Minichess

Minichess
Magnus Carlsen promoting 5x6 chess variant Chess Attack

Minichess is a family of chess variants played with regular chess pieces and standard rules, but on a smaller board.[1] The motivation for these variants is to make the game simpler and shorter than the standard chess. Martin Gardner recommended 5x5 chess variant to fill short breaks during the work. The first chess-like game implemented on a computer was a 6x6 chess variant Los Alamos chess. The low memory capacity of the early days computer required reduced board size and smaller number of pieces to make the game implementable on a computer.

Contents

3x3 and 3x4 boards

Chess on a 3x3 board does not have any clearly defined starting position. However, it is a solved game: the outcome of every possible position is known. The best move for each side is known as well. The game was solved independently by Aloril in 2001 and by Kirill Kryukov in 2004. The solution by Kryukov is more complete, since it allows pawns to be placed everywhere, not only on second row as by Aloril. The longest checkmate on 3x3 board takes 16 moves. The number of legal positions is 304,545,552.[2]

In 2009 Kryukov reported solving 3x4 chess.[3] On this board there are 167,303,246,916 legal positions and the longest checkmate takes 43 moves.

4x4 and 4x5 chess

a4 b4 c4 d4
a3 b3 c3 d3
a2 b2 c2 d2
a1 b1 c1 d1
Silverman 4x4
a5 b5 c5 d5
a4 b4 c4 d4
a3 b3 c3 d3
a2 b2 c2 d2
a1 b1 c1 d1
Silverman 4x5
a5 b5 c5 d5
a4 b4 c4 d4
a3 b3 c3 d3
a2 b2 c2 d2
a1 b1 c1 d1
Microchess

In 1981 Silverman suggested 4x4 chess variant shown on the diagram.[4] The first player wins easily in this game (1. axb3+ Qxb3 2. cxb3+ Kxb3 (or 2...Kb4 3. bxc3 checkmate) 3. bxa3+ Kc4 4. Qa2 checkmate) , so Silverman proposed a variant: Black can select a pawn, and White must make a first move with this pawn. However, in this case Black wins even more easily (select pawn b2, 1.bxa3 (or 1.bxc3) b2+ 2. Qxb2 Qxb2 checkmate). To make the variant more playable, Silverman finally proposed to insert a row between pawns and use the board 4x5. In this variant pawns can do double-move if target square is free.

Another chess variant on 4x5 board, Microchess was invented by Glimne in 1997.[4] Castling is allowed in this variant.

5x5 chess

a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Gardner
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Baby chess
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Jacobs-Meirovitz
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Mallett

A 5x5 board is the smallest which can contain all kinds of chess pieces. In 1969, Martin Gardner suggested a chess variant on 5x5 board in which all chess moves, including pawn double-move, en-passant capture as well as castling can be made.[5] Later AISE (Associazione Italiana Scacchi Eterodossi) abandoned pawn double-move and castling. The game was largely played in Italy (including by correspondence) and opening theory was developed. The statistics of the finished games is the following:[4]

  • White won 40% of games.
  • Black won 28%.
  • 32% were draws.

Gardner minichess was also played by AISE with suicide chess and progressive chess rules. In 1980 HP shipped HP-41C programmable calculator, which could play this game.[6] The calculator was able to play on quite a decent level.

In 1989, Martin Gardner proposed another setup, which he called Baby chess. In difference from Gardner minichess, kings are placed into opposite corners here. Paul Jacobs and Marco Meirovitz suggested another starting position for 5x5 chess shown at the right. Jeff Mallett (main developer of Zillions of Games), suggested setup in which white has two knights against two black bishops.[7]

5x6 chess

a6 b6 c6 d6 e6
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Petty chess
a6 b6 c6 d6 e6
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Speed chess
a6 b6 c6 d6 e6
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
QuickChess
a6 b6 c6 d6 e6
a5 b5 c5 d5 e5
a4 b4 c4 d4 e4
a3 b3 c3 d3 e3
a2 b2 c2 d2 e2
a1 b1 c1 d1 e1
Elena chess

There are several chess variants on 5x6 board. The earliest published one is Petty chess, which was invented by Walker Watson in 1930. Speed chess was invented by Mr. den Oude in 1988.[8] Elena chess was invented by Sergei Sirotkin in 1999.

