Grasshopper Chess

© 2002 by G. P. Jelliss, solutions concealed 2010

The Gracehoper was always jigging ajog, happy on akkant of his joyicity.
[James Joyce, Finnegan's Wake, 1939, pt.3, p.414.]


Chess Problems Index
Sections on this page: Historical IntroductionTechnical IntroductionHelmates in 2Helmates in 3Helmates in 4 or moreDirectmates in 2Directmate in 3ReflexmateSerieshelpmateSelfmateMaximummer SelfmatesRetractorHelpstalemateEnd.

é Historical Introduction

1913 — The grasshopper of the chessboard was revealed to the world on Thursday the 3rd of July 1913 in the chess column of the Cheltenham Examiner newspaper. It was the subject of Part XI of a series by T. R. Dawson on “Caissa's Playthings” (the other pieces dealt with in the series were leapers, knighted men and neutrals). Dawson began; “This is another piece I have worked on quite a considerable time, though for the first time publishing any material on it. It is somewhat similar to the Chinese cannon, which only attacks an adverse man if some other man intervene. The grasshopper moves queenwise, but only to a square immediately beyond one man in the line.” Two mates in two were given (to see these go to: Caissa's Playthings). The first of these was diagrammed using inverted queens to denote grasshoppers; a convention that has been established ever since. In fact many editors now take it for granted that upside-down queens will immediately be recognised as denoting grasshoppers and do not bother to point out their existence, let alone give a definition. (The same goes for Dawson's other major piece invention the nightrider, which is shown as an inverted knight.) At the end of the article the column's editor, W. S. Branch, commented; “We suppose the above are the first printed problems in Grasshopper Chess! Mr Dawson is like the sentry in Glbert's opera, who thinks of things that would astonish you!”

1925 — The first composing tourney for chess problems using grasshoppers was held in the Chess Amateur in 1925. The first prize was won by G. C. Alvey (BCPS Honours 1926-7, No.69). In 1926, also in Chess Amateur, W. E. Lester made a study of Grasshopper “mutates” (i.e. direct-play changed-mate problems). For examples see below.

1930 — In the introduction to the first issue of the Problemist Fairy Chess Supplement (1st of August 1930), a programme of issue topics was announced, each issue to be judged as an informal tourney, with honorary prize positions being awarded. The first of these topics, for the October issue, was for grasshopper problems (the other topics were, in order, retros, twins and nightriders). No definition of the grasshopper was given, yet by October the editor (Dawson) could announce: “My request for grasshopper problems has resulted in a deluge of 67 contributions! Alas, compress as I may I must leave out many delightful compositions” — 23 were given in that issue. A definition of the grasshopper was given here, presumably for the benefit of newcomers. A short history of the piece was then given (from which some of the above information comes), concluding with the remarks: “The grasshopper is easily the most popular new piece yet studied, the world's output being now well into the second thousand. It has been a standing jest among my more intimate chess friends that in spite of this swarm, I had never seen a real living grasshopper — until this summer I found one in my own garden!” In the same year the Essen Anzeiger fourth tourney was for direct mates or selfmates in which white has only one king and one grasshopper.

1951 — T. R. Dawson died on the 16th of December 1951, having just guided the Fairy Chess Review (including PFCS) into its 21st year of publication. The cover problem of volume 8 (August 1951) was a C. M. Fox grasshopper helpstalemate, and the first article is an "Echo of the Past" by T. R. D. who wrote: “The arrival of our birthday number has cast my mind back to our youthful days. It fell on our lost friend W. E. Lester and his famous plague of grasshopper mutates in the Chess Amateur in June 1926 before the FCR began.” There follow seven lightweight mutates by Dawson. The next issue of FCR, delayed to February 1952, reported Dawson's death, and the obituary terminated with this salutation: “Envoi. We came upon a small set of drawer files. In one of them were T.R.D.'s unpublished problems, and tucked away in another a small cardboard box bearing on the lid the name of a Swedish business house. Inside, on a bed of wadding, lay a fine specimen of a real grasshopper a full two inches in length, still resplendent and instinct with life.”


é Technical Introduction

On a vacant board the grasshopper cannot move; it is a gregarious piece. In this it differs from its precursors, such as draughtsmen or cannon, which are capable of non-hopping movement. The grasshopper's move is over one piece of any colour to the next cell beyond. It captures in the usual chessic way by occupying the cell of its victim. It was pointed out in the first issue of PFCS that although a G, acting over the opposing K, guards the cell beyond, this does not prevent the K from moving there, since the cell is no longer guarded once the move is completed.

