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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC20 (SEED 204620)

Descending Cascade Shoe DSC20: 76-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC20 (seed 204620) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 76 dealt 8-deck hands (38 Banker, 32 Player, 6 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B) and generate 68 Big Eye Boy marks (27R/41B), 67 Small Road marks (25R/42B), and 66 Cockroach Pig marks (46R/20B).

Verified 8-Deck Hands
76 (DSC20)
Outcome Split
38B / 32P / 6T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 76 Hands

Read the Board at Table Speed

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

DSC20 (seed 204620): 76 hands (38B / 32P / 6T), 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)
DSC20 Big Eye Boy Entry #4

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

  1. Column 4 goes down to Row 3, 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.

DSC20 Small Road Entry #6

Column 4 has 5 beads. Column 2 has 1 bead. 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 5 beads. Column 2 has 1 bead. Different depth → blue (≠).

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

DSC20 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

DSC20 8-Deck Hand Distribution
76 Hands (38 Banker / 32 Player / 6 Tie)

Seed 204620 opening column signature: C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B.

DSC20 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.

DSC20 Big Eye Boy Rule Breakdown
68 Marks (27R / 41B · 39.7% Red across 42 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

DSC20 Small Road & Cockroach Pig Tally
SR: 25R/42B (37.3% Red) · CP: 46R/20B (69.7% 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.

DSC20 Hand #77 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #76 of DSC20.

DSC20 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC20 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B

In catalog shoe DSC20 (seed 204620), 76 total hands resolve into 38 Banker wins, 32 Player wins, and 6 Ties across 32 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 DSC20 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: DSC20 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 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC20 (Seed 204620)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC20-C01 (H1–H1)1P (P) [DSC20]0B/1P (+0T @DSC20-C1)DSC20 Row1 Stop (Col1)NextColVsDSC20-C1: 1v1
DSC20-C02 (H2–H2)1B (B) [DSC20]1B/1P (+0T @DSC20-C2)DSC20 Row1 Stop (Col2)NextColVsDSC20-C1: 1v1
DSC20-C03 (H3–H3)1P (P) [DSC20]1B/2P (+0T @DSC20-C3)DSC20 Row1 Stop (Col3)NextColVsDSC20-C2: 1v1
DSC20-C04 (H4–H8)5B (BBBBB) [DSC20]6B/2P (+0T @DSC20-C4)DSC20 Row5 Stop (Col4)NextColVsDSC20-C3: 5v1
DSC20-C05 (H9–H13)4P (PPPP) [DSC20]6B/6P (+1T @DSC20-C5)DSC20 Row4 Stop (Col5)NextColVsDSC20-C4: 4v5
DSC20-C06 (H14–H16)3B (BBB) [DSC20]9B/6P (+0T @DSC20-C6)DSC20 Row3 Stop (Col6)NextColVsDSC20-C5: 3v4
DSC20-C07 (H17–H18)2P (PP) [DSC20]9B/8P (+0T @DSC20-C7)DSC20 Row2 Stop (Col7)NextColVsDSC20-C6: 2v3
DSC20-C08 (H19–H19)1B (B) [DSC20]10B/8P (+0T @DSC20-C8)DSC20 Row1 Stop (Col8)NextColVsDSC20-C7: 1v2
DSC20-C09 (H20–H23)3P (PPP) [DSC20]10B/11P (+1T @DSC20-C9)DSC20 Row3 Stop (Col9)NextColVsDSC20-C8: 3v1
DSC20-C10 (H24–H25)2B (BB) [DSC20]12B/11P (+0T @DSC20-C10)DSC20 Row2 Stop (Col10)NextColVsDSC20-C9: 2v3
  • DSC20 BEB #4 (RED): verified at DSC20 lookback-1 index 3 (27R/41B total).
  • DSC20 SR #6 (BLUE): verified at DSC20 lookback-2 index 5 (25R/42B total).
  • DSC20 CP #4 (RED): verified at DSC20 lookback-3 index 3 (46R/20B total).
DSC20 DERIVED-ROAD & CUT-CARD PROBE

DSC20 Lookback Split (27R/41B BEB · 25R/42B SR · 46R/20B 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 DSC20, Big Eye Boy prints 27 Red (39.7%) and 41 Blue marks, Small Road prints 25 Red (37.3%) and 42 Blue marks, and Cockroach Pig prints 46 Red (69.7%) and 20 Blue marks.

At the DSC20 cut card after Hand #76, probing Hand #77 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DSC20.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC20 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC20, 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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