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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC16 (SEED 204516)

Ascending Staircase Shoe ASC16: 67-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC16 (seed 204516) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 67 dealt 8-deck hands (30 Banker, 33 Player, 4 Tie). Its 25 logical Big Road columns occupy 25 display columns (C1:3P · C2:3B · C3:4P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 59 Big Eye Boy marks (23R/36B), 56 Small Road marks (23R/33B), and 52 Cockroach Pig marks (36R/16B).

Verified 8-Deck Hands
67 (ASC16)
Outcome Split
30B / 33P / 4T
Peak Streaks
5B · 6P
Big Road Columns
25 Cols
Engine-Verified Scoreboard · 67 Hands

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

ASC16 (seed 204516): 67 hands (30B / 33P / 4T), peak streaks 5B & 6P across 25 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)
ASC16 Big Eye Boy Entry #6

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

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

ASC16 Small Road Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

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

ASC16 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

ASC16 8-Deck Hand Distribution
67 Hands (30 Banker / 33 Player / 4 Tie)

Seed 204516 opening column signature: C1:3P · C2:3B · C3:4P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC16 Big Road Span & Max Streaks
Max 5B / Max 6P Across 25 Logical Cols (25 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.

ASC16 Big Eye Boy Rule Breakdown
59 Marks (23R / 36B · 39.0% Red across 26 Display Cols)

Rule 1: 23 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

ASC16 Small Road & Cockroach Pig Tally
SR: 23R/33B (41.1% Red) · CP: 36R/16B (69.2% 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).

ASC16 Hand #68 Next-Hand Probe
If B → BEB blue, SR red, CP blue | If P → BEB red, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #67 of ASC16.

ASC16 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC16 Scoreboard Structure: C1:3P · C2:3B · C3:4P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC16 (seed 204516), 67 total hands resolve into 30 Banker wins, 33 Player wins, and 4 Ties across 25 logical columns (C1:3P · C2:3B · C3:4P · 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 ASC16 column by column shows peak runs of 5B and 6P spreading across 25 Big Road display columns: ASC16 records 23 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 36 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC16 (Seed 204516)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC16-C01 (H1–H4)3P (PPP) [ASC16]0B/3P (+1T @ASC16-C1)ASC16 Row3 Stop (Col1)NextColVsASC16-C1: 3v3
ASC16-C02 (H5–H7)3B (BBB) [ASC16]3B/3P (+0T @ASC16-C2)ASC16 Row3 Stop (Col2)NextColVsASC16-C1: 3v3
ASC16-C03 (H8–H11)4P (PPPP) [ASC16]3B/7P (+0T @ASC16-C3)ASC16 Row4 Stop (Col3)NextColVsASC16-C2: 4v3
ASC16-C04 (H12–H12)1B (B) [ASC16]4B/7P (+0T @ASC16-C4)ASC16 Row1 Stop (Col4)NextColVsASC16-C3: 1v4
ASC16-C05 (H13–H14)2P (PP) [ASC16]4B/9P (+0T @ASC16-C5)ASC16 Row2 Stop (Col5)NextColVsASC16-C4: 2v1
ASC16-C06 (H15–H18)3B (BBB) [ASC16]7B/9P (+1T @ASC16-C6)ASC16 Row3 Stop (Col6)NextColVsASC16-C5: 3v2
ASC16-C07 (H19–H22)4P (PPPP) [ASC16]7B/13P (+0T @ASC16-C7)ASC16 Row4 Stop (Col7)NextColVsASC16-C6: 4v3
ASC16-C08 (H23–H27)5B (BBBBB) [ASC16]12B/13P (+0T @ASC16-C8)ASC16 Row5 Stop (Col8)NextColVsASC16-C7: 5v4
ASC16-C09 (H28–H34)6P (PPPPPP) [ASC16]12B/19P (+1T @ASC16-C9)ASC16 Row6 Stop (Col9)NextColVsASC16-C8: 6v5
ASC16-C10 (H35–H35)1B (B) [ASC16]13B/19P (+0T @ASC16-C10)ASC16 Row1 Stop (Col10)NextColVsASC16-C9: 1v6
  • ASC16 BEB #6 (BLUE): verified at ASC16 lookback-1 index 5 (23R/36B total).
  • ASC16 SR #2 (RED): verified at ASC16 lookback-2 index 1 (23R/33B total).
  • ASC16 CP #4 (RED): verified at ASC16 lookback-3 index 3 (36R/16B total).
ASC16 DERIVED-ROAD & CUT-CARD PROBE

ASC16 Lookback Split (23R/36B BEB · 23R/33B SR · 36R/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 ASC16, Big Eye Boy prints 23 Red (39.0%) and 36 Blue marks, Small Road prints 23 Red (41.1%) and 33 Blue marks, and Cockroach Pig prints 36 Red (69.2%) and 16 Blue marks.

At the ASC16 cut card after Hand #67, probing Hand #68 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP BLUE and Player → BEB RED / SR BLUE / CP RED for ASC16.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC16 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 ASC16, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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