Evaluating Fibonacci vs D'Alembert in scenario S348-0 (140 hands, 95u stack, 70u table limit) audits how 13 tie stalls (9.29%) and a 2-coup run shape non-stationary cadence, yielding 22.74% vs 12.37% ruin. 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 S348 (Fibonacci vs D'Alembert, Two-Shoe Strict Alternation 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 S348 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 140 hands.
Probability of exhausting the 95-unit bankroll under a 70-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 140 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.29% tie frequency (13 pushes) and 2.40u in vigorish friction.
Stress test S348-1 profiles Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) against D'Alembert Pyramid (+1 on loss / -1 on win) inside a 95-unit bankroll over 140 hands (Player 1:1 Chop, chop), where a 70-unit table ceiling produces 22.74% vs 12.37% ruin rates and computes 2.40u in variance-scaled vigorish drag.
Evaluating Fibonacci vs D'Alembert in scenario S348-2 (140 hands, 95u stack, 70u table limit) verifies how 13 tie stalls (9.29%) and a 2-coup run shape combinatorial escalation, yielding 22.74% vs 12.37% ruin.
| S348 drawdown-slope | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 140-Hand Ruin (95u) | 22.74% | 12.37% |
| Player 1:1 Chop Hold (1.2351%) | 5.00u | 2.99u |
| 2-Run Trough (70u Cap) | -19u | -13u |
Stress test S348-3 benchmarks Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) against D'Alembert Pyramid (+1 on loss / -1 on win) inside a 95-unit bankroll over 140 hands (Player 1:1 Chop, chop), where a 70-unit table ceiling produces 22.74% vs 12.37% ruin rates and verifies 2.40u in session-bounded vigorish drag.
Evaluating Fibonacci vs D'Alembert in scenario S348-4 (140 hands, 95u stack, 70u table limit) tracks how 13 tie stalls (9.29%) and a 2-coup run shape asymmetric exposure, yielding 22.74% vs 12.37% ruin.
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