# [Retros] Total Number of Moves

Olli Heimo olli.heimo at luukku.com
Wed May 16 00:39:51 EDT 2007

It seems that You missed the fact that wKg7xbBh8 is illegal.

peufe at tin.it kirjoitti 15.05.2007 kello 13:21:

> >From Franco Fedeli

> Italy

> Hi friends, I asked myself: " How many different moves in chess?"

> I had fun trying to compute them.

> Two moves are different if they differ for at least one of these

> elements:

> 1) Piece to be moved (K,B,N,R,Q,P)

> 2) Starting square

> 3) Final square

> 4) Piece captured (Nothing, B,N,R,Q,P)

> 5) Piece promoted (B,N,R,Q)

> En Passant captures will be considered different from normal ones.

> We must add O-O and O-O-O.

> This is my counting:

>

> QUEEN :

>

> Starting Squares (N) Final Squares (F)

> With

> Pawn captures (A) No Pawn captures(B) Moves

> M=N*(6*A+5*B)

> (From each one)

> Corners

> (a1,a8,h1,h8) 4 21

> 12 9

> 468

>

> 1 and 8 rank

> (No corners) 12 21

> 13 8

> 1416

>

> a and h file

> (No corners) 12 21

> 17 4

> 1464

>

>

> b2,g2,g7,b7 4 23

> 18 5

> 532

>

> Boundary

> b2>g2>g7>b7 16 23

> 19 4

> 2144

> (No corners)

>

> c3,f3,f6,c6 4 25

> 20 5

> 580

>

> Boundary

> c3>f3>f6>c6 8 25

> 21 4

> 1168

> (No corners)

>

> d4,e4,e5,d5 4 27

> 22 5

> 628

>

>

>

> --------------

>

> Queen's Total

> (Q) 8400

>

> ROOK :

>

> 1 and 8 rank 16 14

> 6 8

> 1216

>

> all the others 48 14

> 12 2

> 3936

>

>

> -----------

>

> Rook's Total

> (R) 5152

>

>

> BISHOP :

>

> Corners

> (a1,a8,h1,h8) 4 7

> 6 1

> 164

>

> 1 and 8 rank

> (No corners) 12 7

> 7 0

> 504

>

> a and h file

> (No corners) 12 7

> 5 2

> 480

>

> b2,g2,g7,b7 4 9

> 6 3

> 204

>

> Boundary

> b2>g2>g7>b7 16 9

> 7 2

> 832

> (No corners)

>

> c3,f3,f6,c6 4 11

> 8 3

> 252

>

> Boundary

> c3>f3>f6>c6 8 11

> 9 2

> 512

> (No corners)

>

> d4,e4,e5,d5 4 13

> 10 3

> 300

>

>

> --------------

>

>

> Bishop's Total (B) 3248

>

> We see that Q=R+B how it must be.

>

>

>

>

> KNIGHT:

>

> a1,a8,h1,h8 4 2

> 2 0

> 48

>

> b1,g1,b8,g8 4 3

> 3 0

> 72

>

> c1,c8,d1,d8

> e1,e8,f1,f8 8 4

> 4 0

> 192

>

> a2,a7,h2,h7 4 3

> 2 1

> 68

>

> b2,b7,g2,g7 4 4

> 3 1

> 92

>

> c2,c7,d2,d7

> e2,e7,f2,f7 8 6

> 4 2

> 272

>

> a3,h3,a6,h6 4 4

> 3 1

> 92

>

> b3,b6,g3,g6 4 6

> 4 2

> 136

>

> c3,c6,d3,d6

> e3,e6,f3,f6 8 8

> 6 2

> 368

>

> a4,a5,h4,h5 4 4

> 4 0

> 96

>

> b4,b5,g4,g5 4 6

> 6 0

> 144

>

> c4,c5,d4,d5

> e4,e5,f4,f5 8 8

> 8 0

> 384

>

>

> ------------

>

> Knight's

> Total (N) 1964

>

> KING:

>

> a1,a8,h1,h8 4 3

> 2 1

> 68

>

> 1 and 8 rank

> (No corners) 12 5

> 3 2

> 336

>

> a2,h2,a7,h7 4 5

> 3 2

> 112

>

> b2,b7,c2,c7

> d2,d7,e2,e7

> f2,f7,g2,g7 12 8

> 5 3

> 540

>

> a3,a4,a5

> h3,h4,h5 6 5

> 5 0

> 180

>

> a6,h6 2 5

> 4 (Ka6xPb7 is illegal) 1

> 58

>

> Rectangle

> b3>g3>g5>h5 18 8

> 8 0

> 864

>

> b6,c6,d6

> e6,f6,g6 6 8

> 6 2

> 276

>

>

> ---------------

>

>

> King's Total (K) 2434

>

> WHITE PAWN:

>

> Starting Squares (N) Final Squares (F)

> With

> captures (A) No captures (B)

> Moves M=N*(5*A+B)

> from each one

>

>

>

>

> a2,h2 2 3

> 1 2

> 14

>

> b2,c2,d2

> e2,f2,g2 6 4

> 2 2

> 72

>

> a3,a4,a6

> h3,h4,h6 6 2

> 1 1

> 36

>

> b3,b4,b6

> c3,c4,c6

> d3,d4,d6

> e3,e4,e6 18 3

> 2 1

> 198

> f3,f4,f6

> g3,g4,g6

>

> M=N*(6*A+B)

>

> a5,h5 2 2

> 1 (en passant too) 1

> 14

>

> b5,c5,d5

> e5,f5,g5 6 3

> 2 1

> 78

>

>

>

>

>

> M=4*N*(4*A+B)

>

> a7,h7 2 2

> 1 (with promotions) 1

> 40

>

> b7,c7,d7

> e7,f7,g7 6 3

> 2 1

> 216

>

>

> ------------------

>

>

>

> Pawn's Total (P) 668

>

> SUMMARY:

>

> QUEEN: 8400

> ROOK: 5152

> BISHOP: 3248

> KNIGHT: 1964

> KING: 2434

> PAWN: 668

> O-O 1

> O-O-O 1

> --------------

> WHITE: 21868

> BLACK: 21868

> ---------------

>

> TOTAL NUMBER OF CHESS MOVES: 43736

>

> I hope all is correct.

> Did you ever play all these chess moves in your playing career?

> Maybe no, especially because the unusual underpromotions with

> captures........

> Bye

>

> Franco Fedeli

>