Grasshopper Chess: Reflexmates

In a reflexmate, White plays so as to force Black to give mate in the stated number of moves,
with the added condition that either side must mate on the move if possible.

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Reflexmate in 1

6 men 4 types (KRSG) 1G

H. Rossler
Feenschach 1975
Reflexmate in 1, with set mate

Solution: Set: 1... Se3‡ Play: 1.Rc2+ Sc3(++)‡

Comments: Permutate (of guards/blocks on abc2).

Reflexmate in 2

6 men 3 types (KGP) 1G

H. Rossler
Feenschach 1975
Reflexmate in 2, with set play

Solution: Set: 1... Kd1 2.Kb2 c1=Q‡ Play: 1.Gxa4 Kd2 2.Ga2+ c1=Q‡

Comments: WG switchback.

6 men 4 types (KQSP) 1G

H. Rossler
Feenschach 1975
Reflexmate in 2, with set play

Solution: Set: 1... a2 2.Qd1 a1=Q/R‡ Play: 1.Gb1 a2 2.Qd1 a1=G‡

Comments: In the set the WG is prevented from intervening, and in the play is prevented from escaping.

12men 7 types (KQRBSGP) 3G

C. G. Rains
British Chess Magazine Jul 1978 (11412)
Reflexmate in 2

Solution: 1.Rb8 (threat 2.Sa2 Rc2‡)
1... Rxc3 2.Ga2 Rc2‡ 1... Qb7 2.Kc2 Pb1=Q‡ 1... Qa6 2.Sd1 Rc2‡ 1... Ra7 2.Sb5 Qc2‡


15 men 5 types (KRBGP) 1G

T. R. Dawson
Pittsburgh Post 1926
Reflexmate in 2

Solution: 1.Ra8 1... b6/b5 2.Bb8 Gxa8‡ 1... Kxc4 2.Bd6 Gd5‡ 1... f6 2.g8=G Gh8‡

Comments: The first G reflex.

15 men 6 types (KRBSGP) 5G

J. Oudot
Problemnoter 1962
Reflexmate in 2

Solution: 1.Gff3 (threat 2.Rc2 f1=Q‡) 1... f1=Q/R/B/S/G
2.Kc2/Ke2/Sd3/Se6/Se2 for Qc1/Re1/Be2/Se3/Gd3 ‡

Comments: All five promotions.

19 men 6 types (KRBSGP) 4G

C. G. Rains
British Chess Magazine Sep 1978 (11443)
Reflexmate in 2

Solution: 1.Re5 1... Bxb8 2.Re7 Gd8‡ 1... Sc3 2.Re6 Ga2‡ 1...Sxb6 2.Re4 Ga8‡
1... d3 2.Re3 Gd2‡ 1... Sc1 2.Sc2 Sxb3‡ 1... Bc7 2.Gd6 Bxb6‡ 1... Bxe5 2.Gc4 Gd8‡

Comments: Four unpins of BG by WR

19 men 7 types (KQRBSGP) 8G

J. M. Trillon
Themes 64 1968
Reflexmate in 2

Solution: 1.Sf6+ 1... Sh7 2.b3 Ga8‡ 1...Bh7 2.Bb3 Gc1‡
1... Rh7 2.Gbb3 Ge5‡ 1... Gh7 2.Gdb3 Ga4‡

Comments: Convergence of 4 men on h7 and b3.

20 men 6 types (KRBSGP) 2G

R. C. Sanz
Feenschach 1963 (6522)
Reflexmate in 2

Solution: 1.Sfxe4 (threat 2.Sd6+ cxd6‡ 1... Sd5/Selse 2.Gd4-d6/Gb8-d6 cxd6‡

Comments: Black correction.

Reflexmate in 3

14 men 6 types (KRBSGP) 3G

M. Bukofzer
Fairy Chess Review 1939 (3861)
Reflexmate in 3

Solution: 1.h5
1... Gf3 2.Rb5+ Kc7 3.f5 Re4‡
1... Gh4 2.Rc6+ Ka5 3.Re6 Rd5‡

Comments: "Two most elegant variations" TRD. Echoed play

17 men 7 types (KQRBSGP) 3G

M. Bukofzer
Pittsburgh Post Apr 1927
Reflexmate in 3

Solution: 1.Gc1
1... Gc6 2.Gc3+ bxc3 3.Be5 Sd5‡
1... Gh8 2.Se7 Gh4 3.Bf4 Sc4‡

Comments: BG guards e4 in each mate.

Reflexmate in 4

7 men 5 types (KQSGP) 1G

C. Seneca
Le Monde des Echecs 1946
Reflexmate in 4

Solution: 1.Qh3 g4 2.Qh2 g3 3.Qh1 g2 4.Sa4 gxh1=G‡

Comments: Reflex avoidance. One hiding place for S.

15 men 4 types (KRGP) 3G

P. A. Petkow
Feenschach 1964 (6573)
Reflexmate in 4

Solution: 1.f7
1... f4 2.Gxg5 f3 3.Ge8 f2 4.Gg8 f1=G‡
1... g4 2.Gxf5 g3 3.Kg8 g2 4.Gff8 g1=Q‡

Comments: Echoed play and mate.

Reflexmate in 6

8 men

Themes 64 1957
Reflexmate in 6

Solution: 1.c5 f6 2.Gb1 f5 3.Bd4 f4 4.Bg1 f3 5.Rb8! f2 6.Bh7! f1=G‡

Comment: Grasshopper promotion, excelsior. Subtle control of move order, reflex-avoidance:
Tries: 1.Gb1? f5 — 1.Bd4? 2.Bc5‡ — 1.Rb8? 3.Bb2‡

Reflexmate in 11

6 men 3 types (KGP) 2G

G. Rinder
Feenschach 1975
Reflexmate in 11

Solution: 1.d4 Gc4 2.d5 Ge6 3.d6 Gc6 4.d7 Ge8 5.d8=S Gc8
6.Se6 Gf5 7.Sc5 Gb5 8.Sb3 Gb2 9.Sd2 Ge2
10.Ge1 Gc2 11.Gg1 hxg1=Q‡

Comments: Excelsior. Circuit by P/S. Almost a self-solver.

Reflexmate in 17

7 men 4 types (KRGP) 3G

N. Petrovic
Feenschach 1975
Reflexmate in 17

Solution: 1.Kg1 Kh3 2.Rg5 h4 3.Gd4 Gd5 4.Rg8 Gd3 5.Kh1 Gd5
6.Gd6 Gd7 7.Gc5 Gd5 8.Gb4 Gb5 9.Ga3 Gb3 10.Gc3 Gb5/d3
11.Rg2 Gb3 12.Gd2 Gd3 13.Gh2 Gb3 14.Gf2 Gd3 15.Ge3 Gf3+
16.Rg3+ hxg3 17.Gg1 g2(++)‡

Comments: Circuit by BG.

12 men 5 types (KBSGP) 1G

P. A. Petkow
Feenschach 1961 (5174)
Reflexmate in 17

Solution: 1.g5 Bh7 2.Ke2 Bg8 3.Kf3 ~ 4.Kg4 ~ 5.Gh4 ~
6.c4 ~ ... 10.c8=B ~ 11.Bxa6 ~ 12.Bc8 ~ 13.a6 ~ 14.a7 ~ 15.a8=G Bh7
16.Bf5 gxf5+ (not Bg8 selfcheck) 17.Kh5 Bg6‡

Comments: ~ denotes alternating repeated moves Excelsior


Source Problem number and date

Solution: 1. ‡