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Comments by FergusDuniho

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Ludii PortalA website
. The home of Ludii, a general game system that can play the full range of traditional strategy games, including chess variants. () [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Sat, Mar 18, 2023 04:48 PM UTC:

As a further test, I conducted a game of Chess between Ludii and Ed Friedlander's Chess applet. The Chess applet did better for most of the game, scooping up lots of material, but it had trouble pressing its advantage in the endgame. It kept on checking the King with its Queen without bringing in more material. The Java Applet declared itself the winner, but it reset the board before reaching checkmate, and I suspect it was a drawn game by the 50 moves rule. Since neither kept track of the moves, I'm not sure how many moves went by in pointless checks.


🕸Fergus Duniho wrote on Sat, Mar 18, 2023 05:08 PM UTC:

Since the Java Applet had failed to defeat Ludii at Chess, I conducted another game between the Interactive Diagram for Chess and Ludii. This time, I let Ludii play White to give it the first move advantage. Like in previous games, it threw away its material. However, the Interactive Diagram had trouble pressing its advantage in the endgame, continually checking the King with its Queen instead of bringing in other pieces to support the Queen. Since the Interactive Diagram kept track of the moves, I eventually spotted a three-times repetition, which made the game a draw.

  1. e3 d5
  2. Bb5 c6
  3. Qh5 cxb5
  4. d3 Nf6
  5. Nc3 Nxh5
  6. b4 Nc6
  7. e4 Nxb4
  8. h4 Nxc2
  9. Kd2 Nxa1
  10. Rh3 Bxh3
  11. a3 dxe4
  12. Nxe4 Qa5
  13. Ke2 Bxg2
  14. Nd6 exd6
  15. Bg5 Qxa3
  16. f3 Nb3
  17. Nh3 Bxh3
  18. f4 Nc1
  19. Kf2 Nxd3
  20. Ke2 Ndxf4
  21. Kd1 Kd7
  22. Kd2 Qd3
  23. Kc1 Kc6
  24. Kb2 Qd4
  25. Kb3 Be6
  26. Kc2 Bf5
  27. Kb3 Qc4
  28. Kb2 Qb4
  29. Ka2 Qc4
  30. Kb2 Qb4
  31. Ka2 Qc4
  32. Kb2 Qb4
  33. Ka2 Qc4
  34. Kb2 Qb4
  35. Ka2 Qc4
  36. Kb2 Qb4
  37. Ka2 Qc4
  38. Kb2 Qb4
  39. Ka2 Qc4

🕸Fergus Duniho wrote on Sat, Mar 18, 2023 06:12 PM UTC:

For another test, I raised how many plies the Interactive Diagram thinks ahead to 4. But while trying to get Ludii to play White, it started playing itself. Since I wanted to see if it could press an advantage in the endgame, I let it continue. Eventually, Black checkmated White. I then ran the planned game with the Interactive Diagram at 4 plies, letting Ludii move first. The Interactive Diagram won this game with checkmate without repeating moves. Here are the moves:

  1. e4 e5
  2. Qh5 d6
  3. Bb5 c6
  4. b4 cxb5
  5. d4 Nf6
  6. Qxf7 Kxf7
  7. Ne2 Nxe4
  8. d5 Na6
  9. Bh6 Nxb4
  10. Be3 Nxc2
  11. Kf1 Nxa1
  12. Bg5 Qxg5
  13. Nf4 Qxf4
  14. f3 Qc1
  15. Ke2 Qxh1
  16. fxe4 Qxb1
  17. Ke3 Qxa2
  18. h3 Qxg2
  19. h4 Qh3
  20. Kd2 Qxh4
  21. Kc3 Qxe4
  22. Kb2 Nc2
  23. Kc3 Bf5
  24. Kb2 Qxd5
  25. Kc1 Qd4
  26. Kb1 Qa1

Arena Cheturshogqi. 2-4 Players on large board with mutating pieces and piece drops. (13x13, Cells: 169) [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Sat, Mar 18, 2023 07:40 PM UTC:

For the board images, I replaced style="height:1266px; width:1200px" with STYLE="max-height: 90vh;", because the images were too large for the screen, and they would not resize properly when I reduced the window size. They now fit comfortably on my screen, but the rank and file markers appear very small. So, I would recommend making new images that are small enough to fit an HD screen while having rank and file markers large enough to read.


Ludii PortalA website
. The home of Ludii, a general game system that can play the full range of traditional strategy games, including chess variants. () [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Sun, Mar 19, 2023 02:17 AM UTC in reply to Daniel Zacharias from 12:32 AM:

I saved the PDF on the Ludii language to my Kindle DX to review later.


Arena Cheturshogqi. 2-4 Players on large board with mutating pieces and piece drops. (13x13, Cells: 169) [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Sun, Mar 19, 2023 05:02 PM UTC:

This is now published. I moved your information on the Archbishop and other names for the piece to the proper piece, and I added STYLE="max-height: 90vh" to your new board images. Your board images were still too large, but when I reduced them in size to fit the screen, the rank and file markers remained legible, not only on my desktop but also on my 7 inch Fire tablet in landscape. Since 1vh is 1% of the viewport height, 90vh is a good height for allowing the whole image to be seen. I kept it below 100vh in case some of the full height would be used by other stuff on the screen.


Ludii PortalA website
. The home of Ludii, a general game system that can play the full range of traditional strategy games, including chess variants. () [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Sun, Mar 19, 2023 08:29 PM UTC in reply to H. G. Muller from 10:50 AM:

I downloaded the Ludii player to my computer and ran a game against the Interactive Diagram at its default settings. This time, the Interactive Diagram quickly won with checkmate. I wonder if it makes a difference that I was using Edge instead of Firefox, given that I keep Firefox loaded with tabs, and I always start Edge fresh with no old tabs open.