Why is the grasshopper still the most popular unorthodox piece? I think the answer lies in the complementary nature of hoppers to the orthodox chessmen which are all leapers and riders. It therefore provides an added element of chessic principle that is missing from the orthodox realm. When compared with other hoppers: unlike the equihopper it has access to the whole board, and unlike the lion, leo and their kin its move in any direction is necessarily unique — a great attraction in the composition of problems, where the forcing of an exact sequence of moves is of the essence. The G is also of intermediate power between these other two types of hopper. It so happens that the average maximum mobility of the G is the same as that of the knight (5.25).

If we accept the now customary conventions among problemists (a) that problem positions must be legal in the sense of being reachable by correct play from the usual opening position and (b) that any unorthodox pieces in the position must have appeared by promotion of pawns, then the first grasshopper composition, having 5 black grasshoppers and 5 black pawns, was illegal. These conventions however are still ignored by composers when seeking to achieve some maximum task. Legality can be maintained by allowing that any extra grasshoppers were already present on the board at the start of play.

Games players who wish to experience play with grasshoppers and do not wish to fight their way through to a pawn promotion before seeing their first grasshopper on the board will prefer to start the game by moving their pawns forward one rank and filling in the gap with a row of eight grassshoppers. This Grasshopper Chess variant appeared in Joseph Boyer's 1951 book Les Jeux D'Echecs non Orthodoxes and has been played regularly by members of the US club called the Knights of the Square Table.

During the 1970s I made a collection of some 3000 grasshopper problems, confined to those using Gs on the 8×8 board with no other unorthodox pieces or rules, although I gave up maintaining it because it got out of control. (The use of computers may enable me to get it back on stream in due course.) About one third of these were helpmates, one third directmates, and the other third assorted stipulations such as selfmates, seriesplay, maximummers and retractors. The following few problems from this collection have been chosen for the clarity with which they demonstrate the sorts of tricks the G can get up to. I hope to add others soon.

To read the solutions and comments hold down the left mouse key and run the cursor across the blank area.


é HELPMATES IN 2

C.C.Palmer
Falkirk Herald 7 February 1934
Helpmate in 2

Solution: 1.Ge6 Gh7 2.Gg8 Gh5‡

Comment: Gh7 serves only as hurdle.

R.McClure
Fairy Chess Review 1941
Helpmate in 2 (a) diagram (b) a4 - a3.

Solution: (a) 1.Ba3 Kc7 2.Rb4 Bb6‡
(b) 1.Ra4 Bf2 2.Bb4 Gf1‡

Comment: Modal changes.

J.E.H.Creed
Fairy Chess Review 1944
Helpmate in 2 with set play

Solution: Set: 1...e4 2.Gd4 Gg-e3‡
Play: 1.Qc5 Kg6 2.Ge4 Nf4‡

Theme: A complete change in the mate.


é HELPMATES IN 3

J.Dohrn-Luttgens
Feenschach 1957
Helpmate in 3 with two set plays

Solution: Set: 1... Ne2 2.Ge4 Gd4 3.Gc2 Nc3‡
and 1... Gh2 2.Gf2 Ne2 3.Gd2 Nc3‡
Play: 1.Ge4 Gd4 2.Gc4 Nf1 3.Ge2 Ne3‡

Theme: I call this type of problem a ‘permutate’, since the guards and blocks round the king are permuted.

C.E.Kemp
Fairy Chess Review 1939
Helpmate in 3 (a) Na2 (b) Na3 (c) Nb5

Solution: (a) 1.Ke5 Kd3 2.Nd6 Ge7† 3.Kd5 Nb4‡
(b) 1.Nh6 Nb1 2.Nf5 Gg5 3.Nf4 Nd2‡
(c) 1.Nf-g5 Gc3 2.Nf3 Gg3 3.Nf4 Nd6‡

Theme: Exact Echoes. The transformation (a)-(b) is reflection in the a1-h8 diagonal and (b)-(c) reflection in the 4th rank, while (a)-(c) is a 90° rotation about d4. Thus demonstrating the geometrical theorem that successive reflections about two lines at an angle are equivalent to a rotation through twice that angle.

