Transposition (chess)

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A transposition in chess is a sequence of moves that results in a position which may also be reached by another, more common sequence of moves. Transpositions are particularly common in opening, where a given position may be reached by different sequences of moves. Players sometimes use transpositions deliberately in order to avoid variations they dislike, lure opponents into unfamiliar or uncomfortable territory or simply to worry opponents.[1][2]

In chess the verb "transpose" means shifting the game on to a different opening track from that on which it started.

Transposition tables are an essential part of a computer chess program.

Contents

[edit] Examples

[edit] Positions reached by different routes

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8  black rook  black knight  black bishop  black queen  black king  black bishop  black king  black rook 8
7  black pawn  black pawn  black pawn  black king  black king  black pawn  black pawn  black pawn 7
6  black king  black king  black king  black king  black pawn  black knight  black king  black king 6
5  black king  black king  black king  black pawn  black king  black king  black king  black king 5
4  black king  black king  white pawn  white pawn  black king  black king  black king  black king 4
3  black king  black king  white knight  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn  white pawn 2
1  white rook  black king  white bishop  white queen  white king  white bishop  white knight  white rook 1
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Position can arise from Queen's Gambit or English Opening.

For instance, the first position can be obtained from the Queen's Gambit:

  • 1. d4 d5
  • 2. c4 e6
  • 3. Nc3 Nf6

But this position can also be reached from the English Opening:

  • 1. c4 Nf6
  • 2. Nc3 e6
  • 3. d4 d5

so the English Opening has transposed into the Queen's Gambit.

Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black king  black rook 8
7  black pawn  black pawn  black pawn  black king  black king  black pawn  black pawn  black pawn 7
6  black king  black king  black king  black king  black king  black knight  black king  black king 6
5  black king  black king  black king  black pawn  black king  black king  black king  black king 5
4  black king  black king  black king  white pawn  black king  black king  black king  black king 4
3  black king  black king  black king  black king  black king  white knight  black king  black king 3
2  white pawn  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  black king  white rook 1
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Position can arise from French Defense or Petrov Defense.

The second position shows another example. The position can arise from the French Defence.

  • 1. e4 e6
  • 2. d4 d5
  • 3. exd5 exd5
  • 4. Nf3 Nf6

The identical position can also be reached, with two extra moves played by each side, from the Petrov Defense:

  • 1. e4 e5
  • 2. Nf3 Nf6
  • 3. Nxe5 d6
  • 4. Nf3 Nxe4
  • 5. d3 Nf6
  • 6. d4 d5[3]


[edit] Transposition possibilities of some openings

Some openings are noted for their wide range of possible transpositions, for example the Catalan Opening and Sicilian Defence.[2][4]

For a simple example, the opening moves 1. d4 e6 can transpose very quickly into a wide range of openings, including:

Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black knight  black rook 8
7  black pawn  black pawn  black pawn  black king  black king  black pawn  black pawn  black pawn 7
6  black king  black king  black king  black king  black pawn  black king  black king  black king 6
5  black king  black king  black king  black pawn  black king  black king  black king  black king 5
4  black king  black king  white pawn  white pawn  black king  black king  black king  black king 4
3  black king  black king  black king  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  white knight  white rook 1
Solid white.svg a b c d e f g h Solid white.svg
Queen's Gambit Declined, after 2 c4 d5. The QGD itself offers a wide range of transpositional possibilities.
Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black king  black rook 8
7  black pawn  black pawn  black pawn  black pawn  black king  black pawn  black pawn  black pawn 7
6  black king  black king  black king  black king  black pawn  black knight  black king  black king 6
5  black king  black king  black king  black king  black king  black king  black king  black king 5
4  black king  black king  white pawn  white pawn  black king  black king  black king  black king 4
3  black king  black king  black king  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  white knight  white rook 1
Solid white.svg a b c d e f g h Solid white.svg
After 2 c4 Nf6. This could develop in many ways, including: Queen's Gambit Declined, Nimzo-Indian Defense, Queen's Indian Defense or Modern Benoni Defense.


Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black knight  black rook 8
7  black pawn  black pawn  black pawn  black pawn  black king  black king  black pawn  black pawn 7
6  black king  black king  black king  black king  black pawn  black king  black king  black king 6
5  black king  black king  black king  black king  black king  black pawn  black king  black king 5
4  black king  black king  white pawn  white pawn  black king  black king  black king  black king 4
3  black king  black king  black king  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  white knight  white rook 1
Solid white.svg a b c d e f g h Solid white.svg
Dutch Defense, after 2 c4 f5.
Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black knight  black rook 8
7  black pawn  black king  black pawn  black pawn  black king  black pawn  black pawn  black pawn 7
6  black king  black pawn  black king  black king  black pawn  black king  black king  black king 6
5  black king  black king  black king  black king  black king  black king  black king  black king 5
4  black king  black king  white pawn  white pawn  black king  black king  black king  black king 4
3  black king  black king  black king  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  white pawn  black king  white pawn  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  white knight  white rook 1
Solid white.svg a b c d e f g h Solid white.svg
English Defense, after 2 c4 b6.


Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black knight  black rook 8
7  black pawn  black pawn  black pawn  black king  black king  black pawn  black pawn  black pawn 7
6  black king  black king  black king  black king  black pawn  black king  black king  black king 6
5  black king  black king  black king  black pawn  black king  black king  black king  black king 5
4  black king  black king  black king  white pawn  white pawn  black king  black king  black king 4
3  black king  black king  black king  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  white knight  white rook 1
Solid white.svg a b c d e f g h Solid white.svg
French Defence, after 2 e4 d5.
Solid white.svg a b c d e f g h Solid white.svg
8  black rook  black knight  black bishop  black queen  black king  black bishop  black knight  black rook 8
7  black pawn  black pawn  black king  black pawn  black king  black pawn  black pawn  black pawn 7
6  black king  black king  black king  black king  black pawn  black king  black king  black king 6
5  black king  black king  black pawn  black king  black king  black king  black king  black king 5
4  black king  black king  black king  white pawn  white pawn  black king  black king  black king 4
3  black king  black king  black king  black king  black king  black king  black king  black king 3
2  white pawn  white pawn  white pawn  black king  black king  white pawn  white pawn  white pawn 2
1  white rook  white knight  white bishop  white queen  white king  white bishop  white knight  white rook 1
Solid white.svg a b c d e f g h Solid white.svg
Franco-Benoni, after 2 e4 c5. This can transpose into various types of Benoni Defense after 3 d5, into the Alapin Variation of the Sicilian Defense after 3 c3, or into main lines of the Sicilian Defense after 3 Nf3 cxd4 4 Nxd4.


[edit] See also

[edit] References

  1. ^ Mark Weeks. "Chess Opening Tutorial : Introduction to 1.d4". about.com. http://chess.about.com/od/improveyouropenings/ss/aa03c15_9.htm. 
  2. ^ a b Soltis, A. (2007). Transpo Tricks in Chess. Batsford. ISBN 0713490519.  See review at "Transpo Tricks in Chess - review". chessville.com. http://www.chessville.com/reviews/TranspoTricks.htm. 
  3. ^ Hooper, David; Whyld, Kenneth (1992). The Oxford Companion to Chess. Oxford University Press. ISBN 0-19-866164-9. 
  4. ^ Fine, R.. Ideas Behind the Chess Openings. Random House. ISBN 0812917561. 
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