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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC12 (SEED 204512)

Ascending Staircase Shoe ASC12: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC12 (seed 204512) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 65 dealt 8-deck hands (29 Banker, 31 Player, 5 Tie). Its 26 logical Big Road columns occupy 26 display columns (C1:2P · C2:2B · C3:2P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 57 Big Eye Boy marks (22R/35B), 55 Small Road marks (25R/30B), and 53 Cockroach Pig marks (37R/16B).

Verified 8-Deck Hands
65 (ASC12)
Outcome Split
29B / 31P / 5T
Peak Streaks
5B · 4P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 65 Hands

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

ASC12 (seed 204512): 65 hands (29B / 31P / 5T), peak streaks 5B & 4P across 26 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)
ASC12 Big Eye Boy Entry #8

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 1 column back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

ASC12 Small Road Entry #3

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

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

ASC12 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

ASC12 8-Deck Hand Distribution
65 Hands (29 Banker / 31 Player / 5 Tie)

Seed 204512 opening column signature: C1:2P · C2:2B · C3:2P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC12 Big Road Span & Max Streaks
Max 5B / Max 4P Across 26 Logical Cols (26 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.

ASC12 Big Eye Boy Rule Breakdown
57 Marks (22R / 35B · 38.6% Red across 30 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

ASC12 Small Road & Cockroach Pig Tally
SR: 25R/30B (45.5% Red) · CP: 37R/16B (69.8% 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).

ASC12 Hand #66 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #65 of ASC12.

ASC12 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC12 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC12 (seed 204512), 65 total hands resolve into 29 Banker wins, 31 Player wins, and 5 Ties across 26 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 ASC12 column by column shows peak runs of 5B and 4P spreading across 26 Big Road display columns: ASC12 records 24 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC12 (Seed 204512)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC12-C01 (H1–H3)2P (PP) [ASC12]0B/2P (+1T @ASC12-C1)ASC12 Row2 Stop (Col1)NextColVsASC12-C1: 2v2
ASC12-C02 (H4–H5)2B (BB) [ASC12]2B/2P (+0T @ASC12-C2)ASC12 Row2 Stop (Col2)NextColVsASC12-C1: 2v2
ASC12-C03 (H6–H7)2P (PP) [ASC12]2B/4P (+0T @ASC12-C3)ASC12 Row2 Stop (Col3)NextColVsASC12-C2: 2v2
ASC12-C04 (H8–H8)1B (B) [ASC12]3B/4P (+0T @ASC12-C4)ASC12 Row1 Stop (Col4)NextColVsASC12-C3: 1v2
ASC12-C05 (H9–H10)2P (PP) [ASC12]3B/6P (+0T @ASC12-C5)ASC12 Row2 Stop (Col5)NextColVsASC12-C4: 2v1
ASC12-C06 (H11–H14)3B (BBB) [ASC12]6B/6P (+1T @ASC12-C6)ASC12 Row3 Stop (Col6)NextColVsASC12-C5: 3v2
ASC12-C07 (H15–H18)4P (PPPP) [ASC12]6B/10P (+0T @ASC12-C7)ASC12 Row4 Stop (Col7)NextColVsASC12-C6: 4v3
ASC12-C08 (H19–H24)5B (BBBBB) [ASC12]11B/10P (+1T @ASC12-C8)ASC12 Row5 Stop (Col8)NextColVsASC12-C7: 5v4
ASC12-C09 (H25–H27)3P (PPP) [ASC12]11B/13P (+0T @ASC12-C9)ASC12 Row3 Stop (Col9)NextColVsASC12-C8: 3v5
ASC12-C10 (H28–H29)2B (BB) [ASC12]13B/13P (+0T @ASC12-C10)ASC12 Row2 Stop (Col10)NextColVsASC12-C9: 2v3
  • ASC12 BEB #8 (RED): verified at ASC12 lookback-1 index 7 (22R/35B total).
  • ASC12 SR #3 (BLUE): verified at ASC12 lookback-2 index 2 (25R/30B total).
  • ASC12 CP #4 (RED): verified at ASC12 lookback-3 index 3 (37R/16B total).
ASC12 DERIVED-ROAD & CUT-CARD PROBE

ASC12 Lookback Split (22R/35B BEB · 25R/30B SR · 37R/16B 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 ASC12, Big Eye Boy prints 22 Red (38.6%) and 35 Blue marks, Small Road prints 25 Red (45.5%) and 30 Blue marks, and Cockroach Pig prints 37 Red (69.8%) and 16 Blue marks.

At the ASC12 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for ASC12.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC12 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 ASC12, 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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