Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Rev Fibonacci vs Contra D'Alembert (No-Comm Chop)
STAGE 2 STRESS TEST · REV FIBONACCI VS CONTRA D'ALEMBERT

Reverse Fibonacci Press vs. Contra D'Alembert Press — Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay (70-Hand Stress Test)

Benchmark S426-0 computes the table-capped cycle-span between Rev Fibonacci and Contra D'Alembert over 70 hands of No-Comm Chop: with 65 units, a 50-unit cap, and 1.4579% house edge, ruin settles at 16.61% vs 8.71% while sequential decay-rate reaches -18u. 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.

Rev Fibonacci Ruin Rate
16.61%
Contra D'Alembert Ruin Rate
8.71%
Peak Trough (2-Run)
-18u
No-Comm Chop House Edge
1.4579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P B P B P B B P P B
Big Eye Boy = = = = ≠ = = = = ≠ ≠ = ≠ ≠
Small Road = = ≠ ≠ = = = ≠ ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠

Reference 8-deck shoe for Stress Cell S426 (Rev Fibonacci vs Contra D'Alembert, Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. 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.

Small Road Mark #2

Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. 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.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. 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.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Rev Fibonacci vs Contra D'Alembert (No-Comm Chop)

Stress cell S426 compares 1-1-2-3-5-8-13 against +1 on win / -1 on loss over 70 hands.

Head-to-Head Ruin Rate
16.61% vs 8.71%

Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.

Expected Session Hold
2.04u vs 1.62u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.

Peak Drawdown Excursion
-18u vs -11u

Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
7 Ties · 1.26u Drag

Reflects 9.55% tie frequency (7 pushes) and 1.26u in vigorish friction.

STRESS CELL S426 · CHOP SHOE PROFILE

Rev Fibonacci vs. Contra D'Alembert non-stationary ledger (70 Hands · S426)

When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, step-indexed audit S426-1 maps Reverse Fibonacci Press at 2.04u expected erosion (16.61% ruin) compared with 1.62u (8.71% ruin) for Contra D'Alembert Press on 65 units.

Benchmark S426-2 evaluates the non-stationary capital-runway between Rev Fibonacci and Contra D'Alembert over 70 hands of No-Comm Chop: with 65 units, a 50-unit cap, and 1.4579% house edge, ruin settles at 16.61% vs 8.71% while multi-coup distribution reaches -18u.

S426 ledgerRev FibonacciContra D'Alembert
Rev Fibonacci / Contra D'Alembert Rule1-1-2-3-5-8-13+1 on win / -1 on loss
70-Hand Ruin (65u)16.61%8.71%
No-Comm Chop Hold (1.4579%)2.04u1.62u
2-Run Trough (50u Cap)-18u-11u
VIGORISH & TABLE CEILING INTERACTION

No-Comm Chop Vigorish (1.26u) & 9.55% Tie Push Audit (S426)

When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, variance-scaled audit S426-3 charts Reverse Fibonacci Press at 2.04u expected erosion (16.61% ruin) compared with 1.62u (8.71% ruin) for Contra D'Alembert Press on 65 units.

Benchmark S426-4 inspects the combinatorial absorption-curve between Rev Fibonacci and Contra D'Alembert over 70 hands of No-Comm Chop: with 65 units, a 50-unit cap, and 1.4579% house edge, ruin settles at 16.61% vs 8.71% while session-bounded survival-window reaches -18u.

  • Trial S426: set a 65u stop before running Rev Fibonacci vs Contra D'Alembert over 70 hands.
  • Scenario S426 charts 1.26u in commission drag and 7 tie pushes (9.55% Tie rate).
  • Board rule S426: derived road red marks non-stationary column repetition and blue marks a structural break (ledger), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Contra D'Alembert to Rev Fibonacci during Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 70 hands on a 65-unit stack, Rev Fibonacci carries 2.04u expected loss (16.61% ruin) vs 1.62u (8.71% ruin) for Contra D'Alembert.
MythDuring a 2-hand chop sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android