E.Albert
Feenschach 1964
Helpmate in 3 with set play

Solution: Set: 1...Nc6‡
Play: 1.Gd3 Nb3 2.Gd5-f5 Nd4 3.Gd3-d5 Nc6‡

Features: G-G interchange. Zero echo. Effective knight circuit.

B.Rehm
Feenschach 1950
Helpmate in 3 with set play

Solution: Set: 1....Gc5 2.Rc7 Gc8 3.Gd7 Nf5‡
Play: 1.e6 Nf3 2.Ge7 Gf4 3.Rc7 Ne5‡

Comment: Mutate.

C.C.L.Sells
British Chess Magazine 1970
Helpmate in 3, zeroposition. (a) remove B (b) remove R

Solution: (a) 1.Gd3 Re5† 2.Kd4 Gd6 3.Kc3 Rc5‡
(b) 1.Kf3 Bg8 2.Gf2 Gg1 3.Gg3 Bd5‡

Comment: Modal relationship. Symmetric finales (apart from WK).


é HELPMATES IN 4 OR MORE

C.E.Kemp
Fairy Chess Review August 1940
Helpmate in 4

Solution: 1.Kf5 Kf8 2.Kg6 Ne2 3.Kh7 Nf4 4.Kh8 Ng6‡

Comment: Asymmetry, N-line.

C.Seneca
Themes 64 1961
Helpmate in 4 (a) diagram (b) Bc5-a7

Solution: (a) 1.Kd3 Gb6 2.Kc2 Be3 3.Kb1 Bc1 4.Ka1 Bb2‡
(b) 1.Kd5 Kb4 2.Kc6 Ga4 3.Kb7 Ka5 4.Ka8 Kb6‡

Comment: Mutate.

G.Meguerditchian
Greetings from Egypt to T. R. Dawson 1939
Helpmate in 4
Motto: “The watchman”

Solution: 1.Ga6-e2 Gd3-h7 (the asymmetric move) 2.Kd3 Ge3-e1 3.Gg6-c2 Gc3-c1 4.Gd4-d2 Ge1-b1‡ (Gc2-e4 causes self-check by Gh7)

Theme: asymmetry

T.R.Dawson & C.M.Fox
Problemist Fairy Chess Supplement August 1932
Helpmate in 6

Solution: 1.Kd5 Kf3 2.Ke6 Ke4 3.Kf6 Kd5 4.Kg7 Ke6 5.Kh7 Kf7 6.Kh8 Ng6‡

Comment: Same mate as Kemp HM4, but with WG further away.

C.M.Fox
Problemist Fairy Chess Supplement 1936
Helpmate in 7

Solution: 1.Kb2 Ga1 2.Ga2 Ga3 3.Gd1 Gc1 4.Kb3 Ke5 5.Ga4 Kd4 6.Ka3 Kc3 7.Gb1 Ga1‡

Effect: Black G-formation rotated 90° from diagram to finale.


é DIRECT MATES IN 2

W.E.Lester
Fairy Chess Review October 1940 (#4606) *
Mate in 2 with set play.

Solution: Set: 1...d5/Gd5 2.Nf4‡
Play: 1.Ga8 d5/Gd5 2.G×g8/Ga6‡

Comment: Mutate. A sort of Grimshaw; but each piece is not merely interfered with by the other but totally immobilised so that WG can use it as a hurdle to give check.

* The position was corrected in the December issue, all pieces except Ra7, Ga5 being moved one file right to avoid a dual.

T.R.Dawson
Pittsburgh Gazette-Times 18 March 1915
Mate in 2 (11 men)

Solution: 1.Bh7 Ge8/Gf2/Gh8/Ga8/G×a2 2.Bb1/Gh8/G×h8/G×a8/Rb1‡

Comment: Corner-rattler

T.R.Dawson
Essener Anzeiger 1925
Mate in 2 (12 men)

Solution: 1.Gf4 K×f4/else 2.Ng-f5/Nd-f5‡

Comment: Key piece vacates a K flight square (impossible in orthodox chess).

G.Leathem
Deutsche Marchenschachzeitung 1932
Mate in 2 (12 men)

Solution: 1.Gb-d1 (threat 2.Qb1‡)
1...Qc3 2.Qb2‡
1...Qa3 2.Qa2‡
1...Q×Gd1 2.R×Qd1‡
1...Qc2 does not stop 2.Qb1‡ despite double attack on b1.

