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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC38 (SEED 204638)

Descending Cascade Shoe DSC38: 76-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC38 (seed 204638) 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 (35 Banker, 37 Player, 4 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:4P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:2B) and generate 67 Big Eye Boy marks (23R/44B), 62 Small Road marks (24R/38B), and 58 Cockroach Pig marks (43R/15B).

Verified 8-Deck Hands
76 (DSC38)
Outcome Split
35B / 37P / 4T
Peak Streaks
5B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 76 Hands

Read the Board at Table Speed

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

DSC38 (seed 204638): 76 hands (35B / 37P / 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)
DSC38 Big Eye Boy Entry #4

This bead is at Row 5. Column 1 stopped at Row 4, one row above → blue (≠).

  1. Column 2 goes down to Row 5, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 4, one row above → blue (≠).

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.

DSC38 Small Road Entry #4

Column 3 has 4 beads. Column 1 has 4 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 4 beads. Column 1 has 4 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

DSC38 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 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

DSC38 8-Deck Hand Distribution
76 Hands (35 Banker / 37 Player / 4 Tie)

Seed 204638 opening column signature: C1:4P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:2B.

DSC38 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.

DSC38 Big Eye Boy Rule Breakdown
67 Marks (23R / 44B · 34.3% Red across 36 Display Cols)

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

DSC38 Small Road & Cockroach Pig Tally
SR: 24R/38B (38.7% Red) · CP: 43R/15B (74.1% 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.

DSC38 Hand #77 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #76 of DSC38.

DSC38 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC38 Scoreboard Structure: C1:4P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:2B

In catalog shoe DSC38 (seed 204638), 76 total hands resolve into 35 Banker wins, 37 Player wins, and 4 Ties across 31 logical columns (C1:4P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:2B). 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 DSC38 column by column shows peak runs of 5B and 4P spreading across 31 Big Road display columns: DSC38 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 DSC38 (Seed 204638)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC38-C01 (H1–H4)4P (PPPP) [DSC38]0B/4P (+0T @DSC38-C1)DSC38 Row4 Stop (Col1)NextColVsDSC38-C1: 4v4
DSC38-C02 (H5–H10)5B (BBBBB) [DSC38]5B/4P (+1T @DSC38-C2)DSC38 Row5 Stop (Col2)NextColVsDSC38-C1: 5v4
DSC38-C03 (H11–H14)4P (PPPP) [DSC38]5B/8P (+0T @DSC38-C3)DSC38 Row4 Stop (Col3)NextColVsDSC38-C2: 4v5
DSC38-C04 (H15–H17)3B (BBB) [DSC38]8B/8P (+0T @DSC38-C4)DSC38 Row3 Stop (Col4)NextColVsDSC38-C3: 3v4
DSC38-C05 (H18–H19)2P (PP) [DSC38]8B/10P (+0T @DSC38-C5)DSC38 Row2 Stop (Col5)NextColVsDSC38-C4: 2v3
DSC38-C06 (H20–H20)1B (B) [DSC38]9B/10P (+0T @DSC38-C6)DSC38 Row1 Stop (Col6)NextColVsDSC38-C5: 1v2
DSC38-C07 (H21–H21)1P (P) [DSC38]9B/11P (+0T @DSC38-C7)DSC38 Row1 Stop (Col7)NextColVsDSC38-C6: 1v1
DSC38-C08 (H22–H23)2B (BB) [DSC38]11B/11P (+0T @DSC38-C8)DSC38 Row2 Stop (Col8)NextColVsDSC38-C7: 2v1
DSC38-C09 (H24–H27)3P (PPP) [DSC38]11B/14P (+1T @DSC38-C9)DSC38 Row3 Stop (Col9)NextColVsDSC38-C8: 3v2
DSC38-C10 (H28–H28)1B (B) [DSC38]12B/14P (+0T @DSC38-C10)DSC38 Row1 Stop (Col10)NextColVsDSC38-C9: 1v3
  • DSC38 BEB #4 (BLUE): verified at DSC38 lookback-1 index 3 (23R/44B total).
  • DSC38 SR #4 (RED): verified at DSC38 lookback-2 index 3 (24R/38B total).
  • DSC38 CP #2 (RED): verified at DSC38 lookback-3 index 1 (43R/15B total).
DSC38 DERIVED-ROAD & CUT-CARD PROBE

DSC38 Lookback Split (23R/44B BEB · 24R/38B SR · 43R/15B 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 DSC38, Big Eye Boy prints 23 Red (34.3%) and 44 Blue marks, Small Road prints 24 Red (38.7%) and 38 Blue marks, and Cockroach Pig prints 43 Red (74.1%) and 15 Blue marks.

At the DSC38 cut card after Hand #76, probing Hand #77 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DSC38.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC38 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC38, 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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