Matchup S340-0 models how a 80-unit roll and 60-unit pit maximum govern Fibonacci versus D'Alembert during 75 hands of 5% Comm Streak: capital-bounded exposure divergence pushes primary ruin to 14.58% against 7.81% for the benchmark while benchmarks 1.10u in commission friction. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S340 (Fibonacci vs D'Alembert, 9-Hand Dragon Streak Shoe under 5% Banker Commission). 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
Stress cell S340 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 75 hands.
Probability of exhausting the 80-unit bankroll under a 60-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 75 coups.
Deepest unit trough triggered by a 9-hand run inside the streak shoe profile.
Reflects 8.4% tie frequency (6 pushes) and 1.10u in vigorish friction.
During 75 deals of 5% Comm Streak (streak) in audit S340-1, Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) and D'Alembert Pyramid (+1 on loss / -1 on win) navigate 6 tie pushes on a 80-unit roll with a 60-unit cap, measures 14.58% vs 7.81% ruin and 1.10u in commission drag.
Matchup S340-2 dissects how a 80-unit roll and 60-unit pit maximum govern Fibonacci versus D'Alembert during 75 hands of 5% Comm Streak: bankroll-constrained profile divergence pushes primary ruin to 14.58% against 7.81% for the benchmark while computes 1.10u in commission friction.
| S340 turnover | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 75-Hand Ruin (80u) | 14.58% | 7.81% |
| 5% Comm Streak Hold (1.0579%) | 2.29u | 1.37u |
| 9-Run Trough (60u Cap) | -49u | -28u |
During 75 deals of 5% Comm Streak (streak) in audit S340-3, Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) and D'Alembert Pyramid (+1 on loss / -1 on win) navigate 6 tie pushes on a 80-unit roll with a 60-unit cap, quantifies 14.58% vs 7.81% ruin and 1.10u in commission drag.
Matchup S340-4 computes how a 80-unit roll and 60-unit pit maximum govern Fibonacci versus D'Alembert during 75 hands of 5% Comm Streak: absorbing-barrier boundary divergence pushes primary ruin to 14.58% against 7.81% for the benchmark while verifies 1.10u in commission friction.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.