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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC25 (SEED 204625)

Descending Cascade Shoe DSC25: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC25 (seed 204625) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 65 dealt 8-deck hands (31 Banker, 28 Player, 6 Tie). Its 24 logical Big Road columns occupy 24 display columns (C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:1B · C8:3P) and generate 52 Big Eye Boy marks (21R/31B), 47 Small Road marks (18R/29B), and 43 Cockroach Pig marks (29R/14B).

Verified 8-Deck Hands
65 (DSC25)
Outcome Split
31B / 28P / 6T
Peak Streaks
6B · 5P
Big Road Columns
24 Cols
Engine-Verified Scoreboard · 65 Hands

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

DSC25 (seed 204625): 65 hands (31B / 28P / 6T), peak streaks 6B & 5P across 24 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)
DSC25 Big Eye Boy Entry #3

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

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column 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.

DSC25 Small Road Entry #6

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

DSC25 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

DSC25 8-Deck Hand Distribution
65 Hands (31 Banker / 28 Player / 6 Tie)

Seed 204625 opening column signature: C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:1B · C8:3P.

DSC25 Big Road Span & Max Streaks
Max 6B / Max 5P Across 24 Logical Cols (24 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.

DSC25 Big Eye Boy Rule Breakdown
52 Marks (21R / 31B · 40.4% Red across 30 Display Cols)

Rule 1: 22 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 30.

DSC25 Small Road & Cockroach Pig Tally
SR: 18R/29B (38.3% Red) · CP: 29R/14B (67.4% 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.

DSC25 Hand #66 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #65 of DSC25.

DSC25 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC25 Scoreboard Structure: C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:1B · C8:3P

In catalog shoe DSC25 (seed 204625), 65 total hands resolve into 31 Banker wins, 28 Player wins, and 6 Ties across 24 logical columns (C1:6B · C2:5P · C3:4B · C4:3P · C5:2B · C6:1P · C7:1B · C8:3P). 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 DSC25 column by column shows peak runs of 6B and 5P spreading across 24 Big Road display columns: DSC25 records 22 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 30 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC25 (Seed 204625)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC25-C01 (H1–H6)6B (BBBBBB) [DSC25]6B/0P (+0T @DSC25-C1)DSC25 Row6 Stop (Col1)NextColVsDSC25-C1: 6v6
DSC25-C02 (H7–H12)5P (PPPPP) [DSC25]6B/5P (+1T @DSC25-C2)DSC25 Row5 Stop (Col2)NextColVsDSC25-C1: 5v6
DSC25-C03 (H13–H16)4B (BBBB) [DSC25]10B/5P (+0T @DSC25-C3)DSC25 Row4 Stop (Col3)NextColVsDSC25-C2: 4v5
DSC25-C04 (H17–H20)3P (PPP) [DSC25]10B/8P (+1T @DSC25-C4)DSC25 Row3 Stop (Col4)NextColVsDSC25-C3: 3v4
DSC25-C05 (H21–H22)2B (BB) [DSC25]12B/8P (+0T @DSC25-C5)DSC25 Row2 Stop (Col5)NextColVsDSC25-C4: 2v3
DSC25-C06 (H23–H23)1P (P) [DSC25]12B/9P (+0T @DSC25-C6)DSC25 Row1 Stop (Col6)NextColVsDSC25-C5: 1v2
DSC25-C07 (H24–H24)1B (B) [DSC25]13B/9P (+0T @DSC25-C7)DSC25 Row1 Stop (Col7)NextColVsDSC25-C6: 1v1
DSC25-C08 (H25–H28)3P (PPP) [DSC25]13B/12P (+1T @DSC25-C8)DSC25 Row3 Stop (Col8)NextColVsDSC25-C7: 3v1
DSC25-C09 (H29–H30)2B (BB) [DSC25]15B/12P (+0T @DSC25-C9)DSC25 Row2 Stop (Col9)NextColVsDSC25-C8: 2v3
DSC25-C10 (H31–H31)1P (P) [DSC25]15B/13P (+0T @DSC25-C10)DSC25 Row1 Stop (Col10)NextColVsDSC25-C9: 1v2
  • DSC25 BEB #3 (RED): verified at DSC25 lookback-1 index 2 (21R/31B total).
  • DSC25 SR #6 (RED): verified at DSC25 lookback-2 index 5 (18R/29B total).
  • DSC25 CP #1 (RED): verified at DSC25 lookback-3 index 0 (29R/14B total).
DSC25 DERIVED-ROAD & CUT-CARD PROBE

DSC25 Lookback Split (21R/31B BEB · 18R/29B SR · 29R/14B 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 DSC25, Big Eye Boy prints 21 Red (40.4%) and 31 Blue marks, Small Road prints 18 Red (38.3%) and 29 Blue marks, and Cockroach Pig prints 29 Red (67.4%) and 14 Blue marks.

At the DSC25 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DSC25.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC25 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC25, 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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