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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC01 (SEED 204601)

Descending Cascade Shoe DSC01: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC01 (seed 204601) 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 (33 Banker, 31 Player, 7 Tie). Its 26 logical Big Road columns occupy 26 display columns (C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:2B · C8:3P) and generate 57 Big Eye Boy marks (21R/36B), 52 Small Road marks (22R/30B), and 48 Cockroach Pig marks (33R/15B).

Verified 8-Deck Hands
71 (DSC01)
Outcome Split
33B / 31P / 7T
Peak Streaks
6B · 5P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 71 Hands

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

DSC01 (seed 204601): 71 hands (33B / 31P / 7T), peak streaks 6B & 5P across 26 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)
DSC01 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.

DSC01 Small Road Entry #2

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

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

DSC01 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

DSC01 8-Deck Hand Distribution
71 Hands (33 Banker / 31 Player / 7 Tie)

Seed 204601 opening column signature: C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:2B · C8:3P.

DSC01 Big Road Span & Max Streaks
Max 6B / Max 5P Across 26 Logical Cols (26 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.

DSC01 Big Eye Boy Rule Breakdown
57 Marks (21R / 36B · 36.8% Red across 30 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DSC01 Small Road & Cockroach Pig Tally
SR: 22R/30B (42.3% Red) · CP: 33R/15B (68.8% 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.

DSC01 Hand #72 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #71 of DSC01.

DSC01 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC01 Scoreboard Structure: C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:2B · C8:3P

In catalog shoe DSC01 (seed 204601), 71 total hands resolve into 33 Banker wins, 31 Player wins, and 7 Ties across 26 logical columns (C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:2B · C8:3P). 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 DSC01 column by column shows peak runs of 6B and 5P spreading across 26 Big Road display columns: DSC01 records 24 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 DSC01 (Seed 204601)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC01-C01 (H1–H6)6B (BBBBBB) [DSC01]6B/0P (+0T @DSC01-C1)DSC01 Row6 Stop (Col1)NextColVsDSC01-C1: 6v6
DSC01-C02 (H7–H12)5P (PPPPP) [DSC01]6B/5P (+1T @DSC01-C2)DSC01 Row5 Stop (Col2)NextColVsDSC01-C1: 5v6
DSC01-C03 (H13–H16)4B (BBBB) [DSC01]10B/5P (+0T @DSC01-C3)DSC01 Row4 Stop (Col3)NextColVsDSC01-C2: 4v5
DSC01-C04 (H17–H20)3P (PPP) [DSC01]10B/8P (+1T @DSC01-C4)DSC01 Row3 Stop (Col4)NextColVsDSC01-C3: 3v4
DSC01-C05 (H21–H22)2B (BB) [DSC01]12B/8P (+0T @DSC01-C5)DSC01 Row2 Stop (Col5)NextColVsDSC01-C4: 2v3
DSC01-C06 (H23–H23)1P (P) [DSC01]12B/9P (+0T @DSC01-C6)DSC01 Row1 Stop (Col6)NextColVsDSC01-C5: 1v2
DSC01-C07 (H24–H25)2B (BB) [DSC01]14B/9P (+0T @DSC01-C7)DSC01 Row2 Stop (Col7)NextColVsDSC01-C6: 2v1
DSC01-C08 (H26–H29)3P (PPP) [DSC01]14B/12P (+1T @DSC01-C8)DSC01 Row3 Stop (Col8)NextColVsDSC01-C7: 3v2
DSC01-C09 (H30–H30)1B (B) [DSC01]15B/12P (+0T @DSC01-C9)DSC01 Row1 Stop (Col9)NextColVsDSC01-C8: 1v3
DSC01-C10 (H31–H32)2P (PP) [DSC01]15B/14P (+0T @DSC01-C10)DSC01 Row2 Stop (Col10)NextColVsDSC01-C9: 2v1
  • DSC01 BEB #3 (RED): verified at DSC01 lookback-1 index 2 (21R/36B total).
  • DSC01 SR #2 (RED): verified at DSC01 lookback-2 index 1 (22R/30B total).
  • DSC01 CP #1 (RED): verified at DSC01 lookback-3 index 0 (33R/15B total).
DSC01 DERIVED-ROAD & CUT-CARD PROBE

DSC01 Lookback Split (21R/36B BEB · 22R/30B SR · 33R/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 DSC01, Big Eye Boy prints 21 Red (36.8%) and 36 Blue marks, Small Road prints 22 Red (42.3%) and 30 Blue marks, and Cockroach Pig prints 33 Red (68.8%) and 15 Blue marks.

At the DSC01 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DSC01.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC01 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC01, 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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