[ View Thread ] [ Post Response ] [ Return to Index ] [ Read Prev Msg ] [ Read Next Msg ]

BGonline.org Forums

Triple Point Position

Posted By: Tom Keith
Date: Tuesday, 6 August 2013, at 8:55 p.m.

In Response To: 4-away 8-away cube decision (Tom Keith)

Water has three common states: If the temperature is sufficiently cold, it freezes and becomes ice. As you raise the temperature, the ice melts and becomes water. And as you raise the temperature some more, the water boils and becomes steam. We run into this every day when we freeze water to make ice cubes or boil water to make tea.

But at low enough pressure, water will go directly from being a solid (ice) to a gas (steam) without becoming a liquid in between. And, at just the right combination of pressure and temperature, water can be in any one of its three states -- solid, liquid, or gas. This is called the "triple point" of water.

It occurs to me that cube actions work the same way. In most match scores (and in money play), the cube does what we are used to: At low winning chances the correct cube action is "not good enough to double." Then, as our chances improve, the cube action goes from "not good enough" to "double/take." Then from "double/take" to "double/pass." And finally (if we have any gammon chances) from "double/pass" to "too good to double."

That's what happens most of the time. But at some scores, and with enough gammons, the correct cube action can go straight from "not good enough" to "too good," without passing through "double/take" and "double/drop."

That got me wondering. Is there a "triple point" of cube actions? A position that is all three states at the same time?

So I went looking, and this is the best I could find. Within the statistical accuracy of the rollout, the following position is: (1) no double, (2) double/take, and (3) double/pass. You don't see that every day!


White is Opponent

score: 3
pip: 57
11 point match
pip: 94
score: 7

Blue is You
Blue on roll, cube action?

Analyzed in Rollout No redouble Redouble/Take
  Player Winning Chances: 86.609% (G:21.985% B:0.892%) 87.577% (G:15.070% B:0.291%)
  Opponent Winning Chances: 13.391% (G:1.128% B:0.003%) 12.423% (G:1.728% B:0.005%)
  Cubeless Equities +0.9539 +1.4632
Cubeful Equities
     No redouble:+0.9999 (-0.0001)±0.0017 (+0.9982..+1.0015)
xg Redouble/Take:+1.0033 (+0.0033)±0.0040 (+0.9993..+1.0073)
Best Cube action: Redouble / Pass
Rollout details
5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:56.5%
Take Decision confidence:94.7%
Duration: 4 minutes 18 seconds

eXtreme Gammon Version: 2.03, MET: Kazaross XG2

Messages In This Thread


Post Response

Your Name:
Your E-Mail Address:

If necessary, enter your password below:




[ View Thread ] [ Post Response ] [ Return to Index ] [ Read Prev Msg ] [ Read Next Msg ]

BGonline.org Forums is maintained by Stick with WebBBS 5.12.