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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC29 (SEED 204629)

Descending Cascade Shoe DSC29: 67-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC29 (seed 204629) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 67 dealt 8-deck hands (32 Banker, 30 Player, 5 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:1B · C8:2P) and generate 56 Big Eye Boy marks (19R/37B), 52 Small Road marks (20R/32B), and 49 Cockroach Pig marks (33R/16B).

Verified 8-Deck Hands
67 (DSC29)
Outcome Split
32B / 30P / 5T
Peak Streaks
5B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 67 Hands

Read the Board at Table Speed

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

DSC29 (seed 204629): 67 hands (32B / 30P / 5T), peak streaks 5B & 4P across 27 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)
DSC29 Big Eye Boy Entry #7

Column 3 has 3 beads. Column 2 has 4 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 3 beads. Column 2 has 4 beads. Different depth → blue (≠).

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

DSC29 Small Road Entry #5

Column 4 has 2 beads. Column 2 has 4 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

DSC29 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

DSC29 8-Deck Hand Distribution
67 Hands (32 Banker / 30 Player / 5 Tie)

Seed 204629 opening column signature: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:1B · C8:2P.

DSC29 Big Road Span & Max Streaks
Max 5B / Max 4P Across 27 Logical Cols (27 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.

DSC29 Big Eye Boy Rule Breakdown
56 Marks (19R / 37B · 33.9% Red across 32 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

DSC29 Small Road & Cockroach Pig Tally
SR: 20R/32B (38.5% Red) · CP: 33R/16B (67.3% 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.

DSC29 Hand #68 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #67 of DSC29.

DSC29 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC29 Scoreboard Structure: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:1B · C8:2P

In catalog shoe DSC29 (seed 204629), 67 total hands resolve into 32 Banker wins, 30 Player wins, and 5 Ties across 27 logical columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · 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 DSC29 column by column shows peak runs of 5B and 4P spreading across 27 Big Road display columns: DSC29 records 25 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 31 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC29 (Seed 204629)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC29-C01 (H1–H5)5B (BBBBB) [DSC29]5B/0P (+0T @DSC29-C1)DSC29 Row5 Stop (Col1)NextColVsDSC29-C1: 5v5
DSC29-C02 (H6–H10)4P (PPPP) [DSC29]5B/4P (+1T @DSC29-C2)DSC29 Row4 Stop (Col2)NextColVsDSC29-C1: 4v5
DSC29-C03 (H11–H13)3B (BBB) [DSC29]8B/4P (+0T @DSC29-C3)DSC29 Row3 Stop (Col3)NextColVsDSC29-C2: 3v4
DSC29-C04 (H14–H15)2P (PP) [DSC29]8B/6P (+0T @DSC29-C4)DSC29 Row2 Stop (Col4)NextColVsDSC29-C3: 2v3
DSC29-C05 (H16–H16)1B (B) [DSC29]9B/6P (+0T @DSC29-C5)DSC29 Row1 Stop (Col5)NextColVsDSC29-C4: 1v2
DSC29-C06 (H17–H20)3P (PPP) [DSC29]9B/9P (+1T @DSC29-C6)DSC29 Row3 Stop (Col6)NextColVsDSC29-C5: 3v1
DSC29-C07 (H21–H21)1B (B) [DSC29]10B/9P (+0T @DSC29-C7)DSC29 Row1 Stop (Col7)NextColVsDSC29-C6: 1v3
DSC29-C08 (H22–H23)2P (PP) [DSC29]10B/11P (+0T @DSC29-C8)DSC29 Row2 Stop (Col8)NextColVsDSC29-C7: 2v1
DSC29-C09 (H24–H27)4B (BBBB) [DSC29]14B/11P (+0T @DSC29-C9)DSC29 Row4 Stop (Col9)NextColVsDSC29-C8: 4v2
DSC29-C10 (H28–H28)1P (P) [DSC29]14B/12P (+0T @DSC29-C10)DSC29 Row1 Stop (Col10)NextColVsDSC29-C9: 1v4
  • DSC29 BEB #7 (BLUE): verified at DSC29 lookback-1 index 6 (19R/37B total).
  • DSC29 SR #5 (BLUE): verified at DSC29 lookback-2 index 4 (20R/32B total).
  • DSC29 CP #1 (RED): verified at DSC29 lookback-3 index 0 (33R/16B total).
DSC29 DERIVED-ROAD & CUT-CARD PROBE

DSC29 Lookback Split (19R/37B BEB · 20R/32B SR · 33R/16B 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 DSC29, Big Eye Boy prints 19 Red (33.9%) and 37 Blue marks, Small Road prints 20 Red (38.5%) and 32 Blue marks, and Cockroach Pig prints 33 Red (67.3%) and 16 Blue marks.

At the DSC29 cut card after Hand #67, probing Hand #68 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DSC29.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC29 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC29, 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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