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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC32 (SEED 204532)

Ascending Staircase Shoe ASC32: 75-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC32 (seed 204532) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 75 dealt 8-deck hands (33 Banker, 37 Player, 5 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:3P · C2:3B · C3:4P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 66 Big Eye Boy marks (24R/42B), 63 Small Road marks (24R/39B), and 59 Cockroach Pig marks (40R/19B).

Verified 8-Deck Hands
75 (ASC32)
Outcome Split
33B / 37P / 5T
Peak Streaks
5B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 75 Hands

Read the Board at Table Speed

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

ASC32 (seed 204532): 75 hands (33B / 37P / 5T), peak streaks 5B & 4P across 29 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)
ASC32 Big Eye Boy Entry #4

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

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

ASC32 Small Road Entry #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

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

ASC32 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

ASC32 8-Deck Hand Distribution
75 Hands (33 Banker / 37 Player / 5 Tie)

Seed 204532 opening column signature: C1:3P · C2:3B · C3:4P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC32 Big Road Span & Max Streaks
Max 5B / Max 4P Across 29 Logical Cols (29 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.

ASC32 Big Eye Boy Rule Breakdown
66 Marks (24R / 42B · 36.4% Red across 33 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

ASC32 Small Road & Cockroach Pig Tally
SR: 24R/39B (38.1% Red) · CP: 40R/19B (67.8% 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).

ASC32 Hand #76 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #75 of ASC32.

ASC32 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC32 Scoreboard Structure: C1:3P · C2:3B · C3:4P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC32 (seed 204532), 75 total hands resolve into 33 Banker wins, 37 Player wins, and 5 Ties across 29 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 ASC32 column by column shows peak runs of 5B and 4P spreading across 29 Big Road display columns: ASC32 records 27 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 ASC32 (Seed 204532)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC32-C01 (H1–H3)3P (PPP) [ASC32]0B/3P (+0T @ASC32-C1)ASC32 Row3 Stop (Col1)NextColVsASC32-C1: 3v3
ASC32-C02 (H4–H6)3B (BBB) [ASC32]3B/3P (+0T @ASC32-C2)ASC32 Row3 Stop (Col2)NextColVsASC32-C1: 3v3
ASC32-C03 (H7–H11)4P (PPPP) [ASC32]3B/7P (+1T @ASC32-C3)ASC32 Row4 Stop (Col3)NextColVsASC32-C2: 4v3
ASC32-C04 (H12–H12)1B (B) [ASC32]4B/7P (+0T @ASC32-C4)ASC32 Row1 Stop (Col4)NextColVsASC32-C3: 1v4
ASC32-C05 (H13–H14)2P (PP) [ASC32]4B/9P (+0T @ASC32-C5)ASC32 Row2 Stop (Col5)NextColVsASC32-C4: 2v1
ASC32-C06 (H15–H17)3B (BBB) [ASC32]7B/9P (+0T @ASC32-C6)ASC32 Row3 Stop (Col6)NextColVsASC32-C5: 3v2
ASC32-C07 (H18–H22)4P (PPPP) [ASC32]7B/13P (+1T @ASC32-C7)ASC32 Row4 Stop (Col7)NextColVsASC32-C6: 4v3
ASC32-C08 (H23–H27)5B (BBBBB) [ASC32]12B/13P (+0T @ASC32-C8)ASC32 Row5 Stop (Col8)NextColVsASC32-C7: 5v4
ASC32-C09 (H28–H28)1P (P) [ASC32]12B/14P (+0T @ASC32-C9)ASC32 Row1 Stop (Col9)NextColVsASC32-C8: 1v5
ASC32-C10 (H29–H31)3B (BBB) [ASC32]15B/14P (+0T @ASC32-C10)ASC32 Row3 Stop (Col10)NextColVsASC32-C9: 3v1
  • ASC32 BEB #4 (RED): verified at ASC32 lookback-1 index 3 (24R/42B total).
  • ASC32 SR #3 (BLUE): verified at ASC32 lookback-2 index 2 (24R/39B total).
  • ASC32 CP #4 (RED): verified at ASC32 lookback-3 index 3 (40R/19B total).
ASC32 DERIVED-ROAD & CUT-CARD PROBE

ASC32 Lookback Split (24R/42B BEB · 24R/39B SR · 40R/19B 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 ASC32, Big Eye Boy prints 24 Red (36.4%) and 42 Blue marks, Small Road prints 24 Red (38.1%) and 39 Blue marks, and Cockroach Pig prints 40 Red (67.8%) and 19 Blue marks.

At the ASC32 cut card after Hand #75, probing Hand #76 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC32.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC32 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 ASC32, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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