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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC24 (SEED 204624)

Descending Cascade Shoe DSC24: 78-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC24 (seed 204624) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 78 dealt 8-deck hands (37 Banker, 36 Player, 5 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B) and generate 69 Big Eye Boy marks (27R/42B), 66 Small Road marks (25R/41B), and 65 Cockroach Pig marks (42R/23B).

Verified 8-Deck Hands
78 (DSC24)
Outcome Split
37B / 36P / 5T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 78 Hands

Read the Board at Table Speed

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

DSC24 (seed 204624): 78 hands (37B / 36P / 5T), 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)
DSC24 Big Eye Boy Entry #8

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

  1. Column 4 goes down to Row 5, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

DSC24 Small Road Entry #5

This bead is at Row 5. Column 2 stopped at Row 3, more than one row above → red (=).

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

DSC24 Cockroach Pig Entry #4

This bead is at Row 5. Column 1 stopped at Row 3, 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 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.

Verified Reference Data

Key Facts & Table Specifications

DSC24 8-Deck Hand Distribution
78 Hands (37 Banker / 36 Player / 5 Tie)

Seed 204624 opening column signature: C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B.

DSC24 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.

DSC24 Big Eye Boy Rule Breakdown
69 Marks (27R / 42B · 39.1% Red across 40 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

DSC24 Small Road & Cockroach Pig Tally
SR: 25R/41B (37.9% Red) · CP: 42R/23B (64.6% 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.

DSC24 Hand #79 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #78 of DSC24.

DSC24 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC24 Scoreboard Structure: C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B

In catalog shoe DSC24 (seed 204624), 78 total hands resolve into 37 Banker wins, 36 Player wins, and 5 Ties across 32 logical columns (C1:3P · C2:3B · 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 DSC24 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: DSC24 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 39 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC24 (Seed 204624)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC24-C01 (H1–H3)3P (PPP) [DSC24]0B/3P (+0T @DSC24-C1)DSC24 Row3 Stop (Col1)NextColVsDSC24-C1: 3v3
DSC24-C02 (H4–H6)3B (BBB) [DSC24]3B/3P (+0T @DSC24-C2)DSC24 Row3 Stop (Col2)NextColVsDSC24-C1: 3v3
DSC24-C03 (H7–H7)1P (P) [DSC24]3B/4P (+0T @DSC24-C3)DSC24 Row1 Stop (Col3)NextColVsDSC24-C2: 1v3
DSC24-C04 (H8–H13)5B (BBBBB) [DSC24]8B/4P (+1T @DSC24-C4)DSC24 Row5 Stop (Col4)NextColVsDSC24-C3: 5v1
DSC24-C05 (H14–H17)4P (PPPP) [DSC24]8B/8P (+0T @DSC24-C5)DSC24 Row4 Stop (Col5)NextColVsDSC24-C4: 4v5
DSC24-C06 (H18–H20)3B (BBB) [DSC24]11B/8P (+0T @DSC24-C6)DSC24 Row3 Stop (Col6)NextColVsDSC24-C5: 3v4
DSC24-C07 (H21–H22)2P (PP) [DSC24]11B/10P (+0T @DSC24-C7)DSC24 Row2 Stop (Col7)NextColVsDSC24-C6: 2v3
DSC24-C08 (H23–H23)1B (B) [DSC24]12B/10P (+0T @DSC24-C8)DSC24 Row1 Stop (Col8)NextColVsDSC24-C7: 1v2
DSC24-C09 (H24–H25)1P (P) [DSC24]12B/11P (+1T @DSC24-C9)DSC24 Row1 Stop (Col9)NextColVsDSC24-C8: 1v1
DSC24-C10 (H26–H27)2B (BB) [DSC24]14B/11P (+0T @DSC24-C10)DSC24 Row2 Stop (Col10)NextColVsDSC24-C9: 2v1
  • DSC24 BEB #8 (RED): verified at DSC24 lookback-1 index 7 (27R/42B total).
  • DSC24 SR #5 (RED): verified at DSC24 lookback-2 index 4 (25R/41B total).
  • DSC24 CP #4 (RED): verified at DSC24 lookback-3 index 3 (42R/23B total).
DSC24 DERIVED-ROAD & CUT-CARD PROBE

DSC24 Lookback Split (27R/42B BEB · 25R/41B SR · 42R/23B 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 DSC24, Big Eye Boy prints 27 Red (39.1%) and 42 Blue marks, Small Road prints 25 Red (37.9%) and 41 Blue marks, and Cockroach Pig prints 42 Red (64.6%) and 23 Blue marks.

At the DSC24 cut card after Hand #78, probing Hand #79 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DSC24.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC24 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC24, 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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