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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC15 (SEED 204515)

Ascending Staircase Shoe ASC15: 80-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC15 (seed 204515) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 80 dealt 8-deck hands (37 Banker, 35 Player, 8 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:2B · C2:2P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:1P) and generate 69 Big Eye Boy marks (23R/46B), 67 Small Road marks (26R/41B), and 66 Cockroach Pig marks (45R/21B).

Verified 8-Deck Hands
80 (ASC15)
Outcome Split
37B / 35P / 8T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 80 Hands

Read the Board at Table Speed

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

ASC15 (seed 204515): 80 hands (37B / 35P / 8T), 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)
ASC15 Big Eye Boy Entry #5

Column 4 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

ASC15 Small Road Entry #6

Column 5 has 3 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 3 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.

ASC15 Cockroach Pig Entry #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC15 8-Deck Hand Distribution
80 Hands (37 Banker / 35 Player / 8 Tie)

Seed 204515 opening column signature: C1:2B · C2:2P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:1P.

ASC15 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.

ASC15 Big Eye Boy Rule Breakdown
69 Marks (23R / 46B · 33.3% Red across 38 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

ASC15 Small Road & Cockroach Pig Tally
SR: 26R/41B (38.8% Red) · CP: 45R/21B (68.2% 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).

ASC15 Hand #81 Next-Hand Probe
If B → BEB blue, SR red, CP blue | If P → BEB red, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #80 of ASC15.

ASC15 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC15 Scoreboard Structure: C1:2B · C2:2P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:1P

In catalog shoe ASC15 (seed 204515), 80 total hands resolve into 37 Banker wins, 35 Player wins, and 8 Ties across 32 logical columns (C1:2B · C2:2P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:1P). 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 ASC15 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: ASC15 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 39 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC15 (Seed 204515)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC15-C01 (H1–H2)2B (BB) [ASC15]2B/0P (+0T @ASC15-C1)ASC15 Row2 Stop (Col1)NextColVsASC15-C1: 2v2
ASC15-C02 (H3–H4)2P (PP) [ASC15]2B/2P (+0T @ASC15-C2)ASC15 Row2 Stop (Col2)NextColVsASC15-C1: 2v2
ASC15-C03 (H5–H5)1B (B) [ASC15]3B/2P (+0T @ASC15-C3)ASC15 Row1 Stop (Col3)NextColVsASC15-C2: 1v2
ASC15-C04 (H6–H8)2P (PP) [ASC15]3B/4P (+1T @ASC15-C4)ASC15 Row2 Stop (Col4)NextColVsASC15-C3: 2v1
ASC15-C05 (H9–H11)3B (BBB) [ASC15]6B/4P (+0T @ASC15-C5)ASC15 Row3 Stop (Col5)NextColVsASC15-C4: 3v2
ASC15-C06 (H12–H16)4P (PPPP) [ASC15]6B/8P (+1T @ASC15-C6)ASC15 Row4 Stop (Col6)NextColVsASC15-C5: 4v3
ASC15-C07 (H17–H21)5B (BBBBB) [ASC15]11B/8P (+0T @ASC15-C7)ASC15 Row5 Stop (Col7)NextColVsASC15-C6: 5v4
ASC15-C08 (H22–H22)1P (P) [ASC15]11B/9P (+0T @ASC15-C8)ASC15 Row1 Stop (Col8)NextColVsASC15-C7: 1v5
ASC15-C09 (H23–H25)2B (BB) [ASC15]13B/9P (+1T @ASC15-C9)ASC15 Row2 Stop (Col9)NextColVsASC15-C8: 2v1
ASC15-C10 (H26–H29)4P (PPPP) [ASC15]13B/13P (+0T @ASC15-C10)ASC15 Row4 Stop (Col10)NextColVsASC15-C9: 4v2
  • ASC15 BEB #5 (BLUE): verified at ASC15 lookback-1 index 4 (23R/46B total).
  • ASC15 SR #6 (BLUE): verified at ASC15 lookback-2 index 5 (26R/41B total).
  • ASC15 CP #3 (RED): verified at ASC15 lookback-3 index 2 (45R/21B total).
ASC15 DERIVED-ROAD & CUT-CARD PROBE

ASC15 Lookback Split (23R/46B BEB · 26R/41B SR · 45R/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 ASC15, Big Eye Boy prints 23 Red (33.3%) and 46 Blue marks, Small Road prints 26 Red (38.8%) and 41 Blue marks, and Cockroach Pig prints 45 Red (68.2%) and 21 Blue marks.

At the ASC15 cut card after Hand #80, probing Hand #81 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP BLUE and Player → BEB RED / SR BLUE / CP RED for ASC15.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC15 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 ASC15, 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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