  1. d4 e5
  2. dxe5 Qg5
  3. Bxg5 Bb4
  4. c3 f6
  5. exf6 Bxc3
  6. Nxc3 d5
  7. fxg7 h6
  8. gxh8=Q Nc6
  9. Qxg8 Kd7
  10. Qdxd5

Since the Ludii player allows me to adjust the thinking time, I will see if additional thinking time will allow it to defeat the Interactive Diagram.


🕸Fergus Duniho wrote on Sun, Mar 19, 2023 08:58 PM UTC:

In the previous game, the Ludii player had 1 second of thinking time. I next tried it with 5 seconds, but when it was about to throw away a Queen, I started a new game with 10 seconds of thinking time for it. The Interactive Diagram played in Edge with its default settings. In the start of the game, Ludii moved out its Queen as it had done at 5 seconds, but instead of throwing it away, it fled from attacks, letting its Queen get chased around. But it eventually began to lose material, and by the endgame, it had only the King left. The Interactive Diagram eventually defeated it with checkmate. Here is the game:

  1. d4 e6
  2. c3 Qh4
  3. Nf3 Qe4
  4. Nbd2 Qf4
  5. Nb3 Qe4
  6. Nc5 Bxc5
  7. dxc5 Kf8
  8. Qd4 Qxd4
  9. Nxd4 Nf6
  10. Bf4 Ke8
  11. Bxc7 Ne4
  12. Be5 d6
  13. Bxg7 e5
  14. Bxh8 exd4
  15. cxd4 Bg4
  16. cxd6 Nd7
  17. h3 Be6
  18. e3 Rc8
  19. Bd3 f6
  20. Bxe4 Bf7
  21. Bxb7 Rc2
  22. b3 Be6
  23. O-O Kf7
  24. Be4 Rb2
  25. Bxh7 Bd5
  26. Bf5 Rd2
  27. Bxd7 Bxg2
  28. Kxg2 Re2
  29. Kf3 Rd2
  30. Bf5 Rb2
  31. Ke4 Rc2
  32. Kd3 Rc6
  33. d7 a6
  34. d8=Q Re6
  35. Bxe6 Kxe6
  36. Qxf6 Kd7
  37. Qxa6 Kc7
  38. Be5 Kd7
  39. Qb5 Ke7
  40. Ke4 Kf7
  41. Qd5 Kg6
  42. Qg8 Kh5
  43. Qg4 Kh6
  44. Kf5 Kh7
  45. Qg6

🕸Fergus Duniho wrote on Sun, Mar 19, 2023 09:37 PM UTC:

For the next game, I gave the Ludii player 30 seconds of thinking time. It still played very poorly, making lots of obviously bad moves. The Interactive Diagram made sensible moves for most of the game, but during the endgame, it failed to mobilize its overwhelmingly superior forces for checkmate. It could have easily gotten checkmate by moving out a Rook to help the Queen, but instead it moved out its King. When it was getting close to further hemming in the King and eventually getting checkmate, it moved its Queen to a rank further from the King, giving it more space to move. Eventually, the game ended in a draw through three-times repetition, which I estimated by observing the same set of four moves repeat three times. Here are the moves:

  1. d4 e6
  2. c3 Qh4
  3. Nf3 Qe4
  4. Nbd2 Qf4
  5. Nb3 Qe4
  6. Nc5 Bxc5
  7. dxc5 d6
  8. cxd6 Bd7
  9. dxc7 Ne7
  10. cxb8=Q Rxb8
  11. Be3 O-O
  12. Qxd7 Qc4
  13. Qxe7 Rbd8
  14. Qxb7 Rd6
  15. Qxa7 e5
  16. Nxe5 Qh4
  17. g3 Qe7
  18. Qxe7 Rd5
  19. Bg2 Rxe5
  20. Qxe5 Rd8
  21. O-O h6
  22. h4 h5
  23. Qxh5 f6
  24. Bd5 Rxd5
  25. Qxd5 Kh7
  26. Qh5 Kg8
  27. Kg2 Kf8
  28. Kf3 g6
  29. Qxg6 Ke7
  30. Bc5 Kd8
  31. Ke4 Kc7
  32. Qxf6 Kb8
  33. Kd5 Kc8
  34. Qf5 Kc7
  35. Qf4 Kc8
  36. Qf5 Kc7
  37. Qf4 Kc8
  38. Qf5 Kc7
  39. Qf4 Kc8
  40. Qf5

Arena Cheturshogqi. 2-4 Players on large board with mutating pieces and piece drops. (13x13, Cells: 169) [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Sun, Mar 19, 2023 09:39 PM UTC in reply to Paul Newton from 09:25 PM:

Thank you for making the needed adjustments to the size of the board files!

I didn't adjust the size of the files. I just added CSS to display them at a size that will fit the screen.


Ludii PortalA website
. The home of Ludii, a general game system that can play the full range of traditional strategy games, including chess variants. () [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Mon, Mar 20, 2023 12:43 AM UTC in reply to Daniel Zacharias from 12:34 AM:

Which ai are you using in ludii?

Ludii.


King of the Mountain. Be the first player to get your King to the top of the hill! (19x19) [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Mon, Mar 20, 2023 12:50 AM UTC in reply to Paul Newton from Sun Mar 19 10:38 PM:

Are there any further issues that need to be addressed with this before it can be published?

Its boards are having the same problems as in your other game. They are too large, and when they resize to fit the screen, the rank and file markers are too small. Perhaps you have a 4k monitor, but I have an HD monitor, and I expect HD monitors are still more common. On an HD monitor, the maximum screen height is 1080 pixels, and a height of 3025 pixels is overkill. Actually, it's overkill even in 4k, since its maximum height is 2160 in landscape. But if you have a 4k monitor in a portrait orientation, you could view a whole board image without resizing it.


