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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC09 (SEED 204609)

Descending Cascade Shoe DSC09: 75-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC09 (seed 204609) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 75 dealt 8-deck hands (34 Banker, 36 Player, 5 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:1P · C7:3B · C8:2P) and generate 64 Big Eye Boy marks (23R/41B), 60 Small Road marks (20R/40B), and 57 Cockroach Pig marks (38R/19B).

Verified 8-Deck Hands
75 (DSC09)
Outcome Split
34B / 36P / 5T
Peak Streaks
5B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 75 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 B B P P B P P P B B P P P B P P B B B 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 P B
Big Eye Boy = = = ≠ = = ≠ = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠
Small Road = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠
Cockroach Pig = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = = ≠ = = ≠ ≠ = =

DSC09 (seed 204609): 75 hands (34B / 36P / 5T), peak streaks 5B & 4P across 31 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)
DSC09 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.

DSC09 Small Road Entry #5

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

DSC09 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

DSC09 8-Deck Hand Distribution
75 Hands (34 Banker / 36 Player / 5 Tie)

Seed 204609 opening column signature: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:1P · C7:3B · C8:2P.

DSC09 Big Road Span & Max Streaks
Max 5B / Max 4P Across 31 Logical Cols (31 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.

DSC09 Big Eye Boy Rule Breakdown
64 Marks (23R / 41B · 35.9% Red across 40 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

DSC09 Small Road & Cockroach Pig Tally
SR: 20R/40B (33.3% Red) · CP: 38R/19B (66.7% 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.

DSC09 Hand #76 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #75 of DSC09.

DSC09 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC09 Scoreboard Structure: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:1P · C7:3B · C8:2P

In catalog shoe DSC09 (seed 204609), 75 total hands resolve into 34 Banker wins, 36 Player wins, and 5 Ties across 31 logical columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:1P · C7:3B · 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 DSC09 column by column shows peak runs of 5B and 4P spreading across 31 Big Road display columns: DSC09 records 29 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 DSC09 (Seed 204609)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC09-C01 (H1–H5)5B (BBBBB) [DSC09]5B/0P (+0T @DSC09-C1)DSC09 Row5 Stop (Col1)NextColVsDSC09-C1: 5v5
DSC09-C02 (H6–H10)4P (PPPP) [DSC09]5B/4P (+1T @DSC09-C2)DSC09 Row4 Stop (Col2)NextColVsDSC09-C1: 4v5
DSC09-C03 (H11–H13)3B (BBB) [DSC09]8B/4P (+0T @DSC09-C3)DSC09 Row3 Stop (Col3)NextColVsDSC09-C2: 3v4
DSC09-C04 (H14–H15)2P (PP) [DSC09]8B/6P (+0T @DSC09-C4)DSC09 Row2 Stop (Col4)NextColVsDSC09-C3: 2v3
DSC09-C05 (H16–H16)1B (B) [DSC09]9B/6P (+0T @DSC09-C5)DSC09 Row1 Stop (Col5)NextColVsDSC09-C4: 1v2
DSC09-C06 (H17–H17)1P (P) [DSC09]9B/7P (+0T @DSC09-C6)DSC09 Row1 Stop (Col6)NextColVsDSC09-C5: 1v1
DSC09-C07 (H18–H21)3B (BBB) [DSC09]12B/7P (+1T @DSC09-C7)DSC09 Row3 Stop (Col7)NextColVsDSC09-C6: 3v1
DSC09-C08 (H22–H23)2P (PP) [DSC09]12B/9P (+0T @DSC09-C8)DSC09 Row2 Stop (Col8)NextColVsDSC09-C7: 2v3
DSC09-C09 (H24–H24)1B (B) [DSC09]13B/9P (+0T @DSC09-C9)DSC09 Row1 Stop (Col9)NextColVsDSC09-C8: 1v2
DSC09-C10 (H25–H27)3P (PPP) [DSC09]13B/12P (+0T @DSC09-C10)DSC09 Row3 Stop (Col10)NextColVsDSC09-C9: 3v1
  • DSC09 BEB #5 (RED): verified at DSC09 lookback-1 index 4 (23R/41B total).
  • DSC09 SR #5 (BLUE): verified at DSC09 lookback-2 index 4 (20R/40B total).
  • DSC09 CP #1 (RED): verified at DSC09 lookback-3 index 0 (38R/19B total).
DSC09 DERIVED-ROAD & CUT-CARD PROBE

DSC09 Lookback Split (23R/41B BEB · 20R/40B SR · 38R/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 DSC09, Big Eye Boy prints 23 Red (35.9%) and 41 Blue marks, Small Road prints 20 Red (33.3%) and 40 Blue marks, and Cockroach Pig prints 38 Red (66.7%) and 19 Blue marks.

At the DSC09 cut card after Hand #75, probing Hand #76 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DSC09.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC09 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC09, 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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