenses a, b, c, all three of which are answered by mates A, B, C in the Key.
try [! _ _]
try [_ ! _]
try [_ _ !]
key [A* B* C*]
subsumes ChangedPlay, Makrava
story "Cyclic Refutations: Tries 1.{Tr1}?, 1.{Tr2}?,
and 1.{Tr3}? are cyclically refuted by defenses
1...{a}!, 1...{b}!, and 1...{c}!, resolved by key
1.{K}!{threat_clause}: 1...{a} 2.{A}#, 1...{b} 2.{B}#,
1...{c} 2.{C}#."
Complete cyclic refutations across 3 tries—Try 1 (D, E, !), Try 2 (F, !, G), Try 3 (!, H, I)—resolved in the Key with mates A, B, C against defenses a, b, c.
try [D* E* !]
try [F* ! G*]
try [! H* I*]
key [A* B* C*]
subsumes ChangedPlay, CyclicRefutationsIncomplete, Makrava
story "Complete Cyclic Refutations: Tries 1.{Tr1}?,
1.{Tr2}?, and 1.{Tr3}? with complete cyclic refutations
across defenses 1...{a}!, 1...{b}!, and 1...{c}!,
resolved by key 1.{K}!{threat_clause}: 1...{a} 2.{A}#,
1...{b} 2.{B}#, 1...{c} 2.{C}#."
Incomplete cyclic refutations across 3 tries—Try 1 (D, _, !), Try 2 (!, E, _), Try 3 (_, !, F)—resolved in the Key with mates A, B, C against defenses a, b, c.
try [D* _ !]
try [! E* _]
try [_ ! F*]
key [A* B* C*]
subsumes ChangedMate, CyclicRefutations
story "Incomplete Cyclic Refutations: Tries 1.{Tr1}?,
1.{Tr2}?, and 1.{Tr3}? cyclically refuted across
defenses 1...{a}!, 1...{b}!, and 1...{c}!,
resolved by key 1.{K}!{threat_clause}: 1...{a} 2.{A}#,
1...{b} 2.{B}#, 1...{c} 2.{C}#."
Spelling variant of Dombrovskis: tries threaten A and B (refuted by defenses a and b); Key answers defenses a and b with mates A and B.
try (A) [! _]
try (B) [_ !]
key [A B]
story "Dombrovsky: Changed play across defenses:
1...{a} 2.{A}#, 1...{b} 2.{B}#"
Cyclic sacrifice of White pieces in checkmating lines across phases.
def [a:x@B.from b:x@A.from]
key [A B]
where A.from != B.from, A != B
story "Zilahi: Key 1.{K}!{threat_clause} features
reciprocal sacrifice and capture of the thematic mating
pieces: 1...{a} 2.{A}# vs 1...{b} 2.{B}#."
Try threat X is refuted by defense a; Key neutralizes or deflects a's piece and realizes X as a variation mate.
try T (X) [! B?]
key K [A? X]
where (K.to == a.from || K.to == a.to || K.from == a.to
|| b.from == a.from)
story "Caprice: Try 1.{T}? (threat 2.{X}#) is refuted
by 1...{a}!; Key 1.{K}!{threat_clause} neutralizes
1...{a} and realizes 2.{X}# against 1...{b}."
---
try T (AB) [A B !]
key K (Z)
where same_piece(A, B),
(same_piece(A, Z) || T.threat_count > 2)
with -match_threat_count -capture_try_piece
-single_refutation
story "Caprice: Try 1.{T}? (threats 2.{A}#, 2.{B}#)
separates its threats against 1...{a} and 1...{b},
refuted by 1...{c}!."
---
try T (XY) [- -]
key K [X Y]
where T.threat_count == 2
with -match_threat_count -match_mate_count
story "Caprice: Try 1.{T}? (double threat 2.{X}#,
2.{Y}#) realizes both threats as variation mates
after Key 1.{K}!{threat_clause}: 1...{a} 2.{X}# and
1...{b} 2.{Y}#."
---
try T (XY) [_ _]
key K [A B]
where T.threat_count == 2, a.to == X.to, b.to == Y.to
with -match_threat_count -match_mate_count
story "Caprice: Try 1.{T}? (double threat 2.{X}#, 2.{Y}#);
after Key 1.{K}!{threat_clause}, defenses 1...{a} and
1...{b} to the threat squares allow 2.{A}# and 2.{B}#."
