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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC15 (SEED 204615)

Descending Cascade Shoe DSC15: 69-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC15 (seed 204615) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 69 dealt 8-deck hands (31 Banker, 32 Player, 6 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:2B · C2:2P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P) and generate 60 Big Eye Boy marks (23R/37B), 58 Small Road marks (24R/34B), and 53 Cockroach Pig marks (34R/19B).

Verified 8-Deck Hands
69 (DSC15)
Outcome Split
31B / 32P / 6T
Peak Streaks
5B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 69 Hands

Read the Board at Table Speed

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

DSC15 (seed 204615): 69 hands (31B / 32P / 6T), peak streaks 5B & 4P across 28 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)
DSC15 Big Eye Boy Entry #5

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 2, 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.

DSC15 Small Road Entry #6

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

DSC15 Cockroach Pig Entry #3

This bead is at Row 4. Column 1 stopped at Row 2, 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 2, 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

DSC15 8-Deck Hand Distribution
69 Hands (31 Banker / 32 Player / 6 Tie)

Seed 204615 opening column signature: C1:2B · C2:2P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P.

DSC15 Big Road Span & Max Streaks
Max 5B / Max 4P Across 28 Logical Cols (28 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.

DSC15 Big Eye Boy Rule Breakdown
60 Marks (23R / 37B · 38.3% Red across 34 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

DSC15 Small Road & Cockroach Pig Tally
SR: 24R/34B (41.4% Red) · CP: 34R/19B (64.2% 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.

DSC15 Hand #70 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #69 of DSC15.

DSC15 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC15 Scoreboard Structure: C1:2B · C2:2P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · C8:2P

In catalog shoe DSC15 (seed 204615), 69 total hands resolve into 31 Banker wins, 32 Player wins, and 6 Ties across 28 logical columns (C1:2B · C2:2P · C3:5B · C4:4P · C5:3B · C6:2P · C7:1B · 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 DSC15 column by column shows peak runs of 5B and 4P spreading across 28 Big Road display columns: DSC15 records 26 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 34 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC15 (Seed 204615)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC15-C01 (H1–H2)2B (BB) [DSC15]2B/0P (+0T @DSC15-C1)DSC15 Row2 Stop (Col1)NextColVsDSC15-C1: 2v2
DSC15-C02 (H3–H4)2P (PP) [DSC15]2B/2P (+0T @DSC15-C2)DSC15 Row2 Stop (Col2)NextColVsDSC15-C1: 2v2
DSC15-C03 (H5–H10)5B (BBBBB) [DSC15]7B/2P (+1T @DSC15-C3)DSC15 Row5 Stop (Col3)NextColVsDSC15-C2: 5v2
DSC15-C04 (H11–H14)4P (PPPP) [DSC15]7B/6P (+0T @DSC15-C4)DSC15 Row4 Stop (Col4)NextColVsDSC15-C3: 4v5
DSC15-C05 (H15–H18)3B (BBB) [DSC15]10B/6P (+1T @DSC15-C5)DSC15 Row3 Stop (Col5)NextColVsDSC15-C4: 3v4
DSC15-C06 (H19–H20)2P (PP) [DSC15]10B/8P (+0T @DSC15-C6)DSC15 Row2 Stop (Col6)NextColVsDSC15-C5: 2v3
DSC15-C07 (H21–H21)1B (B) [DSC15]11B/8P (+0T @DSC15-C7)DSC15 Row1 Stop (Col7)NextColVsDSC15-C6: 1v2
DSC15-C08 (H22–H23)2P (PP) [DSC15]11B/10P (+0T @DSC15-C8)DSC15 Row2 Stop (Col8)NextColVsDSC15-C7: 2v1
DSC15-C09 (H24–H24)1B (B) [DSC15]12B/10P (+0T @DSC15-C9)DSC15 Row1 Stop (Col9)NextColVsDSC15-C8: 1v2
DSC15-C10 (H25–H28)3P (PPP) [DSC15]12B/13P (+1T @DSC15-C10)DSC15 Row3 Stop (Col10)NextColVsDSC15-C9: 3v1
  • DSC15 BEB #5 (RED): verified at DSC15 lookback-1 index 4 (23R/37B total).
  • DSC15 SR #6 (RED): verified at DSC15 lookback-2 index 5 (24R/34B total).
  • DSC15 CP #3 (RED): verified at DSC15 lookback-3 index 2 (34R/19B total).
DSC15 DERIVED-ROAD & CUT-CARD PROBE

DSC15 Lookback Split (23R/37B BEB · 24R/34B SR · 34R/19B 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 DSC15, Big Eye Boy prints 23 Red (38.3%) and 37 Blue marks, Small Road prints 24 Red (41.4%) and 34 Blue marks, and Cockroach Pig prints 34 Red (64.2%) and 19 Blue marks.

At the DSC15 cut card after Hand #69, probing Hand #70 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DSC15.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC15 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC15, 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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