Ludii PortalA website
. The home of Ludii, a general game system that can play the full range of traditional strategy games, including chess variants. () [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Mon, Mar 20, 2023 01:20 AM UTC:

Since I figured out how to make the Ludii Player show the last move, I decided to try one more game with it set to its maximum thinking time of 300 seconds, which is 5 minutes. As before, it moved out its Queen and let it get chased around a bit. Overall, it played very poorly, and it was checkmated in 32 moves, making this game even shorter than previous games with less thinking time for Ludii. In the endgame, it seemed to just give up, letting checkmate come even more quickly than it had to. Based on this, I would conclude that Ludii is not nearly as good at playing Chess variants as the Interactive Diagram is. And since that is itself a low bar, my conclusion is that Ludii is not very good for Chess variants. Here's the game:

  1. d4 e6
  2. c3 Qh4
  3. Nf3 Qe4
  4. Nbd2 Qd5
  5. e4 Qh5
  6. Bc4 b5
  7. Bd3 Qg4
  8. O-O Nc6
  9. Bxb5 Bb4
  10. cxb4 Nge7
  11. h3 Qf4
  12. g3 Qd6
  13. Nc4 Qxb4
  14. Qb3 O-O
  15. Qxb4 Nxb4
  16. Bf4 Bb7
  17. Nfd2 Kh8
  18. Bxd7 Rad8
  19. Ne5 f6
  20. Bxe6 fxe5
  21. Bxe5 Nd3
  22. Bxc7 Rxd4
  23. Ba5 Bc6
  24. Bc3 Ra4
  25. Bb3 Nd5
  26. exd5 Rf5
  27. dxc6 Rg5
  28. Bxa4 Rh5
  29. h4 Ne5
  30. Bb4 Rh6
  31. c7 Rh5
  32. c8=Q

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 01:29 AM UTC in reply to Daniel Zacharias from 01:00 AM:

There is also an alpha-beta ai which is stronger for some games

I just ran a game between Ludii as White and Alpha-Beta as Black at 1sec each, and Ludii quickly won. Here's what it reported the moves to be:

  1. (Move E2-E4)
  2. (Move E7-E5)
  3. (Move F1-B5)
  4. (Move D8-H4)
  5. (Move D2-D4)
  6. (Move F8-B4)
  7. (Move B1-D2)
  8. (Remove F2)
  9. (Remove F2)
  10. (Remove D2)
  11. (Remove D2)
  12. (Move B8-C6)
  13. (Move D1-H5)
  14. (Remove D4)
  15. (Remove E5)
  16. (Move G8-E7)
  17. (Remove D4)
  18. (Move E7-D5)
  19. (Remove D5)
  20. (Move C7-C5)
  21. (Move D4-E5)
  22. (Move E8-F8)
  23. (Move G1-F3)
  24. (Move D7-D6)
  25. (Move E5-E8)

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 01:31 AM UTC:

Ludii as White beat Random as Black in even fewer moves:

  1. (Move E2-E4)
  2. (Move G8-H6)
  3. (Move F1-C4)
  4. (Move H6-G8)
  5. (Remove F7)
  6. (Remove F7)
  7. (Move D1-H5)
  8. (Move F7-E6)
  9. (Move H5-F5)
  10. (Move E6-D6)
  11. (Move F5-D5)

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 01:35 AM UTC:

At 1sec per move, Ludii (as White) beat Flat MC (as Black) in 99 moves:

  1. (Move E2-E4)
  2. (Move C7-C6)
  3. (Move D1-H5)
  4. (Move D8-C7)
  5. (Move F2-F4)
  6. (Move D7-D5)
  7. (Move F1-A6)
  8. (Move C8-E6)
  9. (Move A2-A4)
  10. (Move E6-C8)
  11. (Move D2-D4)
  12. (Remove E4)
  13. (Move B2-B4)
  14. (Move E7-E6)
  15. (Move B1-C3)
  16. (Move G8-H6)
  17. (Move C1-B2)
  18. (Move F8-E7)
  19. (Remove F7)
  20. (Remove F7)
  21. (Move A6-C4)
  22. (Remove B4)
  23. (Move E1-E2)
  24. (Move F7-H6)
  25. (Move G1-H3)
  26. (Move E8-D8)
  27. (Move A4-A5)
  28. (Move C7-B6)
  29. (Remove B6)
  30. (Move D8-E8)
  31. (Remove E4)
  32. (Move A7-A6)
  33. (Move H3-G5)
  34. (Move G7-G6)
  35. (Move E4-F6)
  36. (Move E8-F8)
  37. (Move A1-A3)
  38. (Move H8-G8)
  39. (Move H1-D1)
  40. (Move A8-A7)
  41. (Move H2-H4)
  42. (Move B4-E7)
  43. (Remove H7)
  44. (Move F8-G7)
  45. (Move A3-A5)
  46. (Move H6-G4)
  47. (Remove G4)
  48. (Move E7-D8)
  49. (Move D1-F1)
  50. (Move G7-F7)
  51. (Move G4-H6)
  52. (Move F7-G7)
  53. (Remove G8)
  54. (Move G7-F7)
  55. (Move G8-H6)
  56. (Move F7-E7)
  57. (Move H6-G8)
  58. (Move E7-F7)
  59. (Move H7-F8)
  60. (Move D8-F6)
  61. (Remove F6)
  62. (Move A7-A8)
  63. (Move F8-H7)
  64. (Move C6-C5)
  65. (Move E2-F2)
  66. (Move G6-G5)
  67. (Move F1-G1)
  68. (Move C8-D7)
  69. (Move G2-G4)
  70. (Move D7-E8)
  71. (Move A5-A3)
  72. (Move E8-D7)
  73. (Move F6-E4)
  74. (Move D7-C6)
  75. (Remove G5)
  76. (Move F7-E8)
  77. (Move D4-D5)
  78. (Remove D5)
  79. (Move G1-H1)
  80. (Move B8-C6)
  81. (Move H4-H5)
  82. (Move E8-D8)
  83. (Move G5-F7)
  84. (Move D8-D7)
  85. (Remove C5)
  86. (Move D7-C8)
  87. (Move F7-D6)
  88. (Move C8-D8)
  89. (Move B2-F6)
  90. (Move C6-E7)
  91. (Remove D5)
  92. (Move A8-C8)
  93. (Remove C8)
  94. (Move A6-A5)
  95. (Move C8-D6)
  96. (Remove D5)
  97. (Move H1-E1)
  98. (Move D5-D4)
  99. (Remove E7)