---
try T [A B !]
key K [C D _]
where K.threat_count > 0
with -match_threat_count -match_mate_count
-no_threats_few_replies -no_threats_sparse_mates
-single_refutation
story "Caprice: Try 1.{T}? (1...{a} 2.{A}#,
1...{b} 2.{B}#, refuted by 1...{c}!) is resolved
with changed mates by Key 1.{K}!{threat_clause}:
1...{a} 2.{C}# and 1...{b} 2.{D}#."
---
try Tr1 (X) [Y !]
try Tr2 (XY) [! _]
key K (Y) [X _]
where Tr1.threat_count == 1, Tr2.threat_count == 2
with -match_threat_count -match_mate_count
story "Caprice: Defense 1...{a} (answered by 2.{Y}#
in Try 1.{Tr1}?) transfers to refute Try 1.{Tr2}?,
and is met by 2.{X}# after Key 1.{K}! (threat 2.{Y}#)."
---
try Tr1 [A* !]
try Tr2 [! B*]
key K
where same_square(a, b), a.from != b.from,
Tr1.threat_count > 0, Tr2.threat_count > 0
with -single_refutation -capture_try_piece
-match_threat_count -match_mate_count
story "Caprice: Tries 1.{Tr1}? and 1.{Tr2}? are
reciprocally answered and refuted by defenses 1...{a}
and 1...{b} on {a.to}."
Two tries with threats A and B refuted by a and b; Try 1 answers b with mate B and Try 2 answers a with mate A.
try (A) [! B]
try (B) [A !]
key K
story "Reciprocal Dombrovskis: Tries 1.{Tr1}?
(threat 2.{A}#, refuted by 1...{a}!, 1...{b} 2.{B}#)
and 1.{Tr2}? (threat 2.{B}#, 1...{a} 2.{A}#,
refuted by 1...{b}!) reciprocally answer each other's
refutations before Key 1.{K}!{threat_clause}."
Secondary (defense-level) Dombrovskis: a Black piece's random move a allows general mate A in virtual play while correction move b avoids A; in a subsequent phase, correction move b is answered by mate A while random move a receives changed mate C.
vir [A _]
+any [C A]
where same_piece(a, b)
subsumes ChangedMate, TransferredMates
story "Secondary Dombrovskis: Random move 1...{a} allowed
general mate 2.{A}# in {phase1} (while correction
1...{b} avoided it); in {phase2}, correction 1...{b}
is met by 2.{A}# while 1...{a} receives changed
mate 2.{C}#."
Le Grand or Pseudo-Le Grand reciprocal threat-mate transference where the thematic Black defense is a move of the Black King.
def [a:K]
try (A) [B]
key (B) [A]
subsumes KingFlight, Legrand, ThreatKey, TransferredMates
story "King's Le Grand: Reciprocal exchange of threats
and mates against Black King flight 1...{a} across
Try 1.{Tr}? (threat 2.{A}#, 1...{a} 2.{B}#) and
Key 1.{K}! (threat 2.{B}#, 1...{a} 2.{A}#)."
Flight-giving key combined with Dombrovskis threat-refutation transference across two tries and the key.
try (A) [! _]
try (B) [_ !]
key K [A B]
where K.flights_given > 0
subsumes Dombrovskis, Dombrovsky, FlightGivingKey,
TransferredMates
story "Soviet-French theme: Flight-giving
Key 1.{K}!{threat_clause} resolves Dombrovskis tries
1.{Tr1}? (threat 2.{A}#, refuted by 1...{a}!) and
1.{Tr2}? (threat 2.{B}#, refuted by 1...{b}!) with
1...{a} 2.{A}# and 1...{b} 2.{B}#."
Three-phase cyclic shift between threats and mates against the same Black defense (Try 1 threatens A, mates B; Try 2 threatens B, mates C; Key threatens C, mates A).
try (A) [B]
try (B) [C]
key (C) [A]
subsumes ChangedPlay, ThreatKey, TransferredMates
story "Ukrainian theme: Three-phase cyclic
exchange of threats and mates against 1...{a}:
Try 1.{Tr1}? (threat 2.{A}#, 1...{a} 2.{B}#),
Try 1.{Tr2}? (threat 2.{B}#, 1...{a} 2.{C}#),
and Key 1.{K}! (threat 2.{C}#, 1...{a} 2.{A}#)."