QuickChess was invented by Joseph Miccio in 1991.[9] Pawn double-move and castling are not allowed in this variant, pawns can only promote to captured pieces. The game was sold by Amerigames International and received National Parenting Publications Award in 1993. Miccio obtained an USA patent in 1993, which described 3 further chess variant on 5x6 board.[10] Besides two variants similar to Speed chess and Elena Chess (same position of white pieces, position of black pieces is symmetrical), the patent claimed one further variant, which have been named later Chess Attack. Miccio advocated these games as educational tools for chidren to learn chess rules. The smaller board and less pieces would reduce the complexity of the game and allow for more quicker games. The piece setup like in Speed chess was intended to teach short side castling and setup as in Chess Attack - long side castling.

Laszlo Polgar published a book in 1994 Minichess 777+1 Positions (Quickchess teaches chess quick)[11], completely devoted to chess on 5x6 board. Besides initial setup as in QuickChess, Polgar proposed to use any other possible setup of pieces, even asymmetrical one. The book contained problems, combinations and games for 5x6 chess. Polgar recommended to use is as a first book to teach children to play chess.

Chess Attack, which has the same setup as Gardner minichess (but played on a bigger board) is sold by Norway company Yes Games AS since 2008. In this variant, pawns can make double-moves and en-passant capture is allowed. The game was endorsed by Magnus Carlsen and Alexandra Kosteniuk.

6x6 chess

Solid white.svg a b c d e f Solid white.svg
6 a6 black rook b6 black bishop c6 black knight d6 black king e6 black bishop f6 black rook 6
5 a5 black pawn b5 black pawn c5 black pawn d5 black pawn e5 black pawn f5 black pawn 5
4 a4 black king b4 black king c4 black king d4 black king e4 black king f4 black king 4
3 a3 black king b3 black king c3 black king d3 black king e3 black king f3 black king 3
2 a2 white pawn b2 white pawn c2 white pawn d2 white pawn e2 white pawn f2 white pawn 2
1 a1 white rook b1 white bishop c1 white knight d1 white king e1 white bishop f1 white rook 1
Solid white.svg a b c d e f Solid white.svg
Diana chess
Solid white.svg a b c d e f Solid white.svg
6 a6 black rook b6 black bishop c6 black king d6 black knight e6 black bishop f6 black rook 6
5 a5 black pawn b5 black pawn c5 black pawn d5 black pawn e5 black pawn f5 black pawn 5
4 a4 black king b4 black king c4 black king d4 black king e4 black king f4 black king 4
3 a3 black king b3 black king c3 black king d3 black king e3 black king f3 black king 3
2 a2 white pawn b2 white pawn c2 white pawn d2 white pawn e2 white pawn f2 white pawn 2
1 a1 white rook b1 white bishop c1 white knight d1 white king e1 white bishop f1 white rook 1
Solid white.svg a b c d e f Solid white.svg
L'Hermitte chess
Solid white.svg a b c d e f Solid white.svg
6 a6 black rook b6 black knight c6 black queen d6 black king e6 black knight f6 black rook 6
5 a5 black pawn b5 black pawn c5 black pawn d5 black pawn e5 black pawn f5 black pawn 5
4 a4 black king b4 black king c4 black king d4 black king e4 black king f4 black king 4
3 a3 black king b3 black king c3 black king d3 black king e3 black king f3 black king 3
2 a2 white pawn b2 white pawn c2 white pawn d2 white pawn e2 white pawn f2 white pawn 2
1 a1 white rook b1 white knight c1 white queen d1 white king e1 white knight f1 white rook 1
Solid white.svg a b c d e f Solid white.svg
Los Alamos chess

Besides Los Alamos chess, there are other chess variants played on a 6x6 board. The game Diana chess (or Ladies chess) was suggested by Hopwood in 1870. The initial position is shown above. There are no queens on the board and pawns can't promote to queens either. Pawns cannot move forward two squares on their initial move. Castling is done by switching the positions of the king and rook. The same condition as in chess apply for castling (e.g. the king should not be under check, neither rook nor king should have moved before etc.)

Serge L'Hermitte suggested in 1969 a game with nearly the same setup as Diana chess, except that the positions of the black king and knight are exchanged from their positions in Diana chess. Additionally, knights cannot move within the first three moves, and the king can move to the knight position without losing the right to castle.

