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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC03 (SEED 204603)

Descending Cascade Shoe DSC03: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC03 (seed 204603) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 81 dealt 8-deck hands (39 Banker, 38 Player, 4 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:3B · C2:4P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P) and generate 73 Big Eye Boy marks (28R/45B), 69 Small Road marks (30R/39B), and 64 Cockroach Pig marks (43R/21B).

Verified 8-Deck Hands
81 (DSC03)
Outcome Split
39B / 38P / 4T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 81 Hands

Read the Board at Table Speed

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

DSC03 (seed 204603): 81 hands (39B / 38P / 4T), peak streaks 5B & 4P across 32 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)
DSC03 Big Eye Boy Entry #5

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → 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.

DSC03 Small Road Entry #4

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

  1. Column 3 goes down to Row 5, so use Rule 2: look 2 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.

DSC03 Cockroach Pig Entry #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

  1. Column 4 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 3, 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.

Verified Reference Data

Key Facts & Table Specifications

DSC03 8-Deck Hand Distribution
81 Hands (39 Banker / 38 Player / 4 Tie)

Seed 204603 opening column signature: C1:3B · C2:4P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P.

DSC03 Big Road Span & Max Streaks
Max 5B / Max 4P Across 32 Logical Cols (32 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.

DSC03 Big Eye Boy Rule Breakdown
73 Marks (28R / 45B · 38.4% Red across 43 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 43.

DSC03 Small Road & Cockroach Pig Tally
SR: 30R/39B (43.5% Red) · CP: 43R/21B (67.2% 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.

DSC03 Hand #82 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #81 of DSC03.

DSC03 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC03 Scoreboard Structure: C1:3B · C2:4P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P

In catalog shoe DSC03 (seed 204603), 81 total hands resolve into 39 Banker wins, 38 Player wins, and 4 Ties across 32 logical columns (C1:3B · C2:4P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P). 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 DSC03 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: DSC03 records 30 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 43 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC03 (Seed 204603)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC03-C01 (H1–H4)3B (BBB) [DSC03]3B/0P (+1T @DSC03-C1)DSC03 Row3 Stop (Col1)NextColVsDSC03-C1: 3v3
DSC03-C02 (H5–H8)4P (PPPP) [DSC03]3B/4P (+0T @DSC03-C2)DSC03 Row4 Stop (Col2)NextColVsDSC03-C1: 4v3
DSC03-C03 (H9–H13)5B (BBBBB) [DSC03]8B/4P (+0T @DSC03-C3)DSC03 Row5 Stop (Col3)NextColVsDSC03-C2: 5v4
DSC03-C04 (H14–H17)4P (PPPP) [DSC03]8B/8P (+0T @DSC03-C4)DSC03 Row4 Stop (Col4)NextColVsDSC03-C3: 4v5
DSC03-C05 (H18–H21)3B (BBB) [DSC03]11B/8P (+1T @DSC03-C5)DSC03 Row3 Stop (Col5)NextColVsDSC03-C4: 3v4
DSC03-C06 (H22–H23)2P (PP) [DSC03]11B/10P (+0T @DSC03-C6)DSC03 Row2 Stop (Col6)NextColVsDSC03-C5: 2v3
DSC03-C07 (H24–H24)1B (B) [DSC03]12B/10P (+0T @DSC03-C7)DSC03 Row1 Stop (Col7)NextColVsDSC03-C6: 1v2
DSC03-C08 (H25–H26)2P (PP) [DSC03]12B/12P (+0T @DSC03-C8)DSC03 Row2 Stop (Col8)NextColVsDSC03-C7: 2v1
DSC03-C09 (H27–H30)4B (BBBB) [DSC03]16B/12P (+0T @DSC03-C9)DSC03 Row4 Stop (Col9)NextColVsDSC03-C8: 4v2
DSC03-C10 (H31–H31)1P (P) [DSC03]16B/13P (+0T @DSC03-C10)DSC03 Row1 Stop (Col10)NextColVsDSC03-C9: 1v4
  • DSC03 BEB #5 (RED): verified at DSC03 lookback-1 index 4 (28R/45B total).
  • DSC03 SR #4 (RED): verified at DSC03 lookback-2 index 3 (30R/39B total).
  • DSC03 CP #3 (BLUE): verified at DSC03 lookback-3 index 2 (43R/21B total).
DSC03 DERIVED-ROAD & CUT-CARD PROBE

DSC03 Lookback Split (28R/45B BEB · 30R/39B SR · 43R/21B 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 DSC03, Big Eye Boy prints 28 Red (38.4%) and 45 Blue marks, Small Road prints 30 Red (43.5%) and 39 Blue marks, and Cockroach Pig prints 43 Red (67.2%) and 21 Blue marks.

At the DSC03 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DSC03.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC03 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC03, 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 (≠).
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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