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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC40 (SEED 204640)

Descending Cascade Shoe DSC40: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC40 (seed 204640) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 68 dealt 8-deck hands (32 Banker, 30 Player, 6 Tie). Its 25 logical Big Road columns occupy 25 display columns (C1:3P · C2:3B · C3:1P · C4:6B · C5:5P · C6:4B · C7:3P · C8:2B) and generate 58 Big Eye Boy marks (28R/30B), 55 Small Road marks (23R/32B), and 54 Cockroach Pig marks (35R/19B).

Verified 8-Deck Hands
68 (DSC40)
Outcome Split
32B / 30P / 6T
Peak Streaks
6B · 5P
Big Road Columns
25 Cols
Engine-Verified Scoreboard · 68 Hands

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Big Road P P P B B B B B B B B B P P P P B B B B P P B B P B P B B B B P B B P P B P P P B P P P P B P P B B B P B B P P
Big Eye Boy = = = ≠ ≠ = = = = ≠ = = = = ≠ = = = ≠ = = ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ =
Small Road ≠ = = ≠ = = ≠ ≠ = = = ≠ = = = ≠ = = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = = ≠ = ≠ ≠ = = ≠ = = ≠ = ≠ ≠ ≠ = = ≠ = = ≠ = = ≠ ≠ = ≠ = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = =

DSC40 (seed 204640): 68 hands (32B / 30P / 6T), peak streaks 6B & 5P across 25 logical columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
DSC40 Big Eye Boy Entry #6

This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 stopped at Row 1, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

DSC40 Small Road Entry #6

This bead is at Row 6. Column 2 stopped at Row 3, more than one row above → red (=).

  1. Column 4 goes down to Row 6, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 3, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

DSC40 Cockroach Pig Entry #4

This bead is at Row 5. Column 1 stopped at Row 3, more than one row above → red (=).

  1. Column 4 goes down to Row 5, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 3, more than one row above → red (=).

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.

Verified Reference Data

Key Facts & Table Specifications

DSC40 8-Deck Hand Distribution
68 Hands (32 Banker / 30 Player / 6 Tie)

Seed 204640 opening column signature: C1:3P · C2:3B · C3:1P · C4:6B · C5:5P · C6:4B · C7:3P · C8:2B.

DSC40 Big Road Span & Max Streaks
Max 6B / Max 5P Across 25 Logical Cols (25 Display Cols)

When columns shrink by one bead each time, every downward step (Row 2 and below) sits beside an existing bead in the taller reference column to the left.

DSC40 Big Eye Boy Rule Breakdown
58 Marks (28R / 30B · 48.3% Red across 33 Display Cols)

Rule 1: 23 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

DSC40 Small Road & Cockroach Pig Tally
SR: 23R/32B (41.8% Red) · CP: 35R/19B (64.8% Red)

Throughout the 5-4-3-2-1 cascade, 100% of Rule 2 marks are Red (=) under Case 1, whereas every Rule 1 mark at Row 1 of a new column is Blue (≠) due to unequal finished depths.

DSC40 Hand #69 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #68 of DSC40.

DSC40 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC40 Scoreboard Structure: C1:3P · C2:3B · C3:1P · C4:6B · C5:5P · C6:4B · C7:3P · C8:2B

In catalog shoe DSC40 (seed 204640), 68 total hands resolve into 32 Banker wins, 30 Player wins, and 6 Ties across 25 logical columns (C1:3P · C2:3B · C3:1P · C4:6B · C5:5P · C6:4B · C7:3P · C8:2B). When columns shrink by one bead each time, every downward step (Row 2 and below) sits beside an existing bead in the taller reference column to the left.

Tracking DSC40 column by column shows peak runs of 6B and 5P spreading across 25 Big Road display columns: DSC40 records 23 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC40 (Seed 204640)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC40-C01 (H1–H3)3P (PPP) [DSC40]0B/3P (+0T @DSC40-C1)DSC40 Row3 Stop (Col1)NextColVsDSC40-C1: 3v3
DSC40-C02 (H4–H6)3B (BBB) [DSC40]3B/3P (+0T @DSC40-C2)DSC40 Row3 Stop (Col2)NextColVsDSC40-C1: 3v3
DSC40-C03 (H7–H8)1P (P) [DSC40]3B/4P (+1T @DSC40-C3)DSC40 Row1 Stop (Col3)NextColVsDSC40-C2: 1v3
DSC40-C04 (H9–H14)6B (BBBBBB) [DSC40]9B/4P (+0T @DSC40-C4)DSC40 Row6 Stop (Col4)NextColVsDSC40-C3: 6v1
DSC40-C05 (H15–H20)5P (PPPPP) [DSC40]9B/9P (+1T @DSC40-C5)DSC40 Row5 Stop (Col5)NextColVsDSC40-C4: 5v6
DSC40-C06 (H21–H24)4B (BBBB) [DSC40]13B/9P (+0T @DSC40-C6)DSC40 Row4 Stop (Col6)NextColVsDSC40-C5: 4v5
DSC40-C07 (H25–H28)3P (PPP) [DSC40]13B/12P (+1T @DSC40-C7)DSC40 Row3 Stop (Col7)NextColVsDSC40-C6: 3v4
DSC40-C08 (H29–H30)2B (BB) [DSC40]15B/12P (+0T @DSC40-C8)DSC40 Row2 Stop (Col8)NextColVsDSC40-C7: 2v3
DSC40-C09 (H31–H31)1P (P) [DSC40]15B/13P (+0T @DSC40-C9)DSC40 Row1 Stop (Col9)NextColVsDSC40-C8: 1v2
DSC40-C10 (H32–H32)1B (B) [DSC40]16B/13P (+0T @DSC40-C10)DSC40 Row1 Stop (Col10)NextColVsDSC40-C9: 1v1
  • DSC40 BEB #6 (RED): verified at DSC40 lookback-1 index 5 (28R/30B total).
  • DSC40 SR #6 (RED): verified at DSC40 lookback-2 index 5 (23R/32B total).
  • DSC40 CP #4 (RED): verified at DSC40 lookback-3 index 3 (35R/19B total).
DSC40 DERIVED-ROAD & CUT-CARD PROBE

DSC40 Lookback Split (28R/30B BEB · 23R/32B SR · 35R/19B CP)

Throughout the 5-4-3-2-1 cascade, 100% of Rule 2 marks are Red (=) under Case 1, whereas every Rule 1 mark at Row 1 of a new column is Blue (≠) due to unequal finished depths. Across DSC40, Big Eye Boy prints 28 Red (48.3%) and 30 Blue marks, Small Road prints 23 Red (41.8%) and 32 Blue marks, and Cockroach Pig prints 35 Red (64.8%) and 19 Blue marks.

At the DSC40 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DSC40.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC40 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC40, the taller reference column still has a bead at every row visited (Rule 2 Case 1 Red =); only the Row 1 new-column check marks Blue (≠).
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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
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