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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC38 (SEED 204538)

Ascending Staircase Shoe ASC38: 69-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC38 (seed 204538) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 69 dealt 8-deck hands (29 Banker, 34 Player, 6 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B) and generate 58 Big Eye Boy marks (19R/39B), 57 Small Road marks (21R/36B), and 55 Cockroach Pig marks (38R/17B).

Verified 8-Deck Hands
69 (ASC38)
Outcome Split
29B / 34P / 6T
Peak Streaks
5B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 69 Hands

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

ASC38 (seed 204538): 69 hands (29B / 34P / 6T), 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)
ASC38 Big Eye Boy Entry #4

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

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

ASC38 Small Road Entry #4

This bead is at Row 3. Column 2 stopped at Row 1, more than one row above → red (=).

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

ASC38 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

ASC38 8-Deck Hand Distribution
69 Hands (29 Banker / 34 Player / 6 Tie)

Seed 204538 opening column signature: C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B.

ASC38 Big Road Span & Max Streaks
Max 5B / Max 4P Across 27 Logical Cols (27 Display Cols)

Because each staircase column is exactly one bead deeper than its predecessor, every column tip lands on Row (priorDepth + 1) while every new column compares unequal depths.

ASC38 Big Eye Boy Rule Breakdown
58 Marks (19R / 39B · 32.8% Red across 33 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

ASC38 Small Road & Cockroach Pig Tally
SR: 21R/36B (36.8% Red) · CP: 38R/17B (69.1% Red)

On Big Eye Boy (lookback 1), an ascending 1-2-3-4-5 sequence marks Blue (≠) at Row 1 of every new column (Rule 1) and Blue (≠) on the final bead of every column (Rule 2 Case 2).

ASC38 Hand #70 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #69 of ASC38.

ASC38 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC38 Scoreboard Structure: C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B

In catalog shoe ASC38 (seed 204538), 69 total hands resolve into 29 Banker wins, 34 Player wins, and 6 Ties across 27 logical columns (C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B). Because each staircase column is exactly one bead deeper than its predecessor, every column tip lands on Row (priorDepth + 1) while every new column compares unequal depths.

Tracking ASC38 column by column shows peak runs of 5B and 4P spreading across 27 Big Road display columns: ASC38 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 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC38 (Seed 204538)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC38-C01 (H1–H5)4P (PPPP) [ASC38]0B/4P (+1T @ASC38-C1)ASC38 Row4 Stop (Col1)NextColVsASC38-C1: 4v4
ASC38-C02 (H6–H6)1B (B) [ASC38]1B/4P (+0T @ASC38-C2)ASC38 Row1 Stop (Col2)NextColVsASC38-C1: 1v4
ASC38-C03 (H7–H8)2P (PP) [ASC38]1B/6P (+0T @ASC38-C3)ASC38 Row2 Stop (Col3)NextColVsASC38-C2: 2v1
ASC38-C04 (H9–H12)3B (BBB) [ASC38]4B/6P (+1T @ASC38-C4)ASC38 Row3 Stop (Col4)NextColVsASC38-C3: 3v2
ASC38-C05 (H13–H16)4P (PPPP) [ASC38]4B/10P (+0T @ASC38-C5)ASC38 Row4 Stop (Col5)NextColVsASC38-C4: 4v3
ASC38-C06 (H17–H22)5B (BBBBB) [ASC38]9B/10P (+1T @ASC38-C6)ASC38 Row5 Stop (Col6)NextColVsASC38-C5: 5v4
ASC38-C07 (H23–H24)2P (PP) [ASC38]9B/12P (+0T @ASC38-C7)ASC38 Row2 Stop (Col7)NextColVsASC38-C6: 2v5
ASC38-C08 (H25–H25)1B (B) [ASC38]10B/12P (+0T @ASC38-C8)ASC38 Row1 Stop (Col8)NextColVsASC38-C7: 1v2
ASC38-C09 (H26–H28)3P (PPP) [ASC38]10B/15P (+0T @ASC38-C9)ASC38 Row3 Stop (Col9)NextColVsASC38-C8: 3v1
ASC38-C10 (H29–H30)2B (BB) [ASC38]12B/15P (+0T @ASC38-C10)ASC38 Row2 Stop (Col10)NextColVsASC38-C9: 2v3
  • ASC38 BEB #4 (RED): verified at ASC38 lookback-1 index 3 (19R/39B total).
  • ASC38 SR #4 (RED): verified at ASC38 lookback-2 index 3 (21R/36B total).
  • ASC38 CP #2 (RED): verified at ASC38 lookback-3 index 1 (38R/17B total).
ASC38 DERIVED-ROAD & CUT-CARD PROBE

ASC38 Lookback Split (19R/39B BEB · 21R/36B SR · 38R/17B CP)

On Big Eye Boy (lookback 1), an ascending 1-2-3-4-5 sequence marks Blue (≠) at Row 1 of every new column (Rule 1) and Blue (≠) on the final bead of every column (Rule 2 Case 2). Across ASC38, Big Eye Boy prints 19 Red (32.8%) and 39 Blue marks, Small Road prints 21 Red (36.8%) and 36 Blue marks, and Cockroach Pig prints 38 Red (69.1%) and 17 Blue marks.

At the ASC38 cut card after Hand #69, probing Hand #70 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC38.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC38 is a neat visual staircase, Big Eye Boy marks solid Red from start to finish.
TruthBig Eye Boy tests depth equality, not arithmetic progression; in ASC38, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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