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Variants (XGR++)

Posted By: Timothy Chow
Date: Sunday, 30 March 2014, at 6:16 p.m.

In Response To: Random Aces - XGR+ (Stick)

O.K., I looked into this a bit more. First off, as Neil suggested, the cube location matters a lot. Shuffling White's checkers around has much less of an effect than the cube location.

If Blue owns the cube then things get more interesting. Here's the original position:





White is Player 2

score: 0
pip: 70
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Baccacb-:1:1:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/17 18/15eq: -0.078
Player:
Opponent:
40.17% (G:8.78% B:0.40%)
59.83% (G:5.94% B:0.09%)
2.XG Roller++18/16(2)eq: -0.109 (-0.031)
Player:
Opponent:
39.47% (G:0.84% B:0.02%)
60.53% (G:0.24% B:0.00%)
3.XG Roller++6/5 6/3eq: -0.120 (-0.042)
Player:
Opponent:
38.14% (G:0.92% B:0.01%)
61.86% (G:1.14% B:0.01%)
4.XG Roller++6/2eq: -0.126 (-0.048)
Player:
Opponent:
38.05% (G:0.88% B:0.01%)
61.95% (G:1.46% B:0.02%)
5.XG Roller++6/4(2)eq: -0.128 (-0.050)
Player:
Opponent:
37.89% (G:0.77% B:0.01%)
62.11% (G:1.01% B:0.01%)
6.XG Roller++18/17(2) 6/4eq: -0.137 (-0.059)
Player:
Opponent:
37.54% (G:0.70% B:0.01%)
62.46% (G:0.81% B:0.01%)

eXtreme Gammon Version: 2.10


With blots on 6pt and 4pt:





White is Player 2

score: 0
pip: 68
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Bacaccb-:1:1:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/16(2)eq: -0.129
Player:
Opponent:
38.57% (G:0.69% B:0.01%)
61.43% (G:0.20% B:0.00%)
2.XG Roller++6/5 6/3eq: -0.129 (-0.001)
Player:
Opponent:
37.72% (G:0.74% B:0.01%)
62.28% (G:0.98% B:0.01%)
3.XG Roller++6/2eq: -0.132 (-0.003)
Player:
Opponent:
37.77% (G:0.74% B:0.01%)
62.23% (G:1.28% B:0.02%)
4.XG Roller++6/4(2)eq: -0.136 (-0.008)
Player:
Opponent:
37.47% (G:0.74% B:0.01%)
62.53% (G:0.99% B:0.01%)
5.XG Roller++18/17(2) 6/4eq: -0.149 (-0.021)
Player:
Opponent:
36.76% (G:0.72% B:0.01%)
63.24% (G:0.65% B:0.01%)
6.XG Roller++5/4 5/2eq: -0.154 (-0.025)
Player:
Opponent:
36.45% (G:0.53% B:0.01%)
63.55% (G:0.95% B:0.01%)
7.XG Roller++18/17 18/15eq: -0.157 (-0.028)
Player:
Opponent:
38.14% (G:7.01% B:0.26%)
61.86% (G:5.79% B:0.08%)

eXtreme Gammon Version: 2.10


With blots on 6pt and 5pt:





White is Player 2

score: 0
pip: 66
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Baacccb-:1:1:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/17 18/15eq: -0.107
Player:
Opponent:
39.75% (G:6.15% B:0.20%)
60.25% (G:4.31% B:0.06%)
2.XG Roller++6/5 6/3eq: -0.143 (-0.036)
Player:
Opponent:
36.92% (G:0.94% B:0.01%)
63.08% (G:0.77% B:0.01%)
3.XG Roller++6/2eq: -0.149 (-0.042)
Player:
Opponent:
36.83% (G:0.90% B:0.01%)
63.17% (G:1.10% B:0.01%)
4.XG Roller++6/4(2)eq: -0.150 (-0.043)
Player:
Opponent:
36.73% (G:0.95% B:0.01%)
63.27% (G:0.82% B:0.01%)
5.XG Roller++18/16(2)eq: -0.169 (-0.062)
Player:
Opponent:
36.94% (G:0.71% B:0.01%)
63.06% (G:0.17% B:0.00%)
6.XG Roller++18/14eq: -0.204 (-0.097)
Player:
Opponent:
36.18% (G:6.23% B:0.24%)
63.82% (G:4.87% B:0.07%)

eXtreme Gammon Version: 2.10


With blots on 5pt and 3pt:





