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Mirrored positions

In this part we’ll only cover positions where green and white have a mirrored position.

Pip counts: gnubg 10, ace 10
Position ID: hgAAYAgAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.535
	0.767 0.000 0.000 – 0.233 0.000 0.000
Cubeful equities:
1.	Double, take	+0.966
2.	Double, pass	+1.000	+0.034
3.	No double	+0.621	-0.345
Proper cube action:		Redouble, take

Position 622 looks like the only one with 10 pips which is a moneygame take. All other mirror positions (433, 442, 532, 541, 631) are a redouble/pass.

Pip counts: gnubg 11, ace 11
Position ID: TAAAwAQAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.509
	0.755 0.000 0.000 – 0.245 0.000 0.000
Cubeful equities:
1.	Double, take	+0.974
2.	Double, pass	+1.000	+0.026
3.	No double	+0.601	-0.373
Proper cube action:		Redouble, take

Pip counts: gnubg 11, ace 11
Position ID: igAAoAgAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.536
	0.768 0.000 0.000 – 0.232 0.000 0.000
Cubeful equities:
1.	Double, take	+1.000
2.	Double, pass	+1.000	+0.000
3.	No double	+0.627	-0.373
Proper cube action:		Redouble, take

533 is the only redouble/take position at a pipcount of 11. 632 is a borderline take/pass. All other mirror positions (443, 542, 551, 641) are redouble/pass.

Pip counts: gnubg 12, ace 12
Position ID: oQAAEAoAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.539
	0.770 0.000 0.000 – 0.230 0.000 0.000
Cubeful equities:
1.	Double, pass	+1.000
2.	Double, take	+1.024	+0.024
3.	No double	+0.640	-0.360
Proper cube action:		Redouble, pass

At a pipcount of 12
Position 651 is the only mirror position which is a redouble/pass. All others (444, 543, 552, 633, 642) are a redouble/take.

Non mirrored positions

For non-mirrored positions I get the following results:

10 433 442 532 541 622 631 433 P P P P P P 442 P P P P P P 532 P P P P P P 541 P P P P P P 622 T T T T T T 631 P P P P P P

11 443 533 542 551 632 641 443 P P P P T P 533 P T T P T T/P 542 P P P P P P 551 T T T P T T 632 P P P P T/P P 641 P P P P P P

12 444 543 552 633 642 651 444 T T T T T T 543 P T P T T T 552 T T T T T T 633 T T T T T T 642 P T P T T T 651 P T P T T P

Some conclusions:

• All positions with a pipcount of 9 or less are a redouble/drop.
• All positions with a pipcount of 13 or more are a redouble and a take.
• Besides 622 on the rollers side all positions with 10 pips are a redouble/pass.
• Most positions with 11 pips are a redouble/pass.
• Most positions with 12 pips are a redouble/take.