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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC26 (SEED 204526)

Ascending Staircase Shoe ASC26: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC26 (seed 204526) 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 (38 Banker, 39 Player, 4 Tie). Its 34 logical Big Road columns occupy 34 display columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:4B) and generate 75 Big Eye Boy marks (26R/49B), 74 Small Road marks (28R/46B), and 72 Cockroach Pig marks (49R/23B).

Verified 8-Deck Hands
81 (ASC26)
Outcome Split
38B / 39P / 4T
Peak Streaks
5B · 4P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 81 Hands

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

ASC26 (seed 204526): 81 hands (38B / 39P / 4T), peak streaks 5B & 4P across 34 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)
ASC26 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.

ASC26 Small Road Entry #2

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

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

ASC26 Cockroach Pig Entry #2

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

  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 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC26 8-Deck Hand Distribution
81 Hands (38 Banker / 39 Player / 4 Tie)

Seed 204526 opening column signature: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:4B.

ASC26 Big Road Span & Max Streaks
Max 5B / Max 4P Across 34 Logical Cols (34 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.

ASC26 Big Eye Boy Rule Breakdown
75 Marks (26R / 49B · 34.7% Red across 46 Display Cols)

Rule 1: 32 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 43.

ASC26 Small Road & Cockroach Pig Tally
SR: 28R/46B (37.8% Red) · CP: 49R/23B (68.1% 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).

ASC26 Hand #82 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #81 of ASC26.

ASC26 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC26 Scoreboard Structure: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:4B

In catalog shoe ASC26 (seed 204526), 81 total hands resolve into 38 Banker wins, 39 Player wins, and 4 Ties across 34 logical columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:2P · C8:4B). 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 ASC26 column by column shows peak runs of 5B and 4P spreading across 34 Big Road display columns: ASC26 records 32 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 43 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC26 (Seed 204526)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC26-C01 (H1–H1)1P (P) [ASC26]0B/1P (+0T @ASC26-C1)ASC26 Row1 Stop (Col1)NextColVsASC26-C1: 1v1
ASC26-C02 (H2–H2)1B (B) [ASC26]1B/1P (+0T @ASC26-C2)ASC26 Row1 Stop (Col2)NextColVsASC26-C1: 1v1
ASC26-C03 (H3–H4)2P (PP) [ASC26]1B/3P (+0T @ASC26-C3)ASC26 Row2 Stop (Col3)NextColVsASC26-C2: 2v1
ASC26-C04 (H5–H7)3B (BBB) [ASC26]4B/3P (+0T @ASC26-C4)ASC26 Row3 Stop (Col4)NextColVsASC26-C3: 3v2
ASC26-C05 (H8–H12)4P (PPPP) [ASC26]4B/7P (+1T @ASC26-C5)ASC26 Row4 Stop (Col5)NextColVsASC26-C4: 4v3
ASC26-C06 (H13–H17)5B (BBBBB) [ASC26]9B/7P (+0T @ASC26-C6)ASC26 Row5 Stop (Col6)NextColVsASC26-C5: 5v4
ASC26-C07 (H18–H19)2P (PP) [ASC26]9B/9P (+0T @ASC26-C7)ASC26 Row2 Stop (Col7)NextColVsASC26-C6: 2v5
ASC26-C08 (H20–H23)4B (BBBB) [ASC26]13B/9P (+0T @ASC26-C8)ASC26 Row4 Stop (Col8)NextColVsASC26-C7: 4v2
ASC26-C09 (H24–H24)1P (P) [ASC26]13B/10P (+0T @ASC26-C9)ASC26 Row1 Stop (Col9)NextColVsASC26-C8: 1v4
ASC26-C10 (H25–H28)3B (BBB) [ASC26]16B/10P (+1T @ASC26-C10)ASC26 Row3 Stop (Col10)NextColVsASC26-C9: 3v1
  • ASC26 BEB #4 (RED): verified at ASC26 lookback-1 index 3 (26R/49B total).
  • ASC26 SR #2 (BLUE): verified at ASC26 lookback-2 index 1 (28R/46B total).
  • ASC26 CP #2 (RED): verified at ASC26 lookback-3 index 1 (49R/23B total).
ASC26 DERIVED-ROAD & CUT-CARD PROBE

ASC26 Lookback Split (26R/49B BEB · 28R/46B SR · 49R/23B 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 ASC26, Big Eye Boy prints 26 Red (34.7%) and 49 Blue marks, Small Road prints 28 Red (37.8%) and 46 Blue marks, and Cockroach Pig prints 49 Red (68.1%) and 23 Blue marks.

At the ASC26 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for ASC26.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC26 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 ASC26, 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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