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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC27 (SEED 204527)

Ascending Staircase Shoe ASC27: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC27 (seed 204527) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 68 dealt 8-deck hands (35 Banker, 28 Player, 5 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P) and generate 59 Big Eye Boy marks (21R/38B), 58 Small Road marks (22R/36B), and 57 Cockroach Pig marks (39R/18B).

Verified 8-Deck Hands
68 (ASC27)
Outcome Split
35B / 28P / 5T
Peak Streaks
5B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 68 Hands

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

ASC27 (seed 204527): 68 hands (35B / 28P / 5T), peak streaks 5B & 4P 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)
ASC27 Big Eye Boy Entry #5

This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

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

ASC27 Small Road Entry #3

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

ASC27 Cockroach Pig Entry #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

ASC27 8-Deck Hand Distribution
68 Hands (35 Banker / 28 Player / 5 Tie)

Seed 204527 opening column signature: C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P.

ASC27 Big Road Span & Max Streaks
Max 5B / Max 4P 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.

ASC27 Big Eye Boy Rule Breakdown
59 Marks (21R / 38B · 35.6% Red across 34 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

ASC27 Small Road & Cockroach Pig Tally
SR: 22R/36B (37.9% Red) · CP: 39R/18B (68.4% 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).

ASC27 Hand #69 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #68 of ASC27.

ASC27 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC27 Scoreboard Structure: C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P

In catalog shoe ASC27 (seed 204527), 68 total hands resolve into 35 Banker wins, 28 Player wins, and 5 Ties across 27 logical columns (C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P). 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 ASC27 column by column shows peak runs of 5B and 4P spreading across 27 Big Road display columns: ASC27 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 34 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC27 (Seed 204527)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC27-C01 (H1–H3)3B (BBB) [ASC27]3B/0P (+0T @ASC27-C1)ASC27 Row3 Stop (Col1)NextColVsASC27-C1: 3v3
ASC27-C02 (H4–H4)1P (P) [ASC27]3B/1P (+0T @ASC27-C2)ASC27 Row1 Stop (Col2)NextColVsASC27-C1: 1v3
ASC27-C03 (H5–H5)1B (B) [ASC27]4B/1P (+0T @ASC27-C3)ASC27 Row1 Stop (Col3)NextColVsASC27-C2: 1v1
ASC27-C04 (H6–H8)2P (PP) [ASC27]4B/3P (+1T @ASC27-C4)ASC27 Row2 Stop (Col4)NextColVsASC27-C3: 2v1
ASC27-C05 (H9–H11)3B (BBB) [ASC27]7B/3P (+0T @ASC27-C5)ASC27 Row3 Stop (Col5)NextColVsASC27-C4: 3v2
ASC27-C06 (H12–H15)4P (PPPP) [ASC27]7B/7P (+0T @ASC27-C6)ASC27 Row4 Stop (Col6)NextColVsASC27-C5: 4v3
ASC27-C07 (H16–H21)5B (BBBBB) [ASC27]12B/7P (+1T @ASC27-C7)ASC27 Row5 Stop (Col7)NextColVsASC27-C6: 5v4
ASC27-C08 (H22–H24)3P (PPP) [ASC27]12B/10P (+0T @ASC27-C8)ASC27 Row3 Stop (Col8)NextColVsASC27-C7: 3v5
ASC27-C09 (H25–H26)2B (BB) [ASC27]14B/10P (+0T @ASC27-C9)ASC27 Row2 Stop (Col9)NextColVsASC27-C8: 2v3
ASC27-C10 (H27–H27)1P (P) [ASC27]14B/11P (+0T @ASC27-C10)ASC27 Row1 Stop (Col10)NextColVsASC27-C9: 1v2
  • ASC27 BEB #5 (RED): verified at ASC27 lookback-1 index 4 (21R/38B total).
  • ASC27 SR #3 (BLUE): verified at ASC27 lookback-2 index 2 (22R/36B total).
  • ASC27 CP #3 (BLUE): verified at ASC27 lookback-3 index 2 (39R/18B total).
ASC27 DERIVED-ROAD & CUT-CARD PROBE

ASC27 Lookback Split (21R/38B BEB · 22R/36B SR · 39R/18B 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 ASC27, Big Eye Boy prints 21 Red (35.6%) and 38 Blue marks, Small Road prints 22 Red (37.9%) and 36 Blue marks, and Cockroach Pig prints 39 Red (68.4%) and 18 Blue marks.

At the ASC27 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for ASC27.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC27 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 ASC27, 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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