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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC08 (SEED 204508)

Ascending Staircase Shoe ASC08: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC08 (seed 204508) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 81 dealt 8-deck hands (39 Banker, 36 Player, 6 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 71 Big Eye Boy marks (25R/46B), 68 Small Road marks (26R/42B), and 67 Cockroach Pig marks (46R/21B).

Verified 8-Deck Hands
81 (ASC08)
Outcome Split
39B / 36P / 6T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 81 Hands

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

ASC08 (seed 204508): 81 hands (39B / 36P / 6T), 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)
ASC08 Big Eye Boy Entry #4

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

ASC08 Small Road Entry #4

Column 5 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

ASC08 Cockroach Pig Entry #4

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC08 8-Deck Hand Distribution
81 Hands (39 Banker / 36 Player / 6 Tie)

Seed 204508 opening column signature: C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC08 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.

ASC08 Big Eye Boy Rule Breakdown
71 Marks (25R / 46B · 35.2% Red across 39 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 41.

ASC08 Small Road & Cockroach Pig Tally
SR: 26R/42B (38.2% Red) · CP: 46R/21B (68.7% 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).

ASC08 Hand #82 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #81 of ASC08.

ASC08 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC08 Scoreboard Structure: C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC08 (seed 204508), 81 total hands resolve into 39 Banker wins, 36 Player wins, and 6 Ties across 32 logical columns (C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B). 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 ASC08 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: ASC08 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 41 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC08 (Seed 204508)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC08-C01 (H1–H3)3P (PPP) [ASC08]0B/3P (+0T @ASC08-C1)ASC08 Row3 Stop (Col1)NextColVsASC08-C1: 3v3
ASC08-C02 (H4–H6)3B (BBB) [ASC08]3B/3P (+0T @ASC08-C2)ASC08 Row3 Stop (Col2)NextColVsASC08-C1: 3v3
ASC08-C03 (H7–H8)1P (P) [ASC08]3B/4P (+1T @ASC08-C3)ASC08 Row1 Stop (Col3)NextColVsASC08-C2: 1v3
ASC08-C04 (H9–H9)1B (B) [ASC08]4B/4P (+0T @ASC08-C4)ASC08 Row1 Stop (Col4)NextColVsASC08-C3: 1v1
ASC08-C05 (H10–H11)2P (PP) [ASC08]4B/6P (+0T @ASC08-C5)ASC08 Row2 Stop (Col5)NextColVsASC08-C4: 2v1
ASC08-C06 (H12–H14)3B (BBB) [ASC08]7B/6P (+0T @ASC08-C6)ASC08 Row3 Stop (Col6)NextColVsASC08-C5: 3v2
ASC08-C07 (H15–H19)4P (PPPP) [ASC08]7B/10P (+1T @ASC08-C7)ASC08 Row4 Stop (Col7)NextColVsASC08-C6: 4v3
ASC08-C08 (H20–H24)5B (BBBBB) [ASC08]12B/10P (+0T @ASC08-C8)ASC08 Row5 Stop (Col8)NextColVsASC08-C7: 5v4
ASC08-C09 (H25–H26)2P (PP) [ASC08]12B/12P (+0T @ASC08-C9)ASC08 Row2 Stop (Col9)NextColVsASC08-C8: 2v5
ASC08-C10 (H27–H30)3B (BBB) [ASC08]15B/12P (+1T @ASC08-C10)ASC08 Row3 Stop (Col10)NextColVsASC08-C9: 3v2
  • ASC08 BEB #4 (BLUE): verified at ASC08 lookback-1 index 3 (25R/46B total).
  • ASC08 SR #4 (BLUE): verified at ASC08 lookback-2 index 3 (26R/42B total).
  • ASC08 CP #4 (BLUE): verified at ASC08 lookback-3 index 3 (46R/21B total).
ASC08 DERIVED-ROAD & CUT-CARD PROBE

ASC08 Lookback Split (25R/46B BEB · 26R/42B SR · 46R/21B 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 ASC08, Big Eye Boy prints 25 Red (35.2%) and 46 Blue marks, Small Road prints 26 Red (38.2%) and 42 Blue marks, and Cockroach Pig prints 46 Red (68.7%) and 21 Blue marks.

At the ASC08 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for ASC08.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC08 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 ASC08, 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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