Matchup S435-0 profiles how a 160-unit roll and 100-unit pit maximum govern Rev Fibonacci versus Contra D'Alembert during 288 hands of 4-Shoe Chop: variance-scaled escalation divergence pushes primary ruin to 27.57% against 14.56% for the benchmark while tracks 2.92u 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 S435 (Rev Fibonacci vs Contra D'Alembert, Four-Shoe Alternating Sawtooth under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
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.
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 S435 compares 1-1-2-3-5-8-13 against +1 on win / -1 on loss over 288 hands.
Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.38% tie frequency (27 pushes) and 2.92u in vigorish friction.
During 288 deals of 4-Shoe Chop (chop) in audit S435-1, Reverse Fibonacci Press (1-1-2-3-5-8-13) and Contra D'Alembert Press (+1 on win / -1 on loss) navigate 27 tie pushes on a 160-unit roll with a 100-unit cap, verifies 27.57% vs 14.56% ruin and 2.92u in commission drag.
Matchup S435-2 benchmarks how a 160-unit roll and 100-unit pit maximum govern Rev Fibonacci versus Contra D'Alembert during 288 hands of 4-Shoe Chop: session-bounded exposure divergence pushes primary ruin to 27.57% against 14.56% for the benchmark while maps 2.92u in commission friction.
| S435 progression-curve | Rev Fibonacci | Contra D'Alembert |
|---|---|---|
| Rev Fibonacci / Contra D'Alembert Rule | 1-1-2-3-5-8-13 | +1 on win / -1 on loss |
| 288-Hand Ruin (160u) | 27.57% | 14.56% |
| 4-Shoe Chop Hold (1.0579%) | 6.08u | 4.85u |
| 3-Run Trough (100u Cap) | -24u | -16u |
During 288 deals of 4-Shoe Chop (chop) in audit S435-3, Reverse Fibonacci Press (1-1-2-3-5-8-13) and Contra D'Alembert Press (+1 on win / -1 on loss) navigate 27 tie pushes on a 160-unit roll with a 100-unit cap, tracks 27.57% vs 14.56% ruin and 2.92u in commission drag.
Matchup S435-4 calibrates how a 160-unit roll and 100-unit pit maximum govern Rev Fibonacci versus Contra D'Alembert during 288 hands of 4-Shoe Chop: finite-shoe profile divergence pushes primary ruin to 27.57% against 14.56% for the benchmark while benchmarks 2.92u 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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
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.