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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC05 (SEED 204505)

Ascending Staircase Shoe ASC05: 66-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC05 (seed 204505) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 66 dealt 8-deck hands (28 Banker, 30 Player, 8 Tie). Its 24 logical Big Road columns occupy 24 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:4P · C7:1B · C8:3P) and generate 56 Big Eye Boy marks (20R/36B), 54 Small Road marks (24R/30B), and 51 Cockroach Pig marks (35R/16B).

Verified 8-Deck Hands
66 (ASC05)
Outcome Split
28B / 30P / 8T
Peak Streaks
5B · 4P
Big Road Columns
24 Cols
Engine-Verified Scoreboard · 66 Hands

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

ASC05 (seed 204505): 66 hands (28B / 30P / 8T), peak streaks 5B & 4P across 24 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)
ASC05 Big Eye Boy Entry #7

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 has a bead at Row 3 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.

ASC05 Small Road Entry #6

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  1. Column 4 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, more than one row above → 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.

ASC05 Cockroach Pig Entry #1

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC05 8-Deck Hand Distribution
66 Hands (28 Banker / 30 Player / 8 Tie)

Seed 204505 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:4P · C7:1B · C8:3P.

ASC05 Big Road Span & Max Streaks
Max 5B / Max 4P Across 24 Logical Cols (24 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.

ASC05 Big Eye Boy Rule Breakdown
56 Marks (20R / 36B · 35.7% Red across 30 Display Cols)

Rule 1: 22 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

ASC05 Small Road & Cockroach Pig Tally
SR: 24R/30B (44.4% Red) · CP: 35R/16B (68.6% 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).

ASC05 Hand #67 Next-Hand Probe
If B → BEB blue, SR blue, CP blue | If P → BEB red, SR red, CP red

Computed by getNextRoadPredictions() after Hand #66 of ASC05.

ASC05 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC05 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:4P · C7:1B · C8:3P

In catalog shoe ASC05 (seed 204505), 66 total hands resolve into 28 Banker wins, 30 Player wins, and 8 Ties across 24 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:4P · C7:1B · 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 ASC05 column by column shows peak runs of 5B and 4P spreading across 24 Big Road display columns: ASC05 records 22 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 ASC05 (Seed 204505)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC05-C01 (H1–H1)1B (B) [ASC05]1B/0P (+0T @ASC05-C1)ASC05 Row1 Stop (Col1)NextColVsASC05-C1: 1v1
ASC05-C02 (H2–H3)2P (PP) [ASC05]1B/2P (+0T @ASC05-C2)ASC05 Row2 Stop (Col2)NextColVsASC05-C1: 2v1
ASC05-C03 (H4–H7)3B (BBB) [ASC05]4B/2P (+1T @ASC05-C3)ASC05 Row3 Stop (Col3)NextColVsASC05-C2: 3v2
ASC05-C04 (H8–H12)4P (PPPP) [ASC05]4B/6P (+1T @ASC05-C4)ASC05 Row4 Stop (Col4)NextColVsASC05-C3: 4v3
ASC05-C05 (H13–H17)5B (BBBBB) [ASC05]9B/6P (+0T @ASC05-C5)ASC05 Row5 Stop (Col5)NextColVsASC05-C4: 5v4
ASC05-C06 (H18–H22)4P (PPPP) [ASC05]9B/10P (+1T @ASC05-C6)ASC05 Row4 Stop (Col6)NextColVsASC05-C5: 4v5
ASC05-C07 (H23–H23)1B (B) [ASC05]10B/10P (+0T @ASC05-C7)ASC05 Row1 Stop (Col7)NextColVsASC05-C6: 1v4
ASC05-C08 (H24–H27)3P (PPP) [ASC05]10B/13P (+1T @ASC05-C8)ASC05 Row3 Stop (Col8)NextColVsASC05-C7: 3v1
ASC05-C09 (H28–H29)2B (BB) [ASC05]12B/13P (+0T @ASC05-C9)ASC05 Row2 Stop (Col9)NextColVsASC05-C8: 2v3
ASC05-C10 (H30–H30)1P (P) [ASC05]12B/14P (+0T @ASC05-C10)ASC05 Row1 Stop (Col10)NextColVsASC05-C9: 1v2
  • ASC05 BEB #7 (RED): verified at ASC05 lookback-1 index 6 (20R/36B total).
  • ASC05 SR #6 (RED): verified at ASC05 lookback-2 index 5 (24R/30B total).
  • ASC05 CP #1 (BLUE): verified at ASC05 lookback-3 index 0 (35R/16B total).
ASC05 DERIVED-ROAD & CUT-CARD PROBE

ASC05 Lookback Split (20R/36B BEB · 24R/30B SR · 35R/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 ASC05, Big Eye Boy prints 20 Red (35.7%) and 36 Blue marks, Small Road prints 24 Red (44.4%) and 30 Blue marks, and Cockroach Pig prints 35 Red (68.6%) and 16 Blue marks.

At the ASC05 cut card after Hand #66, probing Hand #67 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP BLUE and Player → BEB RED / SR RED / CP RED for ASC05.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC05 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 ASC05, 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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