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 02:06 AM UTC:

Since the Ludii Player has many engines (or agents) to choose from, I had it do an analysis to find the best player for Chess. The analysis was quick, and it said "Best predicted agent is AlphaBeta". But I already found that it played poorly against Ludii. In case more thinking time would eventually give Alpha-Beta an edge, I increased the thinking time to 5 seconds for another game between Ludii as White and Alpha-Beta as Black. Ludii won this game with checkmate. During the game, it showed an analysis of each engine, and Ludii, identified here as UBFM consistently had a higher search depth than Alpha-Beta.

UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 0.13999999,
1196 different states were evaluated
50 iterations, with 134 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.20000005,
909 different states were evaluated
30 iterations, with 68 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 0.54125,
1014 different states were evaluated
33 iterations, with 97 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.6924999,
1002 different states were evaluated
28 iterations, with 75 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 6:
best value observed at root 1.2237501,
837 different states were evaluated
32 iterations, with 110 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 0.7437501,
878 different states were evaluated
37 iterations, with 114 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.66375005,
881 different states were evaluated
36 iterations, with 72 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 0.7237501,
883 different states were evaluated
35 iterations, with 101 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 2:
best value observed at root 0.6237501,
894 different states were evaluated
33 iterations, with 65 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 0.9375,
908 different states were evaluated
24 iterations, with 65 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.9112501,
918 different states were evaluated
25 iterations, with 63 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.9512501,
1025 different states were evaluated
39 iterations, with 80 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.77125,
900 different states were evaluated
35 iterations, with 71 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 2:
best value observed at root 0.9112501,
909 different states were evaluated
34 iterations, with 67 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.73125005,
912 different states were evaluated
34 iterations, with 69 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 2:
best value observed at root 0.6712501,
794 different states were evaluated
22 iterations, with 43 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.68000007,
803 different states were evaluated
20 iterations, with 55 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.6575,
875 different states were evaluated
23 iterations, with 50 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 0.87125003,
920 different states were evaluated
22 iterations, with 60 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.90250015,
1043 different states were evaluated
26 iterations, with 70 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 1.15625,
1223 different states were evaluated
32 iterations, with 98 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.8962499,
1111 different states were evaluated
44 iterations, with 88 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 0.9849999,
1272 different states were evaluated
51 iterations, with 108 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 1.2962499,
1107 different states were evaluated
26 iterations, with 66 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 1.0362499,
1006 different states were evaluated
32 iterations, with 65 calls of minimax
Alpha-Beta (player 2) completed search of depth 1.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 1.7525,
1297 different states were evaluated
35 iterations, with 100 calls of minimax
Alpha-Beta (player 2) completed search of depth 2.
UBFM (player 1) completed an analysis that reached at some point a depth of 5:
best value observed at root 1.6012498,
1267 different states were evaluated
49 iterations, with 187 calls of minimax
Alpha-Beta (player 2) completed search of depth 3.
UBFM (player 1) completed an analysis that reached at some point a depth of 3:
best value observed at root 1.68125,
1304 different states were evaluated
41 iterations, with 99 calls of minimax
Alpha-Beta (player 2) completed search of depth 3.
UBFM (player 1) completed an analysis that reached at some point a depth of 9:
best value observed at root 1.6675,
1278 different states were evaluated
101 iterations, with 398 calls of minimax
Alpha-Beta (player 2) completed search of depth 3.
UBFM (player 1) completed an analysis that reached at some point a depth of 7:
best value observed at root 1.5674999,
1288 different states were evaluated
107 iterations, with 429 calls of minimax
Alpha-Beta (player 2) completed search of depth 3.
UBFM (player 1) completed an analysis that reached at some point a depth of 5:
best value observed at root 1000000.0,
954 different states were evaluated
323 iterations, with 1225 calls of minimax
Alpha-Beta (player 2) completed search of depth 0.
UBFM (player 1) completed an analysis that reached at some point a depth of 4:
best value observed at root 1000000.0,
1237 different states were evaluated
753 iterations, with 1541 calls of minimax

Here is the game:

