• Backgamee boxcars

    From Timothy Chow@21:1/5 to All on Tue Dec 14 09:09:33 2021
    XGID=-AbcCBBBB-B--A--ababbb----:1:-1:1:66:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O O | | O O O | +---+
    | O | | O O O | | 2 |
    | | | | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X O |
    | X X X | | X X X O O |
    | X X X | | X X X O O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 98 O: 174 X-O: 0-0
    Cube: 2, O own cube
    X to play 66

    ---
    Tim Chow

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  • From pepstein5@gmail.com@21:1/5 to Tim Chow on Tue Dec 14 06:29:57 2021
    On Tuesday, December 14, 2021 at 2:09:35 PM UTC, Tim Chow wrote:
    XGID=-AbcCBBBB-B--A--ababbb----:1:-1:1:66:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O O | | O O O | +---+
    | O | | O O O | | 2 |
    | | | | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X O |
    | X X X | | X X X O O |
    | X X X | | X X X O O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 98 O: 174 X-O: 0-0
    Cube: 2, O own cube
    X to play 66

    I'm not even sure that posting this problem is even legal.
    (Even in free countries, not every single posting is allowed.)
    I do remember an adage -- "Clear from the rear, and don't ask questions." However, you did ask a question (implicitly), n'est-ce pas?

    I'll follow the adage by maintaining the 5 point prime, confidently expecting to
    be blindsided by Tricky Tim.

    Paul

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  • From Timothy Chow@21:1/5 to peps...@gmail.com on Tue Dec 14 21:38:25 2021
    On 12/14/2021 9:29 AM, peps...@gmail.com wrote:
    I do remember an adage -- "Clear from the rear, and don't ask questions."

    This adage is usually attributed to Kit Woolsey. I'm not sure if
    this is the only reference, but I think it's the main reference:

    https://bkgm.com/articles/Woolsey/AcePoint-DoYouKnowYourAcePoint/index.html

    Woolsey says, "If the resulting position is relatively smooth, clear
    from the back and don't ask any questions. This has clear priority
    over any odd-even considerations." What is often overlooked is that
    this article of Kit's was about ace-point games. While clearing from
    the rear is often still a good principle in other situations, there
    tend to be more exceptions the further your position is from an
    ace-point game.

    ---
    Tim Chow

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  • From Timothy Chow@21:1/5 to All on Thu Dec 16 22:57:50 2021
    XGID=-AbcCBBBB-B--A--ababbb----:1:-1:1:66:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O O | | O O O | +---+
    | O | | O O O | | 2 |
    | | | | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X O |
    | X X X | | X X X O O |
    | X X X | | X X X O O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 98 O: 174 X-O: 0-0
    Cube: 2, O own cube
    X to play 66

    One strength of the 23-backgame is that it can force the backgamee to
    dump checkers awkwardly to the 1pt. In the chapter of "Backgammon
    Boot Camp" entitled, "Please Don't Eat the Checkers!" Trice says,
    "The ace point often acts like a Black Hole. Once a checker lands
    on it, it starts sucking others in, gathering more and more
    gravitational force, until a player's entire position has collapsed
    into a dimensionless cosmic void. It is all the worse if a player
    helps the process along, unwittingly destroying his own game."

    So it may come as a shock that XG voluntarily kills three checkers
    to the 1pt with this roll! What's going on? Why not hold the
    five-prime? The trouble is that X is actually the underdog in this
    position. O's timing is pretty good after X plays these 24 pips,
    and X cannot expect to hold his five-prime for very long. He has
    to start thinking about whether he has nasty blotting rolls coming
    up. If X plays 13/1 10/4(2), then 65 is an immediate horror roll
    and 64 leaves a blot too. If he rolls some other 5 or 4 then he
    won't be forced to blot right away, but his bar point will remain
    a liability. Also, his checkers on the 10pt are an asset, since
    he can play an awkward number using one of the checkers on the 10pt
    and the remaining blot won't be in direct-shot range; playing 10/4(2) eliminates that asset.

    In summary, X needs to be thinking now about clearing tough points,
    and 13/1 7/1(2) clears a tough point. The Black Hole is unfortunate
    but it's the best of a bad lot.

    1. Rollout¹ 13/1 7/1(2) eq:-0.127
    Player: 44.73% (G:27.26% B:1.03%)
    Opponent: 55.27% (G:8.36% B:0.35%)
    Confidence: ±0.011 (-0.138..-0.117) - [100.0%]

    2. Rollout¹ 10/4(2) 7/1(2) eq:-0.237 (-0.110)
    Player: 42.37% (G:25.96% B:1.29%)
    Opponent: 57.63% (G:10.65% B:0.49%)
    Confidence: ±0.012 (-0.249..-0.225) - [0.0%]

    3. Rollout¹ 13/1 10/4(2) eq:-0.273 (-0.145)
    Player: 42.16% (G:24.33% B:1.12%)
    Opponent: 57.84% (G:10.95% B:0.46%)
    Confidence: ±0.013 (-0.285..-0.260) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

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