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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC08 (SEED 204608)

Descending Cascade Shoe DSC08: 70-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC08 (seed 204608) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 70 dealt 8-deck hands (33 Banker, 33 Player, 4 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B) and generate 62 Big Eye Boy marks (25R/37B), 59 Small Road marks (22R/37B), and 58 Cockroach Pig marks (38R/20B).

Verified 8-Deck Hands
70 (DSC08)
Outcome Split
33B / 33P / 4T
Peak Streaks
5B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 70 Hands

Read the Board at Table Speed

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

DSC08 (seed 204608): 70 hands (33B / 33P / 4T), peak streaks 5B & 4P across 29 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)
DSC08 Big Eye Boy Entry #4

Column 3 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

DSC08 Small Road Entry #4

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

  1. Column 4 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 3, one row above → blue (≠).

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.

DSC08 Cockroach Pig Entry #4

This bead is at Row 5. Column 1 stopped at Row 3, more than one row above → red (=).

  1. Column 4 goes down to Row 5, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 3, 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

DSC08 8-Deck Hand Distribution
70 Hands (33 Banker / 33 Player / 4 Tie)

Seed 204608 opening column signature: C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B.

DSC08 Big Road Span & Max Streaks
Max 5B / Max 4P Across 29 Logical Cols (29 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.

DSC08 Big Eye Boy Rule Breakdown
62 Marks (25R / 37B · 40.3% Red across 36 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

DSC08 Small Road & Cockroach Pig Tally
SR: 22R/37B (37.3% Red) · CP: 38R/20B (65.5% 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.

DSC08 Hand #71 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #70 of DSC08.

DSC08 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC08 Scoreboard Structure: C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B

In catalog shoe DSC08 (seed 204608), 70 total hands resolve into 33 Banker wins, 33 Player wins, and 4 Ties across 29 logical columns (C1:3P · C2:3B · C3:1P · C4:5B · C5:4P · C6:3B · C7:2P · C8:1B). 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 DSC08 column by column shows peak runs of 5B and 4P spreading across 29 Big Road display columns: DSC08 records 27 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC08 (Seed 204608)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC08-C01 (H1–H3)3P (PPP) [DSC08]0B/3P (+0T @DSC08-C1)DSC08 Row3 Stop (Col1)NextColVsDSC08-C1: 3v3
DSC08-C02 (H4–H6)3B (BBB) [DSC08]3B/3P (+0T @DSC08-C2)DSC08 Row3 Stop (Col2)NextColVsDSC08-C1: 3v3
DSC08-C03 (H7–H8)1P (P) [DSC08]3B/4P (+1T @DSC08-C3)DSC08 Row1 Stop (Col3)NextColVsDSC08-C2: 1v3
DSC08-C04 (H9–H13)5B (BBBBB) [DSC08]8B/4P (+0T @DSC08-C4)DSC08 Row5 Stop (Col4)NextColVsDSC08-C3: 5v1
DSC08-C05 (H14–H17)4P (PPPP) [DSC08]8B/8P (+0T @DSC08-C5)DSC08 Row4 Stop (Col5)NextColVsDSC08-C4: 4v5
DSC08-C06 (H18–H20)3B (BBB) [DSC08]11B/8P (+0T @DSC08-C6)DSC08 Row3 Stop (Col6)NextColVsDSC08-C5: 3v4
DSC08-C07 (H21–H23)2P (PP) [DSC08]11B/10P (+1T @DSC08-C7)DSC08 Row2 Stop (Col7)NextColVsDSC08-C6: 2v3
DSC08-C08 (H24–H24)1B (B) [DSC08]12B/10P (+0T @DSC08-C8)DSC08 Row1 Stop (Col8)NextColVsDSC08-C7: 1v2
DSC08-C09 (H25–H25)1P (P) [DSC08]12B/11P (+0T @DSC08-C9)DSC08 Row1 Stop (Col9)NextColVsDSC08-C8: 1v1
DSC08-C10 (H26–H27)2B (BB) [DSC08]14B/11P (+0T @DSC08-C10)DSC08 Row2 Stop (Col10)NextColVsDSC08-C9: 2v1
  • DSC08 BEB #4 (BLUE): verified at DSC08 lookback-1 index 3 (25R/37B total).
  • DSC08 SR #4 (BLUE): verified at DSC08 lookback-2 index 3 (22R/37B total).
  • DSC08 CP #4 (RED): verified at DSC08 lookback-3 index 3 (38R/20B total).
DSC08 DERIVED-ROAD & CUT-CARD PROBE

DSC08 Lookback Split (25R/37B BEB · 22R/37B SR · 38R/20B 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 DSC08, Big Eye Boy prints 25 Red (40.3%) and 37 Blue marks, Small Road prints 22 Red (37.3%) and 37 Blue marks, and Cockroach Pig prints 38 Red (65.5%) and 20 Blue marks.

At the DSC08 cut card after Hand #70, probing Hand #71 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DSC08.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC08 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC08, 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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