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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC18 (SEED 204618)

Descending Cascade Shoe DSC18: 66-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC18 (seed 204618) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 66 dealt 8-deck hands (32 Banker, 30 Player, 4 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:2P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:2P · C8:3B) and generate 59 Big Eye Boy marks (21R/38B), 54 Small Road marks (21R/33B), and 50 Cockroach Pig marks (34R/16B).

Verified 8-Deck Hands
66 (DSC18)
Outcome Split
32B / 30P / 4T
Peak Streaks
5B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 66 Hands

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

DSC18 (seed 204618): 66 hands (32B / 30P / 4T), peak streaks 5B & 4P across 27 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)
DSC18 Big Eye Boy Entry #8

This bead is at Row 4. Column 2 has a bead at Row 4 too → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 4 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.

DSC18 Small Road Entry #4

Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

DSC18 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

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

Verified Reference Data

Key Facts & Table Specifications

DSC18 8-Deck Hand Distribution
66 Hands (32 Banker / 30 Player / 4 Tie)

Seed 204618 opening column signature: C1:2P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:2P · C8:3B.

DSC18 Big Road Span & Max Streaks
Max 5B / Max 4P Across 27 Logical Cols (27 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.

DSC18 Big Eye Boy Rule Breakdown
59 Marks (21R / 38B · 35.6% Red across 33 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

DSC18 Small Road & Cockroach Pig Tally
SR: 21R/33B (38.9% Red) · CP: 34R/16B (68.0% 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.

DSC18 Hand #67 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #66 of DSC18.

DSC18 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC18 Scoreboard Structure: C1:2P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:2P · C8:3B

In catalog shoe DSC18 (seed 204618), 66 total hands resolve into 32 Banker wins, 30 Player wins, and 4 Ties across 27 logical columns (C1:2P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:2P · C8:3B). 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 DSC18 column by column shows peak runs of 5B and 4P spreading across 27 Big Road display columns: DSC18 records 25 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 34 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC18 (Seed 204618)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC18-C01 (H1–H2)2P (PP) [DSC18]0B/2P (+0T @DSC18-C1)DSC18 Row2 Stop (Col1)NextColVsDSC18-C1: 2v2
DSC18-C02 (H3–H8)5B (BBBBB) [DSC18]5B/2P (+1T @DSC18-C2)DSC18 Row5 Stop (Col2)NextColVsDSC18-C1: 5v2
DSC18-C03 (H9–H12)4P (PPPP) [DSC18]5B/6P (+0T @DSC18-C3)DSC18 Row4 Stop (Col3)NextColVsDSC18-C2: 4v5
DSC18-C04 (H13–H15)3B (BBB) [DSC18]8B/6P (+0T @DSC18-C4)DSC18 Row3 Stop (Col4)NextColVsDSC18-C3: 3v4
DSC18-C05 (H16–H17)2P (PP) [DSC18]8B/8P (+0T @DSC18-C5)DSC18 Row2 Stop (Col5)NextColVsDSC18-C4: 2v3
DSC18-C06 (H18–H19)1B (B) [DSC18]9B/8P (+1T @DSC18-C6)DSC18 Row1 Stop (Col6)NextColVsDSC18-C5: 1v2
DSC18-C07 (H20–H21)2P (PP) [DSC18]9B/10P (+0T @DSC18-C7)DSC18 Row2 Stop (Col7)NextColVsDSC18-C6: 2v1
DSC18-C08 (H22–H24)3B (BBB) [DSC18]12B/10P (+0T @DSC18-C8)DSC18 Row3 Stop (Col8)NextColVsDSC18-C7: 3v2
DSC18-C09 (H25–H25)1P (P) [DSC18]12B/11P (+0T @DSC18-C9)DSC18 Row1 Stop (Col9)NextColVsDSC18-C8: 1v3
DSC18-C10 (H26–H27)2B (BB) [DSC18]14B/11P (+0T @DSC18-C10)DSC18 Row2 Stop (Col10)NextColVsDSC18-C9: 2v1
  • DSC18 BEB #8 (RED): verified at DSC18 lookback-1 index 7 (21R/38B total).
  • DSC18 SR #4 (BLUE): verified at DSC18 lookback-2 index 3 (21R/33B total).
  • DSC18 CP #2 (BLUE): verified at DSC18 lookback-3 index 1 (34R/16B total).
DSC18 DERIVED-ROAD & CUT-CARD PROBE

DSC18 Lookback Split (21R/38B BEB · 21R/33B SR · 34R/16B 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 DSC18, Big Eye Boy prints 21 Red (35.6%) and 38 Blue marks, Small Road prints 21 Red (38.9%) and 33 Blue marks, and Cockroach Pig prints 34 Red (68.0%) and 16 Blue marks.

At the DSC18 cut card after Hand #66, probing Hand #67 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DSC18.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC18 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC18, 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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