  1. (Move E2-E4)
  2. (Move E7-E5)
  3. (Move D1-H5)
  4. (Move D8-H4)
  5. (Remove H4)
  6. (Move G7-G5)
  7. (Remove G5)
  8. (Move D7-D5)
  9. (Move F1-B5)
  10. (Move C7-C6)
  11. (Remove E5)
  12. (Move E8-D8)
  13. (Move E5-G5)
  14. (Move D8-C7)
  15. (Move G5-E5)
  16. (Move C7-B6)
  17. (Move B5-E2)
  18. (Move C8-G4)
  19. (Remove G4)
  20. (Move B8-D7)
  21. (Remove D7)
  22. (Move B6-A6)
  23. (Move G1-E2)
  24. (Move F8-B4)
  25. (Move B2-B3)
  26. (Move F7-F5)
  27. (Move A2-A3)
  28. (Move B4-C5)
  29. (Move A1-A2)
  30. (Move G8-F6)
  31. (Move C1-B2)
  32. (Remove F2)
  33. (Move E1-D1)
  34. (Remove D7)
  35. (Remove F5)
  36. (Move H8-G8)
  37. (Remove F2)
  38. (Move D5-D4)
  39. (Remove D4)
  40. (Move D7-C5)
  41. (Remove C5)
  42. (Move A8-D8)
  43. (Move B3-B4)
  44. (Move B7-B5)
  45. (Move D1-C1)
  46. (Move D8-D7)
  47. (Move F2-F6)
  48. (Move A6-B7)
  49. (Move H1-D1)
  50. (Move D7-D4)
  51. (Remove D4)
  52. (Remove G2)
  53. (Move F6-F7)
  54. (Move B7-C8)
  55. (Move D1-F1)
  56. (Remove E2)
  57. (Move F7-G8)
  58. (Move C8-D7)
  59. (Move F1-F7)
  60. (Move D7-D6)
  61. (Move G8-D8)
  62. (Move D6-E6)
  63. (Move F7-F6)

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 02:50 AM UTC:

I have been running one game after another on Ludii Player between Ludii as White and another agent as Black at one second thinking time each. Going from top down, each has lost to Ludii until I got to EPT, which beat Ludii. Here is that game:

Turn 1. E2-E4
Turn 2. E7-E6
Turn 3. B2-B4
Turn 4. B4-
Turn 5. C1-B2
Turn 6. D7-D5
Turn 7. F1-B5
Turn 8. E8-F8
Turn 9. D1-G4
Turn 10. G7-G6
Turn 11. B2-G7
Turn 12. G7-
Turn 13. G4-G5
Turn 14. G5-
Turn 15. G1-E2
Turn 16. C8-D7
Turn 17. D7-
Turn 18. D7-
Turn 19. E1=0
Turn 20. B4-F8
Turn 21. G2-G4
Turn 22. C7-C6
Turn 23. G1-G2
Turn 24. G5-H4
Turn 25. B1-C3
Turn 26. F2-
Turn 27. F2-
Turn 28. F7-F5
Turn 29. D5-
Turn 30. F8-B4
Turn 31. B4-
Turn 32. G8-F6
Turn 33. F2-F3
Turn 34. A8-B8
Turn 35. A2-A4
Turn 36. H8-G8
Turn 37. G4-G5
Turn 38. E4-
Turn 39. A4-A5
Turn 40. E4-G3
Turn 41. G3-
Turn 42. D7-E5
Turn 43. B4-D5
Turn 44. F3-
Turn 45. F3-
Turn 46. D5-
Turn 47. A1-B1
Turn 48. B8-C8
Turn 49. B7-
Turn 50. C8-C7
Turn 51. C7-
Turn 52. G7-H8
Turn 53. E2-D4
Turn 54. G8-G7
Turn 55. C7-C8
Turn 56. G7-G8
Turn 57. C8-B8
Turn 58. B8-
Turn 59. F3-F2
Turn 60. B8-B2
Turn 61. E6-
Turn 62. C2-
Turn 63. E6-D4
Turn 64. D2-
Turn 65. D4-E2
Turn 66. A7-A6
Turn 67. H2-H4
Turn 68. E2-
Turn 69. E2-
Turn 70. H8-G8
Turn 71. E2-D2
Turn 72. G8-F7
Turn 73. D2-C2
Turn 74. F7-E6
Turn 75. C2-C3
Turn 76. E6-D6
Turn 77. C3-B2
Turn 78. D5-D4
Turn 79. B2-B3
Turn 80. D6-D5
Turn 81. B3-B2
Turn 82. D5-C4
Turn 83. B2-C2
Turn 84. D4-D3
Turn 85. C2-B2
Turn 86. D3-D2
Turn 87. B2-C2
Turn 88. D2-D1, D1 => Bishop2
Turn 89. D1-
Turn 90. F5-F4
Turn 91. D1-C2
Turn 92. F4-F3
Turn 93. C2-B2
Turn 94. F3-F2
Turn 95. B2-C2
Turn 96. F2-F1, F1 => Queen2
Turn 97. H4-H5
Turn 98. F1-F4
Turn 99. C2-B1
Turn 100. G5-
Turn 101. H5-H6
Turn 102. C4-B3
Turn 103. B1-A1
Turn 104. G5-C1

I'm done for the night.


🕸Fergus Duniho wrote on Mon, Mar 20, 2023 05:18 PM UTC:

For some reason, I couldn't find the Ludii Player on my computer today. So, I downloaded it again and noted that it was in my Downloads folder before running it. It is just a .jar file and doesn't install anything.

Continuing to use it, EPT-QB quickly beat Ludii. The ironic thing is that EPT-QB made a terrible move, exposing its Queen to en prise capture by either the Bishop or the Queen, and instead of taking the Queen, Ludii just moved its Queen beside it. Then EPT-QB captured the Bishop for checkmate.

  1. (Move D2-D4)
  2. (Move E7-E6)
  3. (Move D1-D3)
  4. (Move D8-F6)
  5. (Move D3-B5)
  6. (Move F6-G5)
  7. (Move B5-F5)
  8. (Move G5-C1)

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 05:26 PM UTC:

Ludii drew UBFM by three-times repetition, maybe not too surprising since Ludii is more fully called Ludii (UBFM). The surprising thing is how UBFM flubbed up the endgame. It had both a Queen and a Rook against the King, and instead of quickly going for checkmate, it kept repeating the same Rook moves back and forth while the King kept going back and forth.

