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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC07 (SEED 204607)

Descending Cascade Shoe DSC07: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC07 (seed 204607) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 65 dealt 8-deck hands (31 Banker, 26 Player, 8 Tie). Its 24 logical Big Road columns occupy 24 display columns (C1:1B · C2:1P · C3:6B · C4:5P · C5:4B · C6:3P · C7:2B · C8:1P) and generate 55 Big Eye Boy marks (26R/29B), 54 Small Road marks (23R/31B), and 48 Cockroach Pig marks (30R/18B).

Verified 8-Deck Hands
65 (DSC07)
Outcome Split
31B / 26P / 8T
Peak Streaks
6B · 5P
Big Road Columns
24 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

DSC07 (seed 204607): 65 hands (31B / 26P / 8T), peak streaks 6B & 5P across 24 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)
DSC07 Big Eye Boy Entry #3

This bead is at Row 3. Column 2 stopped at Row 1, more than one row above → red (=).

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

DSC07 Small Road Entry #3

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

  1. Column 3 goes down to Row 4, 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.

DSC07 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

DSC07 8-Deck Hand Distribution
65 Hands (31 Banker / 26 Player / 8 Tie)

Seed 204607 opening column signature: C1:1B · C2:1P · C3:6B · C4:5P · C5:4B · C6:3P · C7:2B · C8:1P.

DSC07 Big Road Span & Max Streaks
Max 6B / Max 5P Across 24 Logical Cols (24 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.

DSC07 Big Eye Boy Rule Breakdown
55 Marks (26R / 29B · 47.3% Red across 33 Display Cols)

Rule 1: 22 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DSC07 Small Road & Cockroach Pig Tally
SR: 23R/31B (42.6% Red) · CP: 30R/18B (62.5% 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.

DSC07 Hand #66 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #65 of DSC07.

DSC07 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC07 Scoreboard Structure: C1:1B · C2:1P · C3:6B · C4:5P · C5:4B · C6:3P · C7:2B · C8:1P

In catalog shoe DSC07 (seed 204607), 65 total hands resolve into 31 Banker wins, 26 Player wins, and 8 Ties across 24 logical columns (C1:1B · C2:1P · C3:6B · C4:5P · C5:4B · C6:3P · C7:2B · 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 DSC07 column by column shows peak runs of 6B and 5P spreading across 24 Big Road display columns: DSC07 records 22 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 DSC07 (Seed 204607)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC07-C01 (H1–H1)1B (B) [DSC07]1B/0P (+0T @DSC07-C1)DSC07 Row1 Stop (Col1)NextColVsDSC07-C1: 1v1
DSC07-C02 (H2–H2)1P (P) [DSC07]1B/1P (+0T @DSC07-C2)DSC07 Row1 Stop (Col2)NextColVsDSC07-C1: 1v1
DSC07-C03 (H3–H9)6B (BBBBBB) [DSC07]7B/1P (+1T @DSC07-C3)DSC07 Row6 Stop (Col3)NextColVsDSC07-C2: 6v1
DSC07-C04 (H10–H15)5P (PPPPP) [DSC07]7B/6P (+1T @DSC07-C4)DSC07 Row5 Stop (Col4)NextColVsDSC07-C3: 5v6
DSC07-C05 (H16–H19)4B (BBBB) [DSC07]11B/6P (+0T @DSC07-C5)DSC07 Row4 Stop (Col5)NextColVsDSC07-C4: 4v5
DSC07-C06 (H20–H23)3P (PPP) [DSC07]11B/9P (+1T @DSC07-C6)DSC07 Row3 Stop (Col6)NextColVsDSC07-C5: 3v4
DSC07-C07 (H24–H25)2B (BB) [DSC07]13B/9P (+0T @DSC07-C7)DSC07 Row2 Stop (Col7)NextColVsDSC07-C6: 2v3
DSC07-C08 (H26–H26)1P (P) [DSC07]13B/10P (+0T @DSC07-C8)DSC07 Row1 Stop (Col8)NextColVsDSC07-C7: 1v2
DSC07-C09 (H27–H28)1B (B) [DSC07]14B/10P (+1T @DSC07-C9)DSC07 Row1 Stop (Col9)NextColVsDSC07-C8: 1v1
DSC07-C10 (H29–H30)2P (PP) [DSC07]14B/12P (+0T @DSC07-C10)DSC07 Row2 Stop (Col10)NextColVsDSC07-C9: 2v1
  • DSC07 BEB #3 (RED): verified at DSC07 lookback-1 index 2 (26R/29B total).
  • DSC07 SR #3 (RED): verified at DSC07 lookback-2 index 2 (23R/31B total).
  • DSC07 CP #3 (RED): verified at DSC07 lookback-3 index 2 (30R/18B total).
DSC07 DERIVED-ROAD & CUT-CARD PROBE

DSC07 Lookback Split (26R/29B BEB · 23R/31B SR · 30R/18B 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 DSC07, Big Eye Boy prints 26 Red (47.3%) and 29 Blue marks, Small Road prints 23 Red (42.6%) and 31 Blue marks, and Cockroach Pig prints 30 Red (62.5%) and 18 Blue marks.

At the DSC07 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DSC07.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC07 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC07, 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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