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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC22 (SEED 204622)

Descending Cascade Shoe DSC22: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC22 (seed 204622) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 68 dealt 8-deck hands (29 Banker, 31 Player, 8 Tie). Its 23 logical Big Road columns occupy 23 display columns (C1:4P · C2:6B · C3:5P · C4:4B · C5:3P · C6:2B · C7:1P · C8:1B) and generate 55 Big Eye Boy marks (25R/30B), 49 Small Road marks (20R/29B), and 44 Cockroach Pig marks (32R/12B).

Verified 8-Deck Hands
68 (DSC22)
Outcome Split
29B / 31P / 8T
Peak Streaks
6B · 5P
Big Road Columns
23 Cols
Engine-Verified Scoreboard · 68 Hands

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

DSC22 (seed 204622): 68 hands (29B / 31P / 8T), peak streaks 6B & 5P across 23 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)
DSC22 Big Eye Boy Entry #6

Column 2 has 6 beads. Column 1 has 4 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 6 beads. Column 1 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

DSC22 Small Road Entry #3

This bead is at Row 4. Column 1 has a bead at Row 4 too → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 4 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.

DSC22 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 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

DSC22 8-Deck Hand Distribution
68 Hands (29 Banker / 31 Player / 8 Tie)

Seed 204622 opening column signature: C1:4P · C2:6B · C3:5P · C4:4B · C5:3P · C6:2B · C7:1P · C8:1B.

DSC22 Big Road Span & Max Streaks
Max 6B / Max 5P Across 23 Logical Cols (23 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.

DSC22 Big Eye Boy Rule Breakdown
55 Marks (25R / 30B · 45.5% Red across 33 Display Cols)

Rule 1: 21 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

DSC22 Small Road & Cockroach Pig Tally
SR: 20R/29B (40.8% Red) · CP: 32R/12B (72.7% 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.

DSC22 Hand #69 Next-Hand Probe
If B → BEB blue, SR blue, CP blue | If P → BEB red, SR red, CP red

Computed by getNextRoadPredictions() after Hand #68 of DSC22.

DSC22 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC22 Scoreboard Structure: C1:4P · C2:6B · C3:5P · C4:4B · C5:3P · C6:2B · C7:1P · C8:1B

In catalog shoe DSC22 (seed 204622), 68 total hands resolve into 29 Banker wins, 31 Player wins, and 8 Ties across 23 logical columns (C1:4P · C2:6B · C3:5P · C4:4B · C5:3P · C6:2B · C7:1P · 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 DSC22 column by column shows peak runs of 6B and 5P spreading across 23 Big Road display columns: DSC22 records 21 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 DSC22 (Seed 204622)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC22-C01 (H1–H5)4P (PPPP) [DSC22]0B/4P (+1T @DSC22-C1)DSC22 Row4 Stop (Col1)NextColVsDSC22-C1: 4v4
DSC22-C02 (H6–H12)6B (BBBBBB) [DSC22]6B/4P (+1T @DSC22-C2)DSC22 Row6 Stop (Col2)NextColVsDSC22-C1: 6v4
DSC22-C03 (H13–H18)5P (PPPPP) [DSC22]6B/9P (+1T @DSC22-C3)DSC22 Row5 Stop (Col3)NextColVsDSC22-C2: 5v6
DSC22-C04 (H19–H22)4B (BBBB) [DSC22]10B/9P (+0T @DSC22-C4)DSC22 Row4 Stop (Col4)NextColVsDSC22-C3: 4v5
DSC22-C05 (H23–H26)3P (PPP) [DSC22]10B/12P (+1T @DSC22-C5)DSC22 Row3 Stop (Col5)NextColVsDSC22-C4: 3v4
DSC22-C06 (H27–H28)2B (BB) [DSC22]12B/12P (+0T @DSC22-C6)DSC22 Row2 Stop (Col6)NextColVsDSC22-C5: 2v3
DSC22-C07 (H29–H29)1P (P) [DSC22]12B/13P (+0T @DSC22-C7)DSC22 Row1 Stop (Col7)NextColVsDSC22-C6: 1v2
DSC22-C08 (H30–H30)1B (B) [DSC22]13B/13P (+0T @DSC22-C8)DSC22 Row1 Stop (Col8)NextColVsDSC22-C7: 1v1
DSC22-C09 (H31–H33)2P (PP) [DSC22]13B/15P (+1T @DSC22-C9)DSC22 Row2 Stop (Col9)NextColVsDSC22-C8: 2v1
DSC22-C10 (H34–H36)3B (BBB) [DSC22]16B/15P (+0T @DSC22-C10)DSC22 Row3 Stop (Col10)NextColVsDSC22-C9: 3v2
  • DSC22 BEB #6 (BLUE): verified at DSC22 lookback-1 index 5 (25R/30B total).
  • DSC22 SR #3 (RED): verified at DSC22 lookback-2 index 2 (20R/29B total).
  • DSC22 CP #2 (RED): verified at DSC22 lookback-3 index 1 (32R/12B total).
DSC22 DERIVED-ROAD & CUT-CARD PROBE

DSC22 Lookback Split (25R/30B BEB · 20R/29B SR · 32R/12B 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 DSC22, Big Eye Boy prints 25 Red (45.5%) and 30 Blue marks, Small Road prints 20 Red (40.8%) and 29 Blue marks, and Cockroach Pig prints 32 Red (72.7%) and 12 Blue marks.

At the DSC22 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP BLUE and Player → BEB RED / SR RED / CP RED for DSC22.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC22 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC22, 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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