In head-to-head trial S343-0 across 74 deals (No-Comm Streak, 1.4579% edge), Fibonacci records a -54u peak envelope and 13.84% ruin probability on a 90-unit stack, whereas D'Alembert logs a -30u trough and 7.57% ruin under the 65-unit limit. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S343 (Fibonacci vs D'Alembert, 11-Hand Banker Run under No-Commission Banker 6 Half-Pay). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Stress cell S343 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 74 hands.
Probability of exhausting the 90-unit bankroll under a 65-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 74 coups.
Deepest unit trough triggered by a 11-hand run inside the streak shoe profile.
Reflects 8.11% tie frequency (6 pushes) and 1.93u in vigorish friction.
Within bankroll-constrained testbed S343-1, a 90-unit bankroll facing 74 coups of No-Comm Streak (streak) and a 65-unit maximum wager documents 13.84% ruin (3.12u expected loss) on Fibonacci Negative Sequence versus 7.57% ruin (1.86u expected loss) on D'Alembert Pyramid.
In head-to-head trial S343-2 across 74 deals (No-Comm Streak, 1.4579% edge), Fibonacci records a -54u peak trajectory and 13.84% ruin probability on a 90-unit stack, whereas D'Alembert logs a -30u trough and 7.57% ruin under the 65-unit limit.
| S343 absorption-curve | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 74-Hand Ruin (90u) | 13.84% | 7.57% |
| No-Comm Streak Hold (1.4579%) | 3.12u | 1.86u |
| 11-Run Trough (65u Cap) | -54u | -30u |
Within absorbing-barrier testbed S343-3, a 90-unit bankroll facing 74 coups of No-Comm Streak (streak) and a 65-unit maximum wager profiles 13.84% ruin (3.12u expected loss) on Fibonacci Negative Sequence versus 7.57% ruin (1.86u expected loss) on D'Alembert Pyramid.
In head-to-head trial S343-4 across 74 deals (No-Comm Streak, 1.4579% edge), Fibonacci records a -54u peak cycle-span and 13.84% ruin probability on a 90-unit stack, whereas D'Alembert logs a -30u trough and 7.57% ruin under the 65-unit limit.
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