Tries threaten A (1...b 2.B#) and B (1...a 2.A#) individually and AB combined, while the Key threatens C and answers Black defenses a and b with A and B.
try (A) [- -]
try (B) [- -]
try (AB) [- -]
key (C) [A B]
subsumes Barnes, DoubleThreat, PseudoLeGrand, Rudenko,
ThreatKey, TransferredMates
story "Cyclic Pseudo-Le Grand: Tries threatening 2.{A}#
(1...{b} 2.{B}#), 2.{B}# (1...{a} 2.{A}#), and double
threat 2.{AB}# culminate in Key 1.{K}! (threat 2.{C}#),
transferring 2.{A}# and 2.{B}# to variations 1...{a}
and 1...{b}."
Try 1 threatens A; Try 2 answers defense a with A; Key answers defense a with a changed mate C.
try (A) [B]
try (D) [A]
key (E) [C]
subsumes ChangedPlay, ThreatKey
story "Anti-Dombrovskis: Threat 2.{A}# from Try 1.{Tr1}?
becomes the variation mate against 1...{a}
in Try 1.{Tr2}?, before changing to 2.{C}# after
Key 1.{K}! (threat 2.{E}#)."
Try 1 threatens AB; Try 2 threatens B and answers defense b with A; Key threatens A, answers defense a with B, and answers defense b with changed mate C.
try (AB) [_ _]
try (B) [_ A]
key (A) [B C]
subsumes Barnes, ChangedPlay, DoubleThreat, Isaev,
PseudoLeGrand, ThreatKey
story "Anti-Le Grand: Double threat 2.{AB}#
in Try 1.{Tr1}? separates into threat 2.{B}# / mate
2.{A}# in Try 1.{Tr2}?, while Key 1.{K}! threatens
2.{A}#, meets 1...{a} with 2.{B}#, and meets 1...{b}
with changed mate 2.{C}#."
Three-phase cyclic Kiss where the threat in each phase equals a variation mate from the preceding phase.
try (A) [B _ _]
try (B) [_ C _]
key (C) [_ _ A]
subsumes ThreatKey, TransferredMates
story "Cyclic Kiss: Three-phase threat-mate cycle
across Try 1.{Tr1}? (threat 2.{A}#, 1...{a} 2.{B}#),
Try 1.{Tr2}? (threat 2.{B}#, 1...{b} 2.{C}#),
and Key 1.{K}! (threat 2.{C}#, 1...{c} 2.{A}#)."
Three-phase cyclic shift of two mates A, B and a refutation across three Black defenses.
vir [A B !]
try [! A B]
try [B ! A]
key [C D E]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes RukhlisCyclic
story "Anti-Lacny: Cyclic shift of mates 2.{A}#,
2.{B}# and refutations across 1...{a}, 1...{b},
1...{c} in virtual play and Key 1.{K}!."
Three-phase cyclic Threat Reversal where threats A, B, C and variation mates B, C, A cycle across three distinct defenses.
try (A) [B _ _]
try (B) [_ C _]
key (C) [_ _ A]
subsumes ChangedPlay, KissCyclic, PseudoCyclicLeGrand
story "Cyclic Threat Reversal: Threats 2.{A}#, 2.{B}#,
2.{C}# and variation mates cycle across 1...{a},
1...{b}, 1...{c}."
Four tries with distinct threats A, B, C, D refuted by a, b, c, d, all four threats appearing as variation mates after a, b, c, d in the key.
try (A) [! _ _ _]
try (B) [_ ! _ _]
try (C) [_ _ ! _]
try (D) [_ _ _ !]
key [A B C D]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes ChangedPlay, Dad, Dombrovskis, Dombrovsky
story "Double Dombrovskis: Four try threats (2.{A}#,
2.{B}#, 2.{C}#, 2.{D}#) refuted by 1...{a}!, 1...{b}!,
1...{c}!, 1...{d}! become the four variation mates after
Key 1.{K}!{threat_clause}."
