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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC34 (SEED 204534)

Ascending Staircase Shoe ASC34: 67-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC34 (seed 204534) 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 (29 Banker, 31 Player, 7 Tie). Its 24 logical Big Road columns occupy 24 display columns (C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:4B) and generate 57 Big Eye Boy marks (22R/35B), 56 Small Road marks (26R/30B), and 54 Cockroach Pig marks (37R/17B).

Verified 8-Deck Hands
67 (ASC34)
Outcome Split
29B / 31P / 7T
Peak Streaks
5B · 6P
Big Road Columns
24 Cols
Engine-Verified Scoreboard · 67 Hands

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

ASC34 (seed 204534): 67 hands (29B / 31P / 7T), peak streaks 5B & 6P 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)
ASC34 Big Eye Boy Entry #6

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

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

ASC34 Small Road Entry #5

Column 4 has 3 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 3 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.

ASC34 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

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

ASC34 8-Deck Hand Distribution
67 Hands (29 Banker / 31 Player / 7 Tie)

Seed 204534 opening column signature: C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:4B.

ASC34 Big Road Span & Max Streaks
Max 5B / Max 6P 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.

ASC34 Big Eye Boy Rule Breakdown
57 Marks (22R / 35B · 38.6% Red across 28 Display Cols)

Rule 1: 22 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

ASC34 Small Road & Cockroach Pig Tally
SR: 26R/30B (46.4% Red) · CP: 37R/17B (68.5% 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).

ASC34 Hand #68 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #67 of ASC34.

ASC34 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC34 Scoreboard Structure: C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:4B

In catalog shoe ASC34 (seed 204534), 67 total hands resolve into 29 Banker wins, 31 Player wins, and 7 Ties across 24 logical columns (C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:4B). 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 ASC34 column by column shows peak runs of 5B and 6P spreading across 24 Big Road display columns: ASC34 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 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC34 (Seed 204534)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC34-C01 (H1–H2)2P (PP) [ASC34]0B/2P (+0T @ASC34-C1)ASC34 Row2 Stop (Col1)NextColVsASC34-C1: 2v2
ASC34-C02 (H3–H3)1B (B) [ASC34]1B/2P (+0T @ASC34-C2)ASC34 Row1 Stop (Col2)NextColVsASC34-C1: 1v2
ASC34-C03 (H4–H6)2P (PP) [ASC34]1B/4P (+1T @ASC34-C3)ASC34 Row2 Stop (Col3)NextColVsASC34-C2: 2v1
ASC34-C04 (H7–H9)3B (BBB) [ASC34]4B/4P (+0T @ASC34-C4)ASC34 Row3 Stop (Col4)NextColVsASC34-C3: 3v2
ASC34-C05 (H10–H14)4P (PPPP) [ASC34]4B/8P (+1T @ASC34-C5)ASC34 Row4 Stop (Col5)NextColVsASC34-C4: 4v3
ASC34-C06 (H15–H19)5B (BBBBB) [ASC34]9B/8P (+0T @ASC34-C6)ASC34 Row5 Stop (Col6)NextColVsASC34-C5: 5v4
ASC34-C07 (H20–H26)6P (PPPPPP) [ASC34]9B/14P (+1T @ASC34-C7)ASC34 Row6 Stop (Col7)NextColVsASC34-C6: 6v5
ASC34-C08 (H27–H31)4B (BBBB) [ASC34]13B/14P (+1T @ASC34-C8)ASC34 Row4 Stop (Col8)NextColVsASC34-C7: 4v6
ASC34-C09 (H32–H32)1P (P) [ASC34]13B/15P (+0T @ASC34-C9)ASC34 Row1 Stop (Col9)NextColVsASC34-C8: 1v4
ASC34-C10 (H33–H34)2B (BB) [ASC34]15B/15P (+0T @ASC34-C10)ASC34 Row2 Stop (Col10)NextColVsASC34-C9: 2v1
  • ASC34 BEB #6 (BLUE): verified at ASC34 lookback-1 index 5 (22R/35B total).
  • ASC34 SR #5 (BLUE): verified at ASC34 lookback-2 index 4 (26R/30B total).
  • ASC34 CP #2 (BLUE): verified at ASC34 lookback-3 index 1 (37R/17B total).
ASC34 DERIVED-ROAD & CUT-CARD PROBE

ASC34 Lookback Split (22R/35B BEB · 26R/30B SR · 37R/17B 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 ASC34, Big Eye Boy prints 22 Red (38.6%) and 35 Blue marks, Small Road prints 26 Red (46.4%) and 30 Blue marks, and Cockroach Pig prints 37 Red (68.5%) and 17 Blue marks.

At the ASC34 cut card after Hand #67, probing Hand #68 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC34.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC34 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 ASC34, 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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