  1. (Move E2-E4)
  2. (Move E7-E5)
  3. (Move D1-H5)
  4. (Move D7-D5)
  5. (Move F1-B5)
  6. (Move B8-C6)
  7. (Move H5-E5)
  8. (Move F8-E7)
  9. (Move D2-D4)
  10. (Move C8-G4)
  11. (Move E4-D5)
  12. (Move D8-D6)
  13. (Move B5-C6)
  14. (Move G4-D7)
  15. (Move C1-G5)
  16. (Move D6-E5)
  17. (Move D4-E5)
  18. (Move E7-B4)
  19. (Move E1-E2)
  20. (Move B7-C6)
  21. (Move G1-F3)
  22. (Move D7-F5)
  23. (Move B1-C3)
  24. (Move F7-F6)
  25. (Move D5-C6)
  26. (Move F6-G5)
  27. (Move A2-A3)
  28. (Move B4-C3)
  29. (Move B2-C3)
  30. (Move A8-D8)
  31. (Move F3-D4)
  32. (Move F5-G4)
  33. (Move E2-E3)
  34. (Move G8-E7)
  35. (Move A3-A4)
  36. (Move E7-D5)
  37. (Move E3-D2)
  38. (Move D5-F4)
  39. (Move H2-H4)
  40. (Move G5-H4)
  41. (Move D2-E3)
  42. (Move F4-G2)
  43. (Move E3-D3)
  44. (Move H4-H3)
  45. (Move E5-E6)
  46. (Move E8-E7)
  47. (Move D3-C4)
  48. (Move G4-F5)
  49. (Move D4-F5)
  50. (Move E7-F6)
  51. (Move F5-D6)
  52. (Move D8-D6)
  53. (Move F2-F4)
  54. (Move H8-B8)
  55. (Move A1-E1)
  56. (Move G2-E1)
  57. (Move H1-E1)
  58. (Move D6-D2)
  59. (Move E1-G1)
  60. (Move D2-G2)
  61. (Move G1-G2)
  62. (Move H3-G2)
  63. (Move C4-D3)
  64. (Move F6-E7)
  65. (Move D3-E3)
  66. (Move G2-G1)
  67. (Promote G1 to Queen2)
  68. (Move E3-E2)
  69. (Move B8-D8)
  70. (Move E2-F3)
  71. (Move D8-B8)
  72. (Move A4-A5)
  73. (Move G1-D1)
  74. (Move F3-F2)
  75. (Move A7-A6)
  76. (Move F4-F5)
  77. (Move D1-D2)
  78. (Move F2-F3)
  79. (Move D2-C3)
  80. (Move F3-G2)
  81. (Move C3-D2)
  82. (Move G2-G3)
  83. (Move D2-E3)
  84. (Move G3-G2)
  85. (Move E7-D6)
  86. (Move F5-F6)
  87. (Move G7-F6)
  88. (Move G2-H2)
  89. (Move D6-E6)
  90. (Move H2-G2)
  91. (Move E6-F7)
  92. (Move G2-H2)
  93. (Move B8-B1)
  94. (Move H2-G2)
  95. (Move F6-F5)
  96. (Move C2-C3)
  97. (Move E3-C3)
  98. (Move G2-H2)
  99. (Move C3-E3)
  100. (Move H2-G2)
  101. (Move B1-D1)
  102. (Move G2-H2)
  103. (Move D1-B1)
  104. (Move H2-G2)
  105. (Move B1-D1)
  106. (Move G2-H2)
  107. (Move D1-B1)
  108. (Move H2-G2)
  109. (Move B1-D1)
  110. (Move G2-H2)
  111. (Move D1-B1)
  112. (Move H2-G2)
  113. (Move B1-D1)
  114. (Move G2-H2)
  115. (Move D1-B1)
  116. (Move H2-G2)
  117. (Move B1-D1)
  118. (Move G2-H2)
  119. (Move D1-B1)
  120. (Move H2-G2)
  121. (Move B1-D1)
  122. (Move G2-H2)
  123. (Move F7-G7)
  124. (Move H2-G2)
  125. (Move G7-F7)
  126. (Move G2-H2)
  127. (Move D1-B1)
  128. (Move H2-G2)
  129. (Move B1-D1)

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 05:41 PM UTC:

In Ludii vs Biased UBFM, the game was a draw through three-times repetition. It was more interesting, because White kept chasing the King with its Queen while Black had two connected Rooks and a passed Pawn. I eventually took over for White and won, but it was probably due to Biased UBFM's bad playing.

