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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC14 (SEED 204614)

Descending Cascade Shoe DSC14: 82-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC14 (seed 204614) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 82 dealt 8-deck hands (39 Banker, 38 Player, 5 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:4P · C8:1B) and generate 75 Big Eye Boy marks (28R/47B), 70 Small Road marks (27R/43B), and 66 Cockroach Pig marks (44R/22B).

Verified 8-Deck Hands
82 (DSC14)
Outcome Split
39B / 38P / 5T
Peak Streaks
5B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 82 Hands

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

DSC14 (seed 204614): 82 hands (39B / 38P / 5T), peak streaks 5B & 4P across 33 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)
DSC14 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.

DSC14 Small Road Entry #5

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

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

DSC14 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

DSC14 8-Deck Hand Distribution
82 Hands (39 Banker / 38 Player / 5 Tie)

Seed 204614 opening column signature: C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:4P · C8:1B.

DSC14 Big Road Span & Max Streaks
Max 5B / Max 4P Across 33 Logical Cols (33 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.

DSC14 Big Eye Boy Rule Breakdown
75 Marks (28R / 47B · 37.3% Red across 45 Display Cols)

Rule 1: 31 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 44.

DSC14 Small Road & Cockroach Pig Tally
SR: 27R/43B (38.6% Red) · CP: 44R/22B (66.7% 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.

DSC14 Hand #83 Next-Hand Probe
If B → BEB blue, SR blue, CP blue | If P → BEB red, SR red, CP red

Computed by getNextRoadPredictions() after Hand #82 of DSC14.

DSC14 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC14 Scoreboard Structure: C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:4P · C8:1B

In catalog shoe DSC14 (seed 204614), 82 total hands resolve into 39 Banker wins, 38 Player wins, and 5 Ties across 33 logical columns (C1:1P · C2:5B · C3:4P · C4:3B · C5:2P · C6:1B · C7:4P · 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 DSC14 column by column shows peak runs of 5B and 4P spreading across 33 Big Road display columns: DSC14 records 31 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 44 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC14 (Seed 204614)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC14-C01 (H1–H2)1P (P) [DSC14]0B/1P (+1T @DSC14-C1)DSC14 Row1 Stop (Col1)NextColVsDSC14-C1: 1v1
DSC14-C02 (H3–H7)5B (BBBBB) [DSC14]5B/1P (+0T @DSC14-C2)DSC14 Row5 Stop (Col2)NextColVsDSC14-C1: 5v1
DSC14-C03 (H8–H11)4P (PPPP) [DSC14]5B/5P (+0T @DSC14-C3)DSC14 Row4 Stop (Col3)NextColVsDSC14-C2: 4v5
DSC14-C04 (H12–H15)3B (BBB) [DSC14]8B/5P (+1T @DSC14-C4)DSC14 Row3 Stop (Col4)NextColVsDSC14-C3: 3v4
DSC14-C05 (H16–H17)2P (PP) [DSC14]8B/7P (+0T @DSC14-C5)DSC14 Row2 Stop (Col5)NextColVsDSC14-C4: 2v3
DSC14-C06 (H18–H18)1B (B) [DSC14]9B/7P (+0T @DSC14-C6)DSC14 Row1 Stop (Col6)NextColVsDSC14-C5: 1v2
DSC14-C07 (H19–H22)4P (PPPP) [DSC14]9B/11P (+0T @DSC14-C7)DSC14 Row4 Stop (Col7)NextColVsDSC14-C6: 4v1
DSC14-C08 (H23–H23)1B (B) [DSC14]10B/11P (+0T @DSC14-C8)DSC14 Row1 Stop (Col8)NextColVsDSC14-C7: 1v4
DSC14-C09 (H24–H26)3P (PPP) [DSC14]10B/14P (+0T @DSC14-C9)DSC14 Row3 Stop (Col9)NextColVsDSC14-C8: 3v1
DSC14-C10 (H27–H29)2B (BB) [DSC14]12B/14P (+1T @DSC14-C10)DSC14 Row2 Stop (Col10)NextColVsDSC14-C9: 2v3
  • DSC14 BEB #4 (RED): verified at DSC14 lookback-1 index 3 (28R/47B total).
  • DSC14 SR #5 (RED): verified at DSC14 lookback-2 index 4 (27R/43B total).
  • DSC14 CP #2 (RED): verified at DSC14 lookback-3 index 1 (44R/22B total).
DSC14 DERIVED-ROAD & CUT-CARD PROBE

DSC14 Lookback Split (28R/47B BEB · 27R/43B SR · 44R/22B 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 DSC14, Big Eye Boy prints 28 Red (37.3%) and 47 Blue marks, Small Road prints 27 Red (38.6%) and 43 Blue marks, and Cockroach Pig prints 44 Red (66.7%) and 22 Blue marks.

At the DSC14 cut card after Hand #82, probing Hand #83 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP BLUE and Player → BEB RED / SR RED / CP RED for DSC14.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC14 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC14, 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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