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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC23 (SEED 204623)

Descending Cascade Shoe DSC23: 73-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC23 (seed 204623) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 73 dealt 8-deck hands (37 Banker, 32 Player, 4 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:1B · C2:1P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:1P) and generate 67 Big Eye Boy marks (25R/42B), 66 Small Road marks (26R/40B), and 61 Cockroach Pig marks (40R/21B).

Verified 8-Deck Hands
73 (DSC23)
Outcome Split
37B / 32P / 4T
Peak Streaks
5B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 73 Hands

Read the Board at Table Speed

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

DSC23 (seed 204623): 73 hands (37B / 32P / 4T), 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)
DSC23 Big Eye Boy Entry #7

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

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

DSC23 Small Road Entry #4

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

  1. Column 3 goes down to Row 5, so use Rule 2: look 2 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.

DSC23 Cockroach Pig Entry #3

This bead is at Row 4. Column 1 stopped at Row 1, more than one row above → red (=).

  1. Column 4 goes down to Row 4, 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

DSC23 8-Deck Hand Distribution
73 Hands (37 Banker / 32 Player / 4 Tie)

Seed 204623 opening column signature: C1:1B · C2:1P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:1P.

DSC23 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.

DSC23 Big Eye Boy Rule Breakdown
67 Marks (25R / 42B · 37.3% Red across 39 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

DSC23 Small Road & Cockroach Pig Tally
SR: 26R/40B (39.4% Red) · CP: 40R/21B (65.6% 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.

DSC23 Hand #74 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #73 of DSC23.

DSC23 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC23 Scoreboard Structure: C1:1B · C2:1P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:1P

In catalog shoe DSC23 (seed 204623), 73 total hands resolve into 37 Banker wins, 32 Player wins, and 4 Ties across 31 logical columns (C1:1B · C2:1P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · 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 DSC23 column by column shows peak runs of 5B and 4P spreading across 31 Big Road display columns: DSC23 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 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC23 (Seed 204623)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC23-C01 (H1–H1)1B (B) [DSC23]1B/0P (+0T @DSC23-C1)DSC23 Row1 Stop (Col1)NextColVsDSC23-C1: 1v1
DSC23-C02 (H2–H2)1P (P) [DSC23]1B/1P (+0T @DSC23-C2)DSC23 Row1 Stop (Col2)NextColVsDSC23-C1: 1v1
DSC23-C03 (H3–H7)5B (BBBBB) [DSC23]6B/1P (+0T @DSC23-C3)DSC23 Row5 Stop (Col3)NextColVsDSC23-C2: 5v1
DSC23-C04 (H8–H12)4P (PPPP) [DSC23]6B/5P (+1T @DSC23-C4)DSC23 Row4 Stop (Col4)NextColVsDSC23-C3: 4v5
DSC23-C05 (H13–H15)3B (BBB) [DSC23]9B/5P (+0T @DSC23-C5)DSC23 Row3 Stop (Col5)NextColVsDSC23-C4: 3v4
DSC23-C06 (H16–H17)2P (PP) [DSC23]9B/7P (+0T @DSC23-C6)DSC23 Row2 Stop (Col6)NextColVsDSC23-C5: 2v3
DSC23-C07 (H18–H18)1B (B) [DSC23]10B/7P (+0T @DSC23-C7)DSC23 Row1 Stop (Col7)NextColVsDSC23-C6: 1v2
DSC23-C08 (H19–H19)1P (P) [DSC23]10B/8P (+0T @DSC23-C8)DSC23 Row1 Stop (Col8)NextColVsDSC23-C7: 1v1
DSC23-C09 (H20–H21)2B (BB) [DSC23]12B/8P (+0T @DSC23-C9)DSC23 Row2 Stop (Col9)NextColVsDSC23-C8: 2v1
DSC23-C10 (H22–H25)3P (PPP) [DSC23]12B/11P (+1T @DSC23-C10)DSC23 Row3 Stop (Col10)NextColVsDSC23-C9: 3v2
  • DSC23 BEB #7 (RED): verified at DSC23 lookback-1 index 6 (25R/42B total).
  • DSC23 SR #4 (RED): verified at DSC23 lookback-2 index 3 (26R/40B total).
  • DSC23 CP #3 (RED): verified at DSC23 lookback-3 index 2 (40R/21B total).
DSC23 DERIVED-ROAD & CUT-CARD PROBE

DSC23 Lookback Split (25R/42B BEB · 26R/40B SR · 40R/21B 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 DSC23, Big Eye Boy prints 25 Red (37.3%) and 42 Blue marks, Small Road prints 26 Red (39.4%) and 40 Blue marks, and Cockroach Pig prints 40 Red (65.6%) and 21 Blue marks.

At the DSC23 cut card after Hand #73, probing Hand #74 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for DSC23.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC23 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC23, 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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