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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC28 (SEED 204528)

Ascending Staircase Shoe ASC28: 73-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC28 (seed 204528) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 73 dealt 8-deck hands (32 Banker, 35 Player, 6 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:2P · C2:2B · C3:2P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 64 Big Eye Boy marks (27R/37B), 62 Small Road marks (29R/33B), and 60 Cockroach Pig marks (41R/19B).

Verified 8-Deck Hands
73 (ASC28)
Outcome Split
32B / 35P / 6T
Peak Streaks
5B · 6P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 73 Hands

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

ASC28 (seed 204528): 73 hands (32B / 35P / 6T), peak streaks 5B & 6P across 27 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)
ASC28 Big Eye Boy Entry #6

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

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

ASC28 Small Road Entry #4

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns 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.

ASC28 Cockroach Pig Entry #4

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns 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.

Verified Reference Data

Key Facts & Table Specifications

ASC28 8-Deck Hand Distribution
73 Hands (32 Banker / 35 Player / 6 Tie)

Seed 204528 opening column signature: C1:2P · C2:2B · C3:2P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC28 Big Road Span & Max Streaks
Max 5B / Max 6P Across 27 Logical Cols (27 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.

ASC28 Big Eye Boy Rule Breakdown
64 Marks (27R / 37B · 42.2% Red across 33 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

ASC28 Small Road & Cockroach Pig Tally
SR: 29R/33B (46.8% Red) · CP: 41R/19B (68.3% 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).

ASC28 Hand #74 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #73 of ASC28.

ASC28 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC28 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC28 (seed 204528), 73 total hands resolve into 32 Banker wins, 35 Player wins, and 6 Ties across 27 logical columns (C1:2P · C2:2B · C3:2P · 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 ASC28 column by column shows peak runs of 5B and 6P spreading across 27 Big Road display columns: ASC28 records 25 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 ASC28 (Seed 204528)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC28-C01 (H1–H2)2P (PP) [ASC28]0B/2P (+0T @ASC28-C1)ASC28 Row2 Stop (Col1)NextColVsASC28-C1: 2v2
ASC28-C02 (H3–H4)2B (BB) [ASC28]2B/2P (+0T @ASC28-C2)ASC28 Row2 Stop (Col2)NextColVsASC28-C1: 2v2
ASC28-C03 (H5–H6)2P (PP) [ASC28]2B/4P (+0T @ASC28-C3)ASC28 Row2 Stop (Col3)NextColVsASC28-C2: 2v2
ASC28-C04 (H7–H7)1B (B) [ASC28]3B/4P (+0T @ASC28-C4)ASC28 Row1 Stop (Col4)NextColVsASC28-C3: 1v2
ASC28-C05 (H8–H10)2P (PP) [ASC28]3B/6P (+1T @ASC28-C5)ASC28 Row2 Stop (Col5)NextColVsASC28-C4: 2v1
ASC28-C06 (H11–H13)3B (BBB) [ASC28]6B/6P (+0T @ASC28-C6)ASC28 Row3 Stop (Col6)NextColVsASC28-C5: 3v2
ASC28-C07 (H14–H17)4P (PPPP) [ASC28]6B/10P (+0T @ASC28-C7)ASC28 Row4 Stop (Col7)NextColVsASC28-C6: 4v3
ASC28-C08 (H18–H23)5B (BBBBB) [ASC28]11B/10P (+1T @ASC28-C8)ASC28 Row5 Stop (Col8)NextColVsASC28-C7: 5v4
ASC28-C09 (H24–H30)6P (PPPPPP) [ASC28]11B/16P (+1T @ASC28-C9)ASC28 Row6 Stop (Col9)NextColVsASC28-C8: 6v5
ASC28-C10 (H31–H33)3B (BBB) [ASC28]14B/16P (+0T @ASC28-C10)ASC28 Row3 Stop (Col10)NextColVsASC28-C9: 3v6
  • ASC28 BEB #6 (BLUE): verified at ASC28 lookback-1 index 5 (27R/37B total).
  • ASC28 SR #4 (RED): verified at ASC28 lookback-2 index 3 (29R/33B total).
  • ASC28 CP #4 (RED): verified at ASC28 lookback-3 index 3 (41R/19B total).
ASC28 DERIVED-ROAD & CUT-CARD PROBE

ASC28 Lookback Split (27R/37B BEB · 29R/33B SR · 41R/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 ASC28, Big Eye Boy prints 27 Red (42.2%) and 37 Blue marks, Small Road prints 29 Red (46.8%) and 33 Blue marks, and Cockroach Pig prints 41 Red (68.3%) and 19 Blue marks.

At the ASC28 cut card after Hand #73, probing Hand #74 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC28.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC28 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 ASC28, 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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