White is Player 2

score: 0
pip: 72
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Bcacacb-:1:1:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/17 18/15eq: -0.038
Player:
Opponent:
41.77% (G:8.04% B:0.35%)
58.23% (G:5.68% B:0.08%)
2.XG Roller++18/16(2)eq: -0.049 (-0.011)
Player:
Opponent:
41.84% (G:0.90% B:0.01%)
58.16% (G:0.23% B:0.00%)

eXtreme Gammon Version: 2.10


With blots on 5pt and 4pt:





White is Player 2

score: 0
pip: 70
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Bcaaccb-:1:1:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/16(2)eq: -0.070
Player:
Opponent:
41.14% (G:0.84% B:0.01%)
58.86% (G:0.15% B:0.00%)
2.XG Roller++6/5 6/3eq: -0.081 (-0.010)
Player:
Opponent:
39.70% (G:0.92% B:0.01%)
60.30% (G:0.81% B:0.01%)
3.XG Roller++6/4(2)eq: -0.085 (-0.015)
Player:
Opponent:
39.51% (G:0.84% B:0.01%)
60.49% (G:0.80% B:0.01%)
4.XG Roller++6/2eq: -0.088 (-0.018)
Player:
Opponent:
39.46% (G:0.95% B:0.01%)
60.54% (G:1.12% B:0.01%)
5.XG Roller++18/17(2) 6/4eq: -0.098 (-0.028)
Player:
Opponent:
39.31% (G:0.83% B:0.01%)
60.69% (G:0.72% B:0.01%)
6.XG Roller++18/17 18/15eq: -0.099 (-0.029)
Player:
Opponent:
40.10% (G:6.37% B:0.22%)
59.90% (G:5.57% B:0.08%)

eXtreme Gammon Version: 2.10


With blots on 4pt and 3pt:





White is Player 2

score: 0
pip: 74
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Bccaacb-:1:1:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/16(2)eq: +0.006
Player:
Opponent:
44.11% (G:0.96% B:0.01%)
55.89% (G:0.29% B:0.00%)
2.XG Roller++18/17(2) 6/4eq: -0.030 (-0.036)
Player:
Opponent:
42.22% (G:0.93% B:0.02%)
57.78% (G:0.97% B:0.02%)
3.XG Roller++18/17(2) 6/5(2)eq: -0.044 (-0.050)
Player:
Opponent:
41.41% (G:0.98% B:0.02%)
58.59% (G:0.59% B:0.00%)
4.XG Roller++6/5 6/3eq: -0.057 (-0.063)
Player:
Opponent:
41.09% (G:0.95% B:0.02%)
58.91% (G:1.31% B:0.02%)
5.XG Roller++6/2eq: -0.060 (-0.065)
Player:
Opponent:
41.13% (G:1.01% B:0.02%)
58.87% (G:1.60% B:0.03%)
6.XG Roller++6/4(2)eq: -0.060 (-0.066)
Player:
Opponent:
40.97% (G:0.85% B:0.02%)
59.03% (G:1.25% B:0.02%)
7.XG Roller++18/17(2) 5/4(2)eq: -0.063 (-0.069)
Player:
Opponent:
40.55% (G:0.69% B:0.01%)
59.45% (G:0.75% B:0.01%)
8.XG Roller++18/17(2) 5/3eq: -0.071 (-0.077)
Player:
Opponent:
40.28% (G:0.86% B:0.02%)
59.72% (G:1.21% B:0.02%)
9.XG Roller++18/17 18/15eq: -0.075 (-0.081)
Player:
Opponent:
41.08% (G:6.95% B:0.27%)
58.92% (G:6.99% B:0.12%)

eXtreme Gammon Version: 2.10


With blots on 4pt and 3pt, with cube back in the center:





White is Player 2

score: 0
pip: 74
Unlimited Game
pip: 79
score: 0

Blue is Player 1
XGID=-CBBBBB-----b-----Bccaacb-:0:0:1:11:0:0:0:0:10
Blue to play 11

1.XG Roller++18/17 18/15eq: -0.189
Player:
Opponent:
41.18% (G:6.93% B:0.27%)
58.82% (G:7.12% B:0.12%)
2.XG Roller++18/16(2)eq: -0.198 (-0.009)
Player:
Opponent:
44.09% (G:1.02% B:0.02%)
55.91% (G:0.33% B:0.00%)

eXtreme Gammon Version: 2.10

I forgot to check what happens if White owns the cube; I'll try to remember to investigate that and post if it turns out to be interesting.

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