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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC29 (SEED 204529)

Ascending Staircase Shoe ASC29: 78-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC29 (seed 204529) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 78 dealt 8-deck hands (36 Banker, 35 Player, 7 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:2B · C8:3P) and generate 69 Big Eye Boy marks (20R/49B), 67 Small Road marks (25R/42B), and 64 Cockroach Pig marks (46R/18B).

Verified 8-Deck Hands
78 (ASC29)
Outcome Split
36B / 35P / 7T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 78 Hands

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

ASC29 (seed 204529): 78 hands (36B / 35P / 7T), peak streaks 5B & 4P across 32 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)
ASC29 Big Eye Boy Entry #7

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

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

ASC29 Small Road Entry #5

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  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 2, one row above → blue (≠).

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.

ASC29 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 stopped at Row 1, one row above → blue (≠).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 1, one row above → blue (≠).

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

ASC29 8-Deck Hand Distribution
78 Hands (36 Banker / 35 Player / 7 Tie)

Seed 204529 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:2B · C8:3P.

ASC29 Big Road Span & Max Streaks
Max 5B / Max 4P Across 32 Logical Cols (32 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.

ASC29 Big Eye Boy Rule Breakdown
69 Marks (20R / 49B · 29.0% Red across 35 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

ASC29 Small Road & Cockroach Pig Tally
SR: 25R/42B (37.3% Red) · CP: 46R/18B (71.9% 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).

ASC29 Hand #79 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #78 of ASC29.

ASC29 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC29 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:2B · C8:3P

In catalog shoe ASC29 (seed 204529), 78 total hands resolve into 36 Banker wins, 35 Player wins, and 7 Ties across 32 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:2B · C8:3P). 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 ASC29 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: ASC29 records 30 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 39 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC29 (Seed 204529)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC29-C01 (H1–H1)1B (B) [ASC29]1B/0P (+0T @ASC29-C1)ASC29 Row1 Stop (Col1)NextColVsASC29-C1: 1v1
ASC29-C02 (H2–H3)2P (PP) [ASC29]1B/2P (+0T @ASC29-C2)ASC29 Row2 Stop (Col2)NextColVsASC29-C1: 2v1
ASC29-C03 (H4–H7)3B (BBB) [ASC29]4B/2P (+1T @ASC29-C3)ASC29 Row3 Stop (Col3)NextColVsASC29-C2: 3v2
ASC29-C04 (H8–H11)4P (PPPP) [ASC29]4B/6P (+0T @ASC29-C4)ASC29 Row4 Stop (Col4)NextColVsASC29-C3: 4v3
ASC29-C05 (H12–H17)5B (BBBBB) [ASC29]9B/6P (+1T @ASC29-C5)ASC29 Row5 Stop (Col5)NextColVsASC29-C4: 5v4
ASC29-C06 (H18–H18)1P (P) [ASC29]9B/7P (+0T @ASC29-C6)ASC29 Row1 Stop (Col6)NextColVsASC29-C5: 1v5
ASC29-C07 (H19–H20)2B (BB) [ASC29]11B/7P (+0T @ASC29-C7)ASC29 Row2 Stop (Col7)NextColVsASC29-C6: 2v1
ASC29-C08 (H21–H24)3P (PPP) [ASC29]11B/10P (+1T @ASC29-C8)ASC29 Row3 Stop (Col8)NextColVsASC29-C7: 3v2
ASC29-C09 (H25–H25)1B (B) [ASC29]12B/10P (+0T @ASC29-C9)ASC29 Row1 Stop (Col9)NextColVsASC29-C8: 1v3
ASC29-C10 (H26–H27)2P (PP) [ASC29]12B/12P (+0T @ASC29-C10)ASC29 Row2 Stop (Col10)NextColVsASC29-C9: 2v1
  • ASC29 BEB #7 (RED): verified at ASC29 lookback-1 index 6 (20R/49B total).
  • ASC29 SR #5 (BLUE): verified at ASC29 lookback-2 index 4 (25R/42B total).
  • ASC29 CP #1 (BLUE): verified at ASC29 lookback-3 index 0 (46R/18B total).
ASC29 DERIVED-ROAD & CUT-CARD PROBE

ASC29 Lookback Split (20R/49B BEB · 25R/42B SR · 46R/18B 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 ASC29, Big Eye Boy prints 20 Red (29.0%) and 49 Blue marks, Small Road prints 25 Red (37.3%) and 42 Blue marks, and Cockroach Pig prints 46 Red (71.9%) and 18 Blue marks.

At the ASC29 cut card after Hand #78, probing Hand #79 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for ASC29.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC29 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 ASC29, 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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