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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC33 (SEED 204633)

Descending Cascade Shoe DSC33: 69-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC33 (seed 204633) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 69 dealt 8-deck hands (33 Banker, 32 Player, 4 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:2P · C7:3B · C8:1P) and generate 59 Big Eye Boy marks (18R/41B), 55 Small Road marks (21R/34B), and 52 Cockroach Pig marks (38R/14B).

Verified 8-Deck Hands
69 (DSC33)
Outcome Split
33B / 32P / 4T
Peak Streaks
5B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 69 Hands

Read the Board at Table Speed

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

DSC33 (seed 204633): 69 hands (33B / 32P / 4T), peak streaks 5B & 4P across 29 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)
DSC33 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.

DSC33 Small Road Entry #4

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

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

DSC33 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DSC33 8-Deck Hand Distribution
69 Hands (33 Banker / 32 Player / 4 Tie)

Seed 204633 opening column signature: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:2P · C7:3B · C8:1P.

DSC33 Big Road Span & Max Streaks
Max 5B / Max 4P Across 29 Logical Cols (29 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.

DSC33 Big Eye Boy Rule Breakdown
59 Marks (18R / 41B · 30.5% Red across 30 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

DSC33 Small Road & Cockroach Pig Tally
SR: 21R/34B (38.2% Red) · CP: 38R/14B (73.1% 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.

DSC33 Hand #70 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #69 of DSC33.

DSC33 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC33 Scoreboard Structure: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:2P · C7:3B · C8:1P

In catalog shoe DSC33 (seed 204633), 69 total hands resolve into 33 Banker wins, 32 Player wins, and 4 Ties across 29 logical columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:2P · C7:3B · C8:1P). 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 DSC33 column by column shows peak runs of 5B and 4P spreading across 29 Big Road display columns: DSC33 records 27 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 DSC33 (Seed 204633)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC33-C01 (H1–H5)5B (BBBBB) [DSC33]5B/0P (+0T @DSC33-C1)DSC33 Row5 Stop (Col1)NextColVsDSC33-C1: 5v5
DSC33-C02 (H6–H10)4P (PPPP) [DSC33]5B/4P (+1T @DSC33-C2)DSC33 Row4 Stop (Col2)NextColVsDSC33-C1: 4v5
DSC33-C03 (H11–H13)3B (BBB) [DSC33]8B/4P (+0T @DSC33-C3)DSC33 Row3 Stop (Col3)NextColVsDSC33-C2: 3v4
DSC33-C04 (H14–H15)2P (PP) [DSC33]8B/6P (+0T @DSC33-C4)DSC33 Row2 Stop (Col4)NextColVsDSC33-C3: 2v3
DSC33-C05 (H16–H16)1B (B) [DSC33]9B/6P (+0T @DSC33-C5)DSC33 Row1 Stop (Col5)NextColVsDSC33-C4: 1v2
DSC33-C06 (H17–H18)2P (PP) [DSC33]9B/8P (+0T @DSC33-C6)DSC33 Row2 Stop (Col6)NextColVsDSC33-C5: 2v1
DSC33-C07 (H19–H22)3B (BBB) [DSC33]12B/8P (+1T @DSC33-C7)DSC33 Row3 Stop (Col7)NextColVsDSC33-C6: 3v2
DSC33-C08 (H23–H23)1P (P) [DSC33]12B/9P (+0T @DSC33-C8)DSC33 Row1 Stop (Col8)NextColVsDSC33-C7: 1v3
DSC33-C09 (H24–H25)2B (BB) [DSC33]14B/9P (+0T @DSC33-C9)DSC33 Row2 Stop (Col9)NextColVsDSC33-C8: 2v1
DSC33-C10 (H26–H28)3P (PPP) [DSC33]14B/12P (+0T @DSC33-C10)DSC33 Row3 Stop (Col10)NextColVsDSC33-C9: 3v2
  • DSC33 BEB #5 (RED): verified at DSC33 lookback-1 index 4 (18R/41B total).
  • DSC33 SR #4 (RED): verified at DSC33 lookback-2 index 3 (21R/34B total).
  • DSC33 CP #1 (RED): verified at DSC33 lookback-3 index 0 (38R/14B total).
DSC33 DERIVED-ROAD & CUT-CARD PROBE

DSC33 Lookback Split (18R/41B BEB · 21R/34B SR · 38R/14B 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 DSC33, Big Eye Boy prints 18 Red (30.5%) and 41 Blue marks, Small Road prints 21 Red (38.2%) and 34 Blue marks, and Cockroach Pig prints 38 Red (73.1%) and 14 Blue marks.

At the DSC33 cut card after Hand #69, probing Hand #70 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DSC33.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC33 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC33, 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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