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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC37 (SEED 204637)

Descending Cascade Shoe DSC37: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC37 (seed 204637) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 71 dealt 8-deck hands (35 Banker, 28 Player, 8 Tie). Its 25 logical Big Road columns occupy 25 display columns (C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:3B · C8:2P) and generate 56 Big Eye Boy marks (23R/33B), 51 Small Road marks (20R/31B), and 47 Cockroach Pig marks (34R/13B).

Verified 8-Deck Hands
71 (DSC37)
Outcome Split
35B / 28P / 8T
Peak Streaks
6B · 5P
Big Road Columns
25 Cols
Engine-Verified Scoreboard · 71 Hands

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

DSC37 (seed 204637): 71 hands (35B / 28P / 8T), peak streaks 6B & 5P across 25 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)
DSC37 Big Eye Boy Entry #3

This bead is at Row 4. Column 1 has a bead at Row 4 too → red (=).

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

DSC37 Small Road Entry #3

This bead is at Row 4. Column 1 has a bead at Row 4 too → red (=).

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

DSC37 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

DSC37 8-Deck Hand Distribution
71 Hands (35 Banker / 28 Player / 8 Tie)

Seed 204637 opening column signature: C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:3B · C8:2P.

DSC37 Big Road Span & Max Streaks
Max 6B / Max 5P Across 25 Logical Cols (25 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.

DSC37 Big Eye Boy Rule Breakdown
56 Marks (23R / 33B · 41.1% Red across 33 Display Cols)

Rule 1: 23 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DSC37 Small Road & Cockroach Pig Tally
SR: 20R/31B (39.2% Red) · CP: 34R/13B (72.3% 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.

DSC37 Hand #72 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #71 of DSC37.

DSC37 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC37 Scoreboard Structure: C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:3B · C8:2P

In catalog shoe DSC37 (seed 204637), 71 total hands resolve into 35 Banker wins, 28 Player wins, and 8 Ties across 25 logical columns (C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · 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 DSC37 column by column shows peak runs of 6B and 5P spreading across 25 Big Road display columns: DSC37 records 23 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC37 (Seed 204637)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC37-C01 (H1–H7)6B (BBBBBB) [DSC37]6B/0P (+1T @DSC37-C1)DSC37 Row6 Stop (Col1)NextColVsDSC37-C1: 6v6
DSC37-C02 (H8–H13)5P (PPPPP) [DSC37]6B/5P (+1T @DSC37-C2)DSC37 Row5 Stop (Col2)NextColVsDSC37-C1: 5v6
DSC37-C03 (H14–H18)4B (BBBB) [DSC37]10B/5P (+1T @DSC37-C3)DSC37 Row4 Stop (Col3)NextColVsDSC37-C2: 4v5
DSC37-C04 (H19–H21)3P (PPP) [DSC37]10B/8P (+0T @DSC37-C4)DSC37 Row3 Stop (Col4)NextColVsDSC37-C3: 3v4
DSC37-C05 (H22–H23)2B (BB) [DSC37]12B/8P (+0T @DSC37-C5)DSC37 Row2 Stop (Col5)NextColVsDSC37-C4: 2v3
DSC37-C06 (H24–H24)1P (P) [DSC37]12B/9P (+0T @DSC37-C6)DSC37 Row1 Stop (Col6)NextColVsDSC37-C5: 1v2
DSC37-C07 (H25–H28)3B (BBB) [DSC37]15B/9P (+1T @DSC37-C7)DSC37 Row3 Stop (Col7)NextColVsDSC37-C6: 3v1
DSC37-C08 (H29–H30)2P (PP) [DSC37]15B/11P (+0T @DSC37-C8)DSC37 Row2 Stop (Col8)NextColVsDSC37-C7: 2v3
DSC37-C09 (H31–H35)4B (BBBB) [DSC37]19B/11P (+1T @DSC37-C9)DSC37 Row4 Stop (Col9)NextColVsDSC37-C8: 4v2
DSC37-C10 (H36–H36)1P (P) [DSC37]19B/12P (+0T @DSC37-C10)DSC37 Row1 Stop (Col10)NextColVsDSC37-C9: 1v4
  • DSC37 BEB #3 (RED): verified at DSC37 lookback-1 index 2 (23R/33B total).
  • DSC37 SR #3 (RED): verified at DSC37 lookback-2 index 2 (20R/31B total).
  • DSC37 CP #1 (RED): verified at DSC37 lookback-3 index 0 (34R/13B total).
DSC37 DERIVED-ROAD & CUT-CARD PROBE

DSC37 Lookback Split (23R/33B BEB · 20R/31B SR · 34R/13B 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 DSC37, Big Eye Boy prints 23 Red (41.1%) and 33 Blue marks, Small Road prints 20 Red (39.2%) and 31 Blue marks, and Cockroach Pig prints 34 Red (72.3%) and 13 Blue marks.

At the DSC37 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DSC37.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC37 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC37, 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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