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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC26 (SEED 204626)

Descending Cascade Shoe DSC26: 70-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC26 (seed 204626) 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 (35 Banker, 28 Player, 7 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:3B) and generate 61 Big Eye Boy marks (24R/37B), 56 Small Road marks (20R/36B), and 52 Cockroach Pig marks (31R/21B).

Verified 8-Deck Hands
70 (DSC26)
Outcome Split
35B / 28P / 7T
Peak Streaks
5B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 70 Hands

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

DSC26 (seed 204626): 70 hands (35B / 28P / 7T), 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)
DSC26 Big Eye Boy Entry #4

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

  1. Column 2 goes down to Row 5, so use Rule 2: look 1 column 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.

DSC26 Small Road Entry #2

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

  1. Column 3 goes down to Row 3, 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.

DSC26 Cockroach Pig Entry #2

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

  1. Column 4 goes down to Row 3, 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

DSC26 8-Deck Hand Distribution
70 Hands (35 Banker / 28 Player / 7 Tie)

Seed 204626 opening column signature: C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:3B.

DSC26 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.

DSC26 Big Eye Boy Rule Breakdown
61 Marks (24R / 37B · 39.3% Red across 39 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

DSC26 Small Road & Cockroach Pig Tally
SR: 20R/36B (35.7% Red) · CP: 31R/21B (59.6% 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.

DSC26 Hand #71 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #70 of DSC26.

DSC26 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC26 Scoreboard Structure: C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:3B

In catalog shoe DSC26 (seed 204626), 70 total hands resolve into 35 Banker wins, 28 Player wins, and 7 Ties across 28 logical columns (C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:1P · C8:3B). 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 DSC26 column by column shows peak runs of 5B and 4P spreading across 28 Big Road display columns: DSC26 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 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC26 (Seed 204626)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC26-C01 (H1–H1)1P (P) [DSC26]0B/1P (+0T @DSC26-C1)DSC26 Row1 Stop (Col1)NextColVsDSC26-C1: 1v1
DSC26-C02 (H2–H7)5B (BBBBB) [DSC26]5B/1P (+1T @DSC26-C2)DSC26 Row5 Stop (Col2)NextColVsDSC26-C1: 5v1
DSC26-C03 (H8–H11)4P (PPPP) [DSC26]5B/5P (+0T @DSC26-C3)DSC26 Row4 Stop (Col3)NextColVsDSC26-C2: 4v5
DSC26-C04 (H12–H15)3B (BBB) [DSC26]8B/5P (+1T @DSC26-C4)DSC26 Row3 Stop (Col4)NextColVsDSC26-C3: 3v4
DSC26-C05 (H16–H17)2P (PP) [DSC26]8B/7P (+0T @DSC26-C5)DSC26 Row2 Stop (Col5)NextColVsDSC26-C4: 2v3
DSC26-C06 (H18–H18)1B (B) [DSC26]9B/7P (+0T @DSC26-C6)DSC26 Row1 Stop (Col6)NextColVsDSC26-C5: 1v2
DSC26-C07 (H19–H19)1P (P) [DSC26]9B/8P (+0T @DSC26-C7)DSC26 Row1 Stop (Col7)NextColVsDSC26-C6: 1v1
DSC26-C08 (H20–H23)3B (BBB) [DSC26]12B/8P (+1T @DSC26-C8)DSC26 Row3 Stop (Col8)NextColVsDSC26-C7: 3v1
DSC26-C09 (H24–H25)2P (PP) [DSC26]12B/10P (+0T @DSC26-C9)DSC26 Row2 Stop (Col9)NextColVsDSC26-C8: 2v3
DSC26-C10 (H26–H30)4B (BBBB) [DSC26]16B/10P (+1T @DSC26-C10)DSC26 Row4 Stop (Col10)NextColVsDSC26-C9: 4v2
  • DSC26 BEB #4 (RED): verified at DSC26 lookback-1 index 3 (24R/37B total).
  • DSC26 SR #2 (RED): verified at DSC26 lookback-2 index 1 (20R/36B total).
  • DSC26 CP #2 (RED): verified at DSC26 lookback-3 index 1 (31R/21B total).
DSC26 DERIVED-ROAD & CUT-CARD PROBE

DSC26 Lookback Split (24R/37B BEB · 20R/36B SR · 31R/21B 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 DSC26, Big Eye Boy prints 24 Red (39.3%) and 37 Blue marks, Small Road prints 20 Red (35.7%) and 36 Blue marks, and Cockroach Pig prints 31 Red (59.6%) and 21 Blue marks.

At the DSC26 cut card after Hand #70, probing Hand #71 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DSC26.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC26 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC26, 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
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