  1. (Move E2-E4)
  2. (Move A7-A5)
  3. (Move D1-H5)
  4. (Move B7-B6)
  5. (Move F1-B5)
  6. (Move A5-A4)
  7. (Move D2-D4)
  8. (Move G8-F6)
  9. (Move G1-H3)
  10. (Move H7-H6)
  11. (Move B1-A3)
  12. (Move F6-H5)
  13. (Move C1-D2)
  14. (Move C7-C6)
  15. (Move H3-G5)
  16. (Move D8-C7)
  17. (Move B5-E2)
  18. (Move B6-B5)
  19. (Move E2-H5)
  20. (Move D7-D6)
  21. (Move H5-F7)
  22. (Move E8-D8)
  23. (Move H2-H4)
  24. (Move H6-H5)
  25. (Move D2-F4)
  26. (Move A8-A6)
  27. (Move G5-F3)
  28. (Move A6-A8)
  29. (Move E1-E2)
  30. (Move B5-B4)
  31. (Move C2-C3)
  32. (Move B4-A3)
  33. (Move B2-A3)
  34. (Move C7-B7)
  35. (Move F7-E6)
  36. (Move A8-A5)
  37. (Move F3-G5)
  38. (Move H8-G8)
  39. (Move G5-F7)
  40. (Move D8-E8)
  41. (Move F7-D6)
  42. (Move E7-D6)
  43. (Move D4-D5)
  44. (Move C6-D5)
  45. (Move A1-B1)
  46. (Move G7-G6)
  47. (Move B1-B7)
  48. (Move C8-B7)
  49. (Move E6-D7)
  50. (Move B8-D7)
  51. (Move C3-C4)
  52. (Move D5-C4)
  53. (Move H1-B1)
  54. (Move A5-A6)
  55. (Move B1-B7)
  56. (Move E8-D8)
  57. (Move F4-G5)
  58. (Move D8-C8)
  59. (Move B7-B1)
  60. (Move D6-D5)
  61. (Move G5-D2)
  62. (Move C8-D8)
  63. (Move D2-G5)
  64. (Move D8-E8)
  65. (Move G2-G4)
  66. (Move H5-G4)
  67. (Move H4-H5)
  68. (Move F8-A3)
  69. (Move H5-G6)
  70. (Move G8-H8)
  71. (Move G5-F4)
  72. (Move A3-C5)
  73. (Move G6-G7)
  74. (Move H8-H5)
  75. (Move A2-A3)
  76. (Move H5-H8)
  77. (Move F4-G5)
  78. (Move H8-H3)
  79. (Move G5-F6)
  80. (Move H3-H2)
  81. (Move B1-B8)
  82. (Move D7-B8)
  83. (Move F6-H4)
  84. (Move H2-H4)
  85. (Move G7-G8)
  86. (Promote G8 to Queen1)
  87. (Move E8-D7)
  88. (Move G8-D5)
  89. (Move D7-E8)
  90. (Move D5-C5)
  91. (Move H4-H6)
  92. (Move C5-E5)
  93. (Move E8-F8)
  94. (Move E5-B8)
  95. (Move F8-G7)
  96. (Move B8-E5)
  97. (Move G7-G8)
  98. (Move E5-G5)
  99. (Move G8-F8)
  100. (Move G5-D8)
  101. (Move F8-G7)
  102. (Move D8-D7)
  103. (Move G7-G8)
  104. (Move D7-D8)
  105. (Move G8-G7)
  106. (Move D8-D7)
  107. (Move G7-G8)
  108. (Move D7-D5)
  109. (Move G8-G7)
  110. (Move D5-D7)
  111. (Move G7-G8)
  112. (Move D7-D8)
  113. (Move G8-G7)
  114. (Move D8-D7)
  115. (Move G7-G8)
  116. (Move D7-D5)
  117. (Move G8-G7)
  118. (Move D5-D7)
  119. (Move G7-G8)
  120. (Move D7-D8)
  121. (Move G8-G7)
  122. (Move D8-D7)
  123. (Move G7-G8)
  124. (Move D7-D8)
  125. (Move G8-G7)
  126. (Move D8-D7)
  127. (Move G7-G8)
  128. (Move D7-D8)
  129. (Move G8-G7)
  130. (Move D8-D7)
  131. (Move G7-G8)
  132. (Move D7-D8)
  133. (Move G8-H7)
  134. (Move D8-D7)
  135. (Move H7-G8)
  136. (Move D7-D8)
  137. (Move G8-G7)
  138. (Move D8-D7)
  139. (Move G7-G8)
  140. (Move D7-D8)
  141. (Move G8-G7)
  142. (Move D8-D7)
  143. (Move G7-G8)
  144. (Move D7-D8)
  145. (Move G8-G7)
  146. (Move D8-D7)
  147. (Move G7-G8)
  148. (Move D7-D8)
  149. (Move G8-G7)
  150. (Move D8-D7)

At this point, I took over as White:

  1. (Move G7-G8)
  2. (Move D7-E8)
  3. (Move G8-H7)
  4. (Move E8-F7)
  5. (Move H7-H8)
  6. (Move F7-C4)
  7. (Move H8-G7)
  8. (Move E4-E5)
  9. (Move A6-A8)
  10. (Move C4-C7)
  11. (Move G7-G6)
  12. (Move E5-E6)
  13. (Move H6-H5)
  14. (Move E6-E7)
  15. (Move A8-H8)
  16. (Move C7-D6)
  17. (Move G6-F7)
  18. (Move D6-D7)
  19. (Move H5-E5)
  20. (Move E2-D3)
  21. (Move H8-E8)
  22. (Move D7-G4)
  23. (Move E8-D8)
  24. (Move D3-C3)
  25. (Move D8-H8)
  26. (Move F2-F4)
  27. (Move H8-H3)
  28. (Move G4-H3)
  29. (Move E5-D5)
  30. (Move H3-H7)
  31. (Move F7-E8)
  32. (Move H7-G7)
  33. (Move D5-D6)
  34. (Move G7-F8)
  35. (Move E8-D7)
  36. (Move E7-E8)
  37. (Promote E8 to Queen1)
  38. (Move D7-C7)
  39. (Move E8-C8)
  40. (Move C7-B6)
  41. (Move F8-D6)
  42. (Move B6-A7)
  43. (Move D6-A6)

Ai AiA computer program
. Ai Ai is a Java general game playing programme, with many chess variants.[All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Mon, Mar 20, 2023 06:11 PM UTC:

Since Ai Ai and Ludii both use Java, I ran a game of Chess against them. Ai Ai won. Since Ai Ai and Zillions-of-Games both run on the computer, I also ran a game between them. Zillions-of-Games won this one. I have uploaded the MGS files Ai Ai records games in: Ludii-vs-AiAi-at-Chess.mgs and ZoG-vs-AIAi-Chess.mgs.