Three tries with threats A, B, C refuted by a, b, c, answered in the key by the cyclic permutation B, C, A.
try (A) [! _ _]
try (B) [_ ! _]
try (C) [_ _ !]
key [B C A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Dad
story "Triple Hannelius: Try threats 2.{A}# (refuted
by 1...{a}!), 2.{B}# (refuted by 1...{b}!),
and 2.{C}# (refuted by 1...{c}!) cycle after
Key 1.{K}!{threat_clause}: 1...{a} 2.{B}#,
1...{b} 2.{C}#, 1...{c} 2.{A}#."
Tries 1.A? (refuted by a!) and 1.B? (refuted by b!) have their first moves appear reciprocally against a and b in the key.
try A [! _]
try B [_ !]
key [B A]
subsumes Vladimirov
story "Reciprocal Banny: Try moves 1.{A}? (refuted
by 1...{a}!) and 1.{B}? (refuted by 1...{b}!)
appear reciprocally after Key 1.{K}!{threat_clause}:
1...{a} 2.{B}# and 1...{b} 2.{A}#."
Try 1.A? (refuted by a!, mating with B after b) and Try 1.B? (refuted by b!, mating with A after a) are united in the key with 1...a 2.A# and 1...b 2.B#.
try A [! B]
try B [A !]
key [A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes MoscowTheme, PseudoSalazar, VladimirovIdeal
story "Reciprocal Vladimirov: Tries 1.{A}?
(1...{b} 2.{B}#, refuted by 1...{a}!) and 1.{B}?
(1...{a} 2.{A}#, refuted by 1...{b}!) unite after
Key 1.{K}!{threat_clause}: 1...{a} 2.{A}# and
1...{b} 2.{B}#."
In Phase 1, White plays 1.A (threat 2.B#) with variation 1...a 2.C#; in Phase 2, White plays 1.C (threat 2.D#) with variation 1...a 2.B#.
try A (B) [C]
+any C (D) [B]
where distinct(A, B, C)
with -match_threat_count
subsumes Erokhin, TransferredMates
story "Pseudo Erokhin: Try 1.{A}? (threat 2.{B}#;
1...{a} 2.{C}#) shifts into 1.{C} (threat 2.{D}#;
1...{a} 2.{B}#)."
Three Black defenses on the same square form a cycle of mates/refutations in tries and allow three distinct mates in the key.
try [A ! _]
try [_ B !]
key [A B C]
where same_square(a, b, c),
distinct(a.from, b.from, c.from)
subsumes ArrivalCorrection
story "Cyclic Herpai: On {a.to}, tries fail to 1...{b}!
and 1...{c}! while Key 1.{K}! unites 1...{a} 2.{A}#,
1...{b} 2.{B}#, and 1...{c} 2.{C}#."
Two tries and the Key share the same threat T while cyclically shifting mates A, B, C across defenses a and b (A, B / B, C / C, A).
try (T) [A B]
try (T) [B C]
key (T) [C A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Brabec3, Lacny, RiceCycle, ZagoruikoCyclic
story "Hermanson theme: With common threat 2.{T}#, Try
1.{Tr1}?, Try 1.{Tr2}?, and Key 1.{K}! cyclically shift
2.{A}#, 2.{B}#, and 2.{C}# across 1...{a} and 1...{b}."
A try and a multi-flight-giving key by the same White piece produce changed mates against Black King flights and captures (Caprice + multi-flight key).
try Tr [A B]
key K [C D]
where same_piece(Tr, K), Tr.to != K.to,
K.flights_given >= 2
subsumes ChangedPlay, FlightGivingKey
story "Poltava theme: Try 1.{Tr}? (2.{A}#, 2.{B}#) and
multi-flight Key 1.{K}! (2.{C}#, 2.{D}#) by the same
White {K.role} change the mates."
A try and the key exhibit a three-variation Lacny cyclic shift where all three thematic mates are delivered by the White Queen.
try [A:Q B:Q C:Q]
key [B C A]
where same_piece(A, B, C), distinct(A.to, B.to, C.to)
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes AntiCarousel, ChangedPlay, CounterCarousel
story "Amazon theme: White's Queen cyclically shifts
three mates between Try 1.{Tr}? (1...{a} 2.{A}#,
1...{b} 2.{B}#, 1...{c} 2.{C}#) and Key 1.{K}! (1...{a}
2.{B}#, 1...{b} 2.{C}#, 1...{c} 2.{A}#)."
