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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC36 (SEED 204636)

Descending Cascade Shoe DSC36: 66-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC36 (seed 204636) 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 (30 Banker, 29 Player, 7 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B) and generate 57 Big Eye Boy marks (23R/34B), 56 Small Road marks (22R/34B), and 55 Cockroach Pig marks (38R/17B).

Verified 8-Deck Hands
66 (DSC36)
Outcome Split
30B / 29P / 7T
Peak Streaks
5B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 66 Hands

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

DSC36 (seed 204636): 66 hands (30B / 29P / 7T), 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)
DSC36 Big Eye Boy Entry #8

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

DSC36 Small Road Entry #2

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

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.

DSC36 Cockroach Pig Entry #4

This bead is at Row 5. Column 1 stopped at Row 1, 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 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DSC36 8-Deck Hand Distribution
66 Hands (30 Banker / 29 Player / 7 Tie)

Seed 204636 opening column signature: C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B.

DSC36 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.

DSC36 Big Eye Boy Rule Breakdown
57 Marks (23R / 34B · 40.4% Red across 34 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

DSC36 Small Road & Cockroach Pig Tally
SR: 22R/34B (39.3% Red) · CP: 38R/17B (69.1% 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.

DSC36 Hand #67 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #66 of DSC36.

DSC36 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC36 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B

In catalog shoe DSC36 (seed 204636), 66 total hands resolve into 30 Banker wins, 29 Player wins, and 7 Ties across 27 logical columns (C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B). 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 DSC36 column by column shows peak runs of 5B and 4P spreading across 27 Big Road display columns: DSC36 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 32 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC36 (Seed 204636)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC36-C01 (H1–H1)1P (P) [DSC36]0B/1P (+0T @DSC36-C1)DSC36 Row1 Stop (Col1)NextColVsDSC36-C1: 1v1
DSC36-C02 (H2–H2)1B (B) [DSC36]1B/1P (+0T @DSC36-C2)DSC36 Row1 Stop (Col2)NextColVsDSC36-C1: 1v1
DSC36-C03 (H3–H3)1P (P) [DSC36]1B/2P (+0T @DSC36-C3)DSC36 Row1 Stop (Col3)NextColVsDSC36-C2: 1v1
DSC36-C04 (H4–H9)5B (BBBBB) [DSC36]6B/2P (+1T @DSC36-C4)DSC36 Row5 Stop (Col4)NextColVsDSC36-C3: 5v1
DSC36-C05 (H10–H13)4P (PPPP) [DSC36]6B/6P (+0T @DSC36-C5)DSC36 Row4 Stop (Col5)NextColVsDSC36-C4: 4v5
DSC36-C06 (H14–H17)3B (BBB) [DSC36]9B/6P (+1T @DSC36-C6)DSC36 Row3 Stop (Col6)NextColVsDSC36-C5: 3v4
DSC36-C07 (H18–H19)2P (PP) [DSC36]9B/8P (+0T @DSC36-C7)DSC36 Row2 Stop (Col7)NextColVsDSC36-C6: 2v3
DSC36-C08 (H20–H20)1B (B) [DSC36]10B/8P (+0T @DSC36-C8)DSC36 Row1 Stop (Col8)NextColVsDSC36-C7: 1v2
DSC36-C09 (H21–H24)3P (PPP) [DSC36]10B/11P (+1T @DSC36-C9)DSC36 Row3 Stop (Col9)NextColVsDSC36-C8: 3v1
DSC36-C10 (H25–H26)2B (BB) [DSC36]12B/11P (+0T @DSC36-C10)DSC36 Row2 Stop (Col10)NextColVsDSC36-C9: 2v3
  • DSC36 BEB #8 (RED): verified at DSC36 lookback-1 index 7 (23R/34B total).
  • DSC36 SR #2 (BLUE): verified at DSC36 lookback-2 index 1 (22R/34B total).
  • DSC36 CP #4 (RED): verified at DSC36 lookback-3 index 3 (38R/17B total).
DSC36 DERIVED-ROAD & CUT-CARD PROBE

DSC36 Lookback Split (23R/34B BEB · 22R/34B SR · 38R/17B 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 DSC36, Big Eye Boy prints 23 Red (40.4%) and 34 Blue marks, Small Road prints 22 Red (39.3%) and 34 Blue marks, and Cockroach Pig prints 38 Red (69.1%) and 17 Blue marks.

At the DSC36 cut card after Hand #66, probing Hand #67 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DSC36.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC36 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC36, 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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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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