Pairing a 140-unit bankroll against 216 hands of Player 1:1 Streak (1.2351% edge) in cell S349-0 charts Fibonacci at 23.06% ruin and -43u peak ledger, whereas D'Alembert records 13.16% ruin and -25u below the 90-unit ceiling. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S349 (Fibonacci vs D'Alembert, Three-Shoe Adverse 8-Run on Even-Money Player Wagers). 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 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
Stress cell S349 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 216 hands.
Probability of exhausting the 140-unit bankroll under a 90-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 216 coups.
Deepest unit trough triggered by a 8-hand run inside the streak shoe profile.
Reflects 9.26% tie frequency (20 pushes) and 3.70u in vigorish friction.
Across 216 resolved and tied deals under Player 1:1 Streak (1.2351% edge), absorbing-barrier comparison S349-1 inspects Fibonacci Negative Sequence against D'Alembert Pyramid on a 140-unit bankroll, showing that 8-hand clusters and a 90-unit ceiling drive 23.06% vs 13.16% stop-loss breaches along the discrete-time drawdown-slope.
Pairing a 140-unit bankroll against 216 hands of Player 1:1 Streak (1.2351% edge) in cell S349-2 documents Fibonacci at 23.06% ruin and -43u peak excursion, whereas D'Alembert records 13.16% ruin and -25u below the 90-unit ceiling.
| S349 excursion | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 216-Hand Ruin (140u) | 23.06% | 13.16% |
| Player 1:1 Streak Hold (1.2351%) | 7.71u | 4.61u |
| 8-Run Trough (90u Cap) | -43u | -25u |
Across 216 resolved and tied deals under Player 1:1 Streak (1.2351% edge), eight-deck comparison S349-3 audits Fibonacci Negative Sequence against D'Alembert Pyramid on a 140-unit bankroll, showing that 8-hand clusters and a 90-unit ceiling drive 23.06% vs 13.16% stop-loss breaches along the asymmetric footprint.
Pairing a 140-unit bankroll against 216 hands of Player 1:1 Streak (1.2351% edge) in cell S349-4 profiles Fibonacci at 23.06% ruin and -43u peak turnover, whereas D'Alembert records 13.16% ruin and -25u below the 90-unit ceiling.
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