Try 1.A? (threat 2.B#) answers defenses a and b with 2.C# and 2.D#; the key threatens (CD) and answers a and b with 2.A# and 2.B# (or reciprocal multi-phase combination of Erokhin, Le Grand, and Anti-Reversal).
try A (B) [C D]
try C (D) [A _]
key D (C) [_ B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes AntiReversal, ChangedPlay, Isaev, Legrand,
PseudoErokhin, PseudoLeGrand, Salazar, ThreatReversal,
Urania
story "Surkov-Slesarenko combination: Try 1.{A}? (threat
2.{B}#; 2.{C}#, 2.{D}#), Try 1.{C}? (threat 2.{D}#;
2.{A}#), and Key 1.{D}! (threat 2.{C}#; 2.{B}#)."
---
try A (B) [C D]
key K (CD) [A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes AntiReversal, ChangedPlay, Erokhin, Legrand,
PseudoErokhin, PseudoLeGrand, Rudenko
story "Surkov-Slesarenko combination:
Try 1.{A}? (threat 2.{B}#; 1...{a} 2.{C}#,
1...{b} 2.{D}#) and Key 1.{K}! (threats 2.{C}#, 2.{D}#;
1...{a} 2.{A}#, 1...{b} 2.{B}#)."
---
try Tr (AB) [C D]
key C (D) [A B]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes AntiReversal, ChangedPlay, Erokhin, Legrand,
PseudoErokhin, PseudoLeGrand, Rudenko
story "Surkov-Slesarenko combination: Try 1.{Tr}? (threats
2.{A}#, 2.{B}#; 1...{a} 2.{C}#, 1...{b} 2.{D}#) and Key
1.{C}! (threat 2.{D}#; 1...{a} 2.{A}#, 1...{b} 2.{B}#)."
Set play has mates C and D after defenses a and b; two tries threaten A and B (refuted by a and b respectively); the key answers a and b with A and B (combining Dombrovskis and 3-phase Zagoruiko).
vir [C D]
try (A) [! _]
try (B) [_ !]
key [A B]
subsumes ChangedPlay, Dombrovskis, Dombrovsky
story "Dombro-Zagoruiko: Set play (1...{a} 2.{C}#,
1...{b} 2.{D}#) and Dombrovskis tries (threats 2.{A}#,
2.{B}#) culminate in Key 1.{K}! (1...{a} 2.{A}#,
1...{b} 2.{B}#)."
A three-move cycle (A, B, C) between virtual play and the key where the threat and two defensive mates cyclically shift (Shedey cycle + Lacny).
vir (A) [B C]
key (B) [C A]
with -refutation_is_check -flight_from_check
-capture_try_piece -match_threat_count -match_mate_count
-single_refutation -sparse_mates -few_replies
subsumes Lacny, ShedeyCycle
story "Shedey-Lacny: Mates 2.{A}#, 2.{B}#,
2.{C}# cycle across threat and defenses 1...{a},
1...{b} between virtual play (threat 2.{A}#, 2.{B}#,
2.{C}#) and Key 1.{K}! (threat 2.{B}#, 2.{C}#, 2.{A}#)."
---
vir [A B C]
key (A) [B C A]
subsumes Lacny, ShedeyCycle
story "Shedey-Lacny: Virtual mates 2.{A}#, 2.{B}#,
2.{C}# shift after Key 1.{K}! (threat 2.{A}#) into
1...{a} 2.{B}#, 1...{b} 2.{C}#, and 1...{c} 2.{A}#."
Across two tries and the key, three White moves A, B, C form a complete cycle between threats and variation mates against two Black defenses.
try (A) [B C]
try (B) [C A]
key (C) [A B]
with -match_threat_count
subsumes Brabec3, Isaev, PseudoLeGrand, RiceCycle,
ShedeyCycle, Ukrainian, ZagoruikoCyclic
story "Complete Shedey cycle: Threats and mates (2.{A}#,
2.{B}#, 2.{C}#) cycle completely across Try 1.{Tr1}?,
Try 1.{Tr2}?, and Key 1.{K}!."