I then ran a game between the Interactive Diagram and Ai Ai. This was a very close game, eventually coming down to a Pawn race in which Ai Ai had a Rook and two Pawns, and the Interactive Diagram had a Bishop and two Pawns. Ai Ai eventually won: ID-vs-AiAi-Chess.mgs

  1. d4 Nf6
  2. c3 d5
  3. Bf4 Bd7
  4. Qb3 Bc6
  5. Nd2 Nbd7
  6. O-O-O Nh5
  7. Bg5 h6
  8. Bh4 g5
  9. g4 Nhf6
  10. Bg3 Bg7
  11. h3 h5
  12. Ngf3 hxg4
  13. Nxg5 Bh6
  14. hxg4 Nxg4
  15. Bh3 Bxg5
  16. Bxg4 Rxh1
  17. Rxh1 Bxd2
  18. Kxd2 e6
  19. Rh8 Nf8
  20. Bf4 Qf6
  21. Rxf8 Kxf8
  22. Qb4 Ke8
  23. Bxc7 Qg5
  24. f4 Qxg4
  25. Be5 f6
  26. Bd6 Qg2
  27. Bc5 Kd7
  28. a4 b6
  29. Be7 Bxa4
  30. Bxf6 Bc6
  31. Qe7 Kc8
  32. Qxe6 Bd7
  33. Qe5 Kb7
  34. Bg5 Bg4
  35. Qe7 Kc6
  36. Qf6 Kb7
  37. Qe7 Kc6
  38. Qf6 Kb5
  39. Qe5 Kc4
  40. Qc7 Kb3
  41. Qe5 Kxb2
  42. c4 dxc4
  43. Qb5 Ka1
  44. Qa4 Kb2
  45. Qb4 Ka1
  46. Qxc4 Bxe2
  47. Qxe2 Qxe2
  48. Kxe2 Rf8
  49. Kf3 Ka2
  50. Ke2 Kb3
  51. Kd3 b5
  52. Bh6 Rf6
  53. Bg5 Rd6
  54. Be7 Rd7
  55. Bc5 b4
  56. f5 Ka4
  57. Kc4 b3
  58. Kc3 Rf7
  59. Kc4 b2
  60. f6 b1=Q
  61. Kc3 Rxf6
  62. Bxa7 Rf3
  63. Kd2 Qd3
  64. Kc1 Kb3
  65. Bc5

🕸Fergus Duniho wrote on Mon, Mar 20, 2023 10:35 PM UTC in reply to Fergus Duniho from 06:11 PM:

Since Ai Ai beat the Interactive Diagram at its default settings, I raised the Interactive Diagram to 4 plies and tried again. This game ended in a draw by three-times repetition, as called by Ai Ai at move 60. Apart from that, the Interactive Diagram was ahead in material and might have won with better endgame play. Here's the MGS file from Ai Ai: ID4-vs-AiAi-Chess.mgs. At move 60, I let the Interactive Diagram, which had been playing White, continue as Black, and I took over as White, eventually checkmating Black.

  1. c4 Nf6
  2. d4 e6
  3. Qa4 Be7
  4. Nc3 Nc6
  5. Be3 Bb4
  6. O-O-O Bxc3
  7. bxc3 Ng4
  8. d5 exd5
  9. cxd5 Nxe3
  10. Qe4 Qe7
  11. Qxe3 Qxe3
  12. fxe3 Ne5
  13. Nf3 Ng4
  14. Rd4 Nf2
  15. Rg1 c5
  16. Rf4 f5
  17. Nh4 Ne4
  18. Nxf5 Nxc3
  19. Nd6 Ke7
  20. Nf5 Kd8
  21. Nxg7 Nxd5
  22. Rf3 Nb4
  23. a4 Kc7
  24. g4 d5
  25. Rf7 Kd6
  26. Rf6 Ke5
  27. Nh5 Na2
  28. Kb2 Nb4
  29. Rf7 b6
  30. Nf4 Kd6
  31. Rf6 Ke7
  32. Rg6 Nd3
  33. exd3 hxg6
  34. Nxg6 Ke6
  35. Nxh8 Rb8
  36. Ng6 Bd7
  37. Nf4 Kd6
  38. Bg2 d4
  39. exd4 cxd4
  40. Ne2 Ke5
  41. Be4 b5
  42. a5 b4
  43. h3 Rb5
  44. Ra1 a6
  45. Ng1 Be6
  46. Nf3 Kf6
  47. Nxd4 Re5
  48. Nxe6 Kxe6
  49. Bf5 Kd6
  50. Kb3 Ke7
  51. Kxb4 Rb5
  52. Kc4 Kd6
  53. Be4 Rc5
  54. Kd4 Re5
  55. Ra2 Rb5
  56. Ra3 Ke6
  57. Bf5 Kd6
  58. Be4 Ke6
  59. Bf5 Kd6
  60. Be4 Rb8
  61. g5 h4
  62. Ra2 Rh8
  63. Rh2 Re8
  64. h5 Re5
  65. h6 Rxa5
  66. h7 Ra4
  67. Ke3 Ra1
  68. h8=Q Re1
  69. Kd4 Ra1
  70. Rh6 Kc7
  71. Qg7 Kb8
  72. Rh8

King of the Mountain. Be the first player to get your King to the top of the hill! (19x19) [All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Mon, Mar 20, 2023 10:45 PM UTC in reply to Paul Newton from 09:02 PM:

I didn't know that Excel could be used for making board diagrams. Anyway, the closest thing I have to Excel is LibreOffice Calc, and I've never used it that way. Paint.net will let you resize images using the Resize menu item in the Image menu. You may also use the keyboard shortcut of Ctrl-R.


Awards given to the Chess Variant Pages. Awards given to the Chess Variant Pages.[All Comments] [Add Comment or Rating]
🕸Fergus Duniho wrote on Tue, Mar 21, 2023 08:42 PM UTC:

Since many of these award sites or programs are defunct, I used the Wayback Machine to search for the pages that actually mention the Chess Variant Pages, and when I found one, I changed the link to an archived version of that page. After all, displaying awards is more meaningful if we can document that we actually got the awards.


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