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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC05 (SEED 204605)

Descending Cascade Shoe DSC05: 73-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC05 (seed 204605) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 73 dealt 8-deck hands (33 Banker, 34 Player, 6 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P) and generate 61 Big Eye Boy marks (21R/40B), 57 Small Road marks (20R/37B), and 54 Cockroach Pig marks (39R/15B).

Verified 8-Deck Hands
73 (DSC05)
Outcome Split
33B / 34P / 6T
Peak Streaks
5B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 73 Hands

Read the Board at Table Speed

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

DSC05 (seed 204605): 73 hands (33B / 34P / 6T), 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)
DSC05 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.

DSC05 Small Road Entry #6

Column 5 has 1 bead. Column 3 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

DSC05 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

DSC05 8-Deck Hand Distribution
73 Hands (33 Banker / 34 Player / 6 Tie)

Seed 204605 opening column signature: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P.

DSC05 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.

DSC05 Big Eye Boy Rule Breakdown
61 Marks (21R / 40B · 34.4% Red across 36 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

DSC05 Small Road & Cockroach Pig Tally
SR: 20R/37B (35.1% Red) · CP: 39R/15B (72.2% 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.

DSC05 Hand #74 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #73 of DSC05.

DSC05 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC05 Scoreboard Structure: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P

In catalog shoe DSC05 (seed 204605), 73 total hands resolve into 33 Banker wins, 34 Player wins, and 6 Ties across 29 logical columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P). 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 DSC05 column by column shows peak runs of 5B and 4P spreading across 29 Big Road display columns: DSC05 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 34 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC05 (Seed 204605)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC05-C01 (H1–H6)5B (BBBBB) [DSC05]5B/0P (+1T @DSC05-C1)DSC05 Row5 Stop (Col1)NextColVsDSC05-C1: 5v5
DSC05-C02 (H7–H10)4P (PPPP) [DSC05]5B/4P (+0T @DSC05-C2)DSC05 Row4 Stop (Col2)NextColVsDSC05-C1: 4v5
DSC05-C03 (H11–H13)3B (BBB) [DSC05]8B/4P (+0T @DSC05-C3)DSC05 Row3 Stop (Col3)NextColVsDSC05-C2: 3v4
DSC05-C04 (H14–H16)2P (PP) [DSC05]8B/6P (+1T @DSC05-C4)DSC05 Row2 Stop (Col4)NextColVsDSC05-C3: 2v3
DSC05-C05 (H17–H17)1B (B) [DSC05]9B/6P (+0T @DSC05-C5)DSC05 Row1 Stop (Col5)NextColVsDSC05-C4: 1v2
DSC05-C06 (H18–H20)3P (PPP) [DSC05]9B/9P (+0T @DSC05-C6)DSC05 Row3 Stop (Col6)NextColVsDSC05-C5: 3v1
DSC05-C07 (H21–H22)2B (BB) [DSC05]11B/9P (+0T @DSC05-C7)DSC05 Row2 Stop (Col7)NextColVsDSC05-C6: 2v3
DSC05-C08 (H23–H27)4P (PPPP) [DSC05]11B/13P (+1T @DSC05-C8)DSC05 Row4 Stop (Col8)NextColVsDSC05-C7: 4v2
DSC05-C09 (H28–H28)1B (B) [DSC05]12B/13P (+0T @DSC05-C9)DSC05 Row1 Stop (Col9)NextColVsDSC05-C8: 1v4
DSC05-C10 (H29–H30)2P (PP) [DSC05]12B/15P (+0T @DSC05-C10)DSC05 Row2 Stop (Col10)NextColVsDSC05-C9: 2v1
  • DSC05 BEB #7 (BLUE): verified at DSC05 lookback-1 index 6 (21R/40B total).
  • DSC05 SR #6 (BLUE): verified at DSC05 lookback-2 index 5 (20R/37B total).
  • DSC05 CP #1 (RED): verified at DSC05 lookback-3 index 0 (39R/15B total).
DSC05 DERIVED-ROAD & CUT-CARD PROBE

DSC05 Lookback Split (21R/40B BEB · 20R/37B SR · 39R/15B 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 DSC05, Big Eye Boy prints 21 Red (34.4%) and 40 Blue marks, Small Road prints 20 Red (35.1%) and 37 Blue marks, and Cockroach Pig prints 39 Red (72.2%) and 15 Blue marks.

At the DSC05 cut card after Hand #73, probing Hand #74 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DSC05.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC05 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC05, 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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