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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC02 (SEED 204502)

Ascending Staircase Shoe ASC02: 69-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC02 (seed 204502) 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 (31 Banker, 33 Player, 5 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B) and generate 61 Big Eye Boy marks (20R/41B), 60 Small Road marks (26R/34B), and 58 Cockroach Pig marks (38R/20B).

Verified 8-Deck Hands
69 (ASC02)
Outcome Split
31B / 33P / 5T
Peak Streaks
5B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 69 Hands

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

ASC02 (seed 204502): 69 hands (31B / 33P / 5T), 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)
ASC02 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.

ASC02 Small Road Entry #3

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

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

ASC02 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  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 2, 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

ASC02 8-Deck Hand Distribution
69 Hands (31 Banker / 33 Player / 5 Tie)

Seed 204502 opening column signature: C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B.

ASC02 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.

ASC02 Big Eye Boy Rule Breakdown
61 Marks (20R / 41B · 32.8% Red across 31 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

ASC02 Small Road & Cockroach Pig Tally
SR: 26R/34B (43.3% Red) · CP: 38R/20B (65.5% 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).

ASC02 Hand #70 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #69 of ASC02.

ASC02 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC02 Scoreboard Structure: C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B

In catalog shoe ASC02 (seed 204502), 69 total hands resolve into 31 Banker wins, 33 Player wins, and 5 Ties across 28 logical columns (C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · 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 ASC02 column by column shows peak runs of 5B and 4P spreading across 28 Big Road display columns: ASC02 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 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC02 (Seed 204502)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC02-C01 (H1–H3)2P (PP) [ASC02]0B/2P (+1T @ASC02-C1)ASC02 Row2 Stop (Col1)NextColVsASC02-C1: 2v2
ASC02-C02 (H4–H4)1B (B) [ASC02]1B/2P (+0T @ASC02-C2)ASC02 Row1 Stop (Col2)NextColVsASC02-C1: 1v2
ASC02-C03 (H5–H6)2P (PP) [ASC02]1B/4P (+0T @ASC02-C3)ASC02 Row2 Stop (Col3)NextColVsASC02-C2: 2v1
ASC02-C04 (H7–H9)3B (BBB) [ASC02]4B/4P (+0T @ASC02-C4)ASC02 Row3 Stop (Col4)NextColVsASC02-C3: 3v2
ASC02-C05 (H10–H14)4P (PPPP) [ASC02]4B/8P (+1T @ASC02-C5)ASC02 Row4 Stop (Col5)NextColVsASC02-C4: 4v3
ASC02-C06 (H15–H19)5B (BBBBB) [ASC02]9B/8P (+0T @ASC02-C6)ASC02 Row5 Stop (Col6)NextColVsASC02-C5: 5v4
ASC02-C07 (H20–H24)4P (PPPP) [ASC02]9B/12P (+1T @ASC02-C7)ASC02 Row4 Stop (Col7)NextColVsASC02-C6: 4v5
ASC02-C08 (H25–H25)1B (B) [ASC02]10B/12P (+0T @ASC02-C8)ASC02 Row1 Stop (Col8)NextColVsASC02-C7: 1v4
ASC02-C09 (H26–H27)2P (PP) [ASC02]10B/14P (+0T @ASC02-C9)ASC02 Row2 Stop (Col9)NextColVsASC02-C8: 2v1
ASC02-C10 (H28–H30)3B (BBB) [ASC02]13B/14P (+0T @ASC02-C10)ASC02 Row3 Stop (Col10)NextColVsASC02-C9: 3v2
  • ASC02 BEB #4 (RED): verified at ASC02 lookback-1 index 3 (20R/41B total).
  • ASC02 SR #3 (BLUE): verified at ASC02 lookback-2 index 2 (26R/34B total).
  • ASC02 CP #2 (BLUE): verified at ASC02 lookback-3 index 1 (38R/20B total).
ASC02 DERIVED-ROAD & CUT-CARD PROBE

ASC02 Lookback Split (20R/41B BEB · 26R/34B SR · 38R/20B 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 ASC02, Big Eye Boy prints 20 Red (32.8%) and 41 Blue marks, Small Road prints 26 Red (43.3%) and 34 Blue marks, and Cockroach Pig prints 38 Red (65.5%) and 20 Blue marks.

At the ASC02 cut card after Hand #69, probing Hand #70 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC02.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC02 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 ASC02, 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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