Comment: Three pins and antipins of BQ.

G.C.Alvey
Chess Amateur 1925
Mate in 2 (16 men)

Solution: 1.c4 (threat 2.Qd5‡)
1...Kd6 2.Qd5‡
1...G×h8 2.Qe7‡
1...Gb3 2.Ne8‡
1...Gd6 2.Ne6‡
1...Gg5 2.Nf5‡
1...Gc3 2.Bb8‡

Comment: Remarkable variety of motives.

T.R.Dawson & J.E.H.Creed
British Chess Magazine 1943
Mate in 2 (16 men)

Solution: 1.Ne3 (unpin) Ge1/Gb8/Gf8 2.N3-g4/N5-g4/Bg4‡

Comment: The piece over which the BG could hop to block the check line moves to act as the hurdle for the check.


é DIRECT MATE IN 3

E.E.Westbury
Fairy Chess Review 1939
Mate in 3 (11 men)

Solution: 1.Kb3
1...Kb6 2.Bf2† Ka5 3.Ga3‡
1...Gf5/1 2.Ga3†† Kb6 3.Bf2‡
1...Ge5 2.Gf6† Gb4 3.B×b4‡

Comment: Elegant model mates. Three variations, unspectacular.


é REFLEX MATE

C.Seneca
Themes 64 1957
Reflexmate in 6

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

Comment: Grasshopper promotion. Subtle control of move order:
1.Gb1? f5 1.Bd4? 2.Bc5‡ 1.Rb8? 3.Bb2‡


é SERIESHELPMATE

C.C.L.Sells
Feenschach 1973
Serieshelpmate in 6

Solution: Set mate: 1...f×g(en passant)‡
Play: 1.K×g4 2.Kf3 3.K×e4 4.Kd5 5.Kd6 6.e5 for f×e(e.p.)‡

Comment: The grasshopper method of proving en passant capture legal.
Diagonal and lateral modes.


é SELFMATE

W.H.Reilly
Feenschach 1961
Selfmate in 4

Solution: 1.Bc4 B any 2.Ga4† Bb4 3.Bd3† Bd2 4.Be4† Bf4‡

Comment: G pins but cannot capture pinned piece (‘soft pin’).


é MAXIMUMMER SELFMATES

G.A.Ekestubbe
Eskilstuna Kuriren 1943
Maximummer Selfmate in 3

Solution: 1.Gh1 Qb6 2.Gb5 Qg1 3.Gb1 (pinning Q) Qc1‡

Comment: Queen move along pin line, stopping short before capture of hurdle.

B.Rehm
Feenschach 1957
Maximummer Selfmate in 3

Solution: 1.Qd4 (double unpin) Bh4 2.Kf4 Qh7 3.Be7† Qe4‡

Comment: Antipin (stops Q×Qe4)

C.M.Fox
Die Schwalbe 1934
Maximummer Selfmate in 4 (a) diagram (b) Gh1 - c7

Solution: (a) 1.Bg2 Gf3 2.Bf1 Kb3 3.Bd3 Gc3 4.Bb1 Gb2‡
(b) 1.Bc6† Kb3 2.Bb5 Kc2 3.Bc4 Gc3 4.Ba2 Gb2‡

Comment: Exact echo. Some short maximum moves.


é RETRACTOR

C.Becker
Feenschach 1949
White and Black Retract 1 move for Helpmate in 1, with set play.

Solution: Set: Retract c4×Nd3 for 1.Rd2 Ne1‡
Play: Retract Kc4×Qc5 Qh5×Gc5 for 1.Qd1 Kb4‡


é HELPSTALEMATE

C.M.Fox
Problemist Fairy Chess Supplement 1935
Helpstalemate in 3 with set play

Solution: Set: 1...Gb6 2.Gd7 G×c7 3.Gb7 Gb×b7. Stalemate.
Play: 1.Na6 Ga5 2.Na7 Gb8 3.Nc8 Ga7. Stalemate. (Ns pinned)

Comment: Both finales symmetric, but quite different.


Sections on this page: TopHistorical IntroductionTechnical IntroductionHelmates in 2Helmates in 3Helmates in 4 or moreDirectmates in 2Directmate in 3ReflexmateSerieshelpmateSelfmateMaximummer SelfmatesRetractorHelpstalemate.
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