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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC06 (SEED 204506)

Ascending Staircase Shoe ASC06: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC06 (seed 204506) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 71 dealt 8-deck hands (30 Banker, 37 Player, 4 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B) and generate 62 Big Eye Boy marks (21R/41B), 61 Small Road marks (23R/38B), and 59 Cockroach Pig marks (40R/19B).

Verified 8-Deck Hands
71 (ASC06)
Outcome Split
30B / 37P / 4T
Peak Streaks
5B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 71 Hands

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

ASC06 (seed 204506): 71 hands (30B / 37P / 4T), peak streaks 5B & 4P across 28 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)
ASC06 Big Eye Boy Entry #8

This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).

  1. Column 5 goes down to Row 3, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

ASC06 Small Road Entry #2

Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

ASC06 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

ASC06 8-Deck Hand Distribution
71 Hands (30 Banker / 37 Player / 4 Tie)

Seed 204506 opening column signature: C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B.

ASC06 Big Road Span & Max Streaks
Max 5B / Max 4P Across 28 Logical Cols (28 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.

ASC06 Big Eye Boy Rule Breakdown
62 Marks (21R / 41B · 33.9% Red across 37 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

ASC06 Small Road & Cockroach Pig Tally
SR: 23R/38B (37.7% Red) · CP: 40R/19B (67.8% 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).

ASC06 Hand #72 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #71 of ASC06.

ASC06 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC06 Scoreboard Structure: C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:1B

In catalog shoe ASC06 (seed 204506), 71 total hands resolve into 30 Banker wins, 37 Player wins, and 4 Ties across 28 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 ASC06 column by column shows peak runs of 5B and 4P spreading across 28 Big Road display columns: ASC06 records 26 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 36 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC06 (Seed 204506)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC06-C01 (H1–H4)4P (PPPP) [ASC06]0B/4P (+0T @ASC06-C1)ASC06 Row4 Stop (Col1)NextColVsASC06-C1: 4v4
ASC06-C02 (H5–H6)1B (B) [ASC06]1B/4P (+1T @ASC06-C2)ASC06 Row1 Stop (Col2)NextColVsASC06-C1: 1v4
ASC06-C03 (H7–H8)2P (PP) [ASC06]1B/6P (+0T @ASC06-C3)ASC06 Row2 Stop (Col3)NextColVsASC06-C2: 2v1
ASC06-C04 (H9–H11)3B (BBB) [ASC06]4B/6P (+0T @ASC06-C4)ASC06 Row3 Stop (Col4)NextColVsASC06-C3: 3v2
ASC06-C05 (H12–H15)4P (PPPP) [ASC06]4B/10P (+0T @ASC06-C5)ASC06 Row4 Stop (Col5)NextColVsASC06-C4: 4v3
ASC06-C06 (H16–H21)5B (BBBBB) [ASC06]9B/10P (+1T @ASC06-C6)ASC06 Row5 Stop (Col6)NextColVsASC06-C5: 5v4
ASC06-C07 (H22–H23)2P (PP) [ASC06]9B/12P (+0T @ASC06-C7)ASC06 Row2 Stop (Col7)NextColVsASC06-C6: 2v5
ASC06-C08 (H24–H24)1B (B) [ASC06]10B/12P (+0T @ASC06-C8)ASC06 Row1 Stop (Col8)NextColVsASC06-C7: 1v2
ASC06-C09 (H25–H27)3P (PPP) [ASC06]10B/15P (+0T @ASC06-C9)ASC06 Row3 Stop (Col9)NextColVsASC06-C8: 3v1
ASC06-C10 (H28–H29)2B (BB) [ASC06]12B/15P (+0T @ASC06-C10)ASC06 Row2 Stop (Col10)NextColVsASC06-C9: 2v3
  • ASC06 BEB #8 (RED): verified at ASC06 lookback-1 index 7 (21R/41B total).
  • ASC06 SR #2 (BLUE): verified at ASC06 lookback-2 index 1 (23R/38B total).
  • ASC06 CP #2 (RED): verified at ASC06 lookback-3 index 1 (40R/19B total).
ASC06 DERIVED-ROAD & CUT-CARD PROBE

ASC06 Lookback Split (21R/41B BEB · 23R/38B SR · 40R/19B 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 ASC06, Big Eye Boy prints 21 Red (33.9%) and 41 Blue marks, Small Road prints 23 Red (37.7%) and 38 Blue marks, and Cockroach Pig prints 40 Red (67.8%) and 19 Blue marks.

At the ASC06 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for ASC06.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC06 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 ASC06, 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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