Yup, Blue 4/6 was the first variant I checked as well. Certainly instructive, going from 1.083 to 0.833. I adjusted further, though, looking for a cusp (cube decision within .01), to keep with Paul's theme.
Your 4/6 variant is the same as mine, except I moved the other two 4pt checkers forward to the 3pt, which creates a borderline No Double. It is the third diagram here, though it is also copied below for convenience.
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| XGID=-a-B-bECC---bB----abbbba--:0:0:1:00:0:0:3:0:10 | |||||
Borderline Double (Blue is adjusted 444 to 633, same pipcount) | |||||
| Analyzed in Rollout | No double | Double/Take |
| Player Winning Chances: | 70.66% (G:9.67% B:0.18%) | 70.90% (G:9.70% B:0.18%) |
| Opponent Winning Chances: | 29.34% (G:4.91% B:0.10%) | 29.10% (G:4.86% B:0.10%) |
| Cubeless Equities | +0.462 | +0.934 |
| Cubeful Equities | ||
| No double: | +0.763 (-0.006) | ±0.005 (+0.758..+0.767) |
| Double/Take: | +0.769 | ±0.006 (+0.763..+0.775) |
| Double/Pass: | +1.000 (+0.231) | |
| Best Cube action: Double / Take | ||
| Rollout details | ||
| 5184 Games rolled with Variance Reduction. Dice Seed: 86174152 Moves: 3-ply, cube decisions: XG Roller | ||
| Double Decision confidence: | 94.5% | |
| Take Decision confidence: | 100.0% | |
| Duration: 17 minutes 57 seconds | ||
Even a spare on the 3pt is useful, which you'll note by comparing the result of the above position with the result of the position below (which, BTW, is also an easy redouble -- margin of .038 by 5k rollout not shown).
It is, of course, far better to have three checkers on the 4pt (Stick's original position, 1.083 pass) than three on the 3pt. But three on the 3pt (the double by .051) easily beats two on the 4pt plus a fifth on the 6pt (the borderline double shown in the first diagram).
Nack
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| XGID=-a-C-bDCC---bB----abbbba--:0:0:1:00:0:0:3:0:10 | |||||
Big double (Blue has a spare on his 3pt) | |||||
| Analyzed in Rollout | No double | Double/Take |
| Player Winning Chances: | 72.64% (G:10.43% B:0.20%) | 72.90% (G:10.33% B:0.19%) |
| Opponent Winning Chances: | 27.36% (G:3.76% B:0.09%) | 27.10% (G:3.96% B:0.10%) |
| Cubeless Equities | +0.520 | +1.045 |
| Cubeful Equities | ||
| No double: | +0.857 (-0.051) | ±0.006 (+0.851..+0.863) |
| Double/Take: | +0.908 | ±0.008 (+0.900..+0.916) |
| Double/Pass: | +1.000 (+0.092) | |
| Best Cube action: Double / Take | ||
| Rollout details | ||
| 2592 Games rolled with Variance Reduction. Dice Seed: 75076730 Moves: 3-ply, cube decisions: XG Roller | ||
| Double Decision confidence: | 100.0% | |
| Take Decision confidence: | 100.0% | |
| Duration: 6 minutes 59 seconds | ||