Solid white.svg a b c d e f Solid white.svg
6 a6 black knight b6 black bishop c6 black queen d6 black king e6 black bishop f6 black knight 6
5 a5 black pawn b5 black pawn c5 black pawn d5 black pawn e5 black pawn f5 black pawn 5
4 a4 black king b4 black king c4 black king d4 black king e4 black king f4 black king 4
3 a3 black king b3 black king c3 black king d3 black king e3 black king f3 black king 3
2 a2 white pawn b2 white pawn c2 white pawn d2 white pawn e2 white pawn f2 white pawn 2
1 a1 white knight b1 white bishop c1 white queen d1 white king e1 white bishop f1 white knight 1
Solid white.svg a b c d e f Solid white.svg
Simpler chess, without rooks
Solid white.svg a b c d e f Solid white.svg
6 a6 black rook b6 black bishop c6 black queen d6 black king e6 black bishop f6 black rook 6
5 a5 black pawn b5 black pawn c5 black pawn d5 black pawn e5 black pawn f5 black pawn 5
4 a4 black king b4 black king c4 black king d4 black king e4 black king f4 black king 4
3 a3 black king b3 black king c3 black king d3 black king e3 black king f3 black king 3
2 a2 white pawn b2 white pawn c2 white pawn d2 white pawn e2 white pawn f2 white pawn 2
1 a1 white rook b1 white bishop c1 white queen d1 white king e1 white bishop f1 white rook 1
Solid white.svg a b c d e f Solid white.svg
Simpler chess, without knights
Solid white.svg a b c d e f Solid white.svg
6 a6 black rook b6 black bishop c6 black queen d6 black king e6 black bishop f6 black rook 6
5 a5 black pawn b5 black pawn c5 black pawn d5 black pawn e5 black pawn f5 black pawn 5
4 a4 black king b4 black king c4 black king d4 black king e4 black king f4 black king 4
3 a3 black king b3 black king c3 black king d3 black king e3 black king f3 black king 3
2 a2 white pawn b2 white pawn c2 white pawn d2 white pawn e2 white pawn f2 white pawn 2
1 a1 white rook b1 white knight c1 white queen d1 white king e1 white knight f1 white rook 1
Solid white.svg a b c d e f Solid white.svg
Mallett 6x6 chess

A. Wardley proposed in 1977 a Simpler chess, a family of 6x6 chess variants, in which a pair of pieces is removed from the both sides: rooks, knights, bishop or even king and queen. Removing bishops results in Los Alamos chess; the result of removing rooks or knights is shown on the diagrams above.

Jeff Mallett proposed the setup knights versus bishops also on 6x6 board. On a normal 8x8 board, bishops are considered slightly more valuable than knights (especially two bishops). However, on 6x6 boards, because of the smaller size of the board, two knights are presumably equal to two bishops.

See also

  • Microshogi - played on 4x5 board
  • Minishogi - played on 5x5 board

Notes

  1. ^ Pritchard, D. (1994). The Encyclopedia of Chess Variants. Games & Puzzles Publications. ISBN 0-9524-1420-1. 
  2. ^ 3x3 Chess by Kirill Kryukov.
  3. ^ 3x4 Chess by Kirill Kryukov.
  4. ^ a b c Pritchard (2007), p. 113
  5. ^ Martin Gardner (1991). The Unexpected Hanging and Other Mathematical Diversions (Reprint ed.). University Of Chicago Press. ISBN 0-2262-8256-2. 
  6. ^ HP-minichess by Hans Bodlaender, based on an email from Ross Crawford.
  7. ^ This game can be found in set of games shipped together with Zillions of Games. The history section says: A little experiment by Jeff Mallett.
  8. ^ Chess - Speed Game by Hans Bodlaender
  9. ^ Polgar (1994), p.3
  10. ^ USA patent 5257787 Chess-like game
  11. ^ Polgar (1994)

References

  • Pritchard, D. (2007). The Classified Encyclopedia of Chess Variants. John Beasley. ISBN 978-0955516801. 
  • Laszlo Polgar (1994). Minichess 777+1 Positions (Quickchess teaches chess quick). Laszlo Polgar. ISBN 963-4508057. 

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