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ALTERNATING PING-PONG CHOP · CATALOG PPC31 (SEED 204231)

Ping-Pong Chop Shoe PPC31: 67-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe PPC31 (seed 204231) captures a extended single-hand Banker-Player alternation creating consecutive depth-1 columns across 67 dealt 8-deck hands (33 Banker, 29 Player, 5 Tie). Its 35 logical Big Road columns occupy 35 display columns (C1:2B · C2:2P · C3:1B · C4:1P · C5:1B · C6:1P · C7:1B · C8:1P) and generate 59 Big Eye Boy marks (27R/32B), 57 Small Road marks (27R/30B), and 56 Cockroach Pig marks (40R/16B).

Verified 8-Deck Hands
67 (PPC31)
Outcome Split
33B / 29P / 5T
Peak Streaks
4B · 4P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 67 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B P B B P B P B P B P P B B B P B B B P P 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
Big Eye Boy = = ≠ = = = = = = ≠ ≠ = = = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ =
Small Road ≠ ≠ = = = = = = ≠ ≠ ≠ = = = = ≠ ≠ = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = =
Cockroach Pig ≠ ≠ = = = = = = ≠ ≠ ≠ = = = = ≠ = = = = ≠ ≠ = ≠ = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ = = =

PPC31 (seed 204231): 67 hands (33B / 29P / 5T), peak streaks 4B & 4P across 35 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)
PPC31 Big Eye Boy Entry #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

PPC31 Small Road Entry #2

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

PPC31 Cockroach Pig Entry #3

Column 6 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

PPC31 8-Deck Hand Distribution
67 Hands (33 Banker / 29 Player / 5 Tie)

Seed 204231 opening column signature: C1:2B · C2:2P · C3:1B · C4:1P · C5:1B · C6:1P · C7:1B · C8:1P.

PPC31 Big Road Span & Max Streaks
Max 4B / Max 4P Across 35 Logical Cols (35 Display Cols)

Each alternating winner starts a new Big Road column at Row 1, meaning every hand inside the chop window is evaluated exclusively by Rule 1 (New Column depth comparison).

PPC31 Big Eye Boy Rule Breakdown
59 Marks (27R / 32B · 45.8% Red across 29 Display Cols)

Rule 1: 33 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 26.

PPC31 Small Road & Cockroach Pig Tally
SR: 27R/30B (47.4% Red) · CP: 40R/16B (71.4% Red)

Comparing a finished 1-bead column against an earlier 1-bead column yields equal depths (1 = 1), turning Big Eye Boy, Small Road, and Cockroach Pig Red (=) throughout the chop.

PPC31 Hand #68 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #67 of PPC31.

PPC31 COLUMN GEOMETRY (PING-PONG-CHOP)

PPC31 Scoreboard Structure: C1:2B · C2:2P · C3:1B · C4:1P · C5:1B · C6:1P · C7:1B · C8:1P

In catalog shoe PPC31 (seed 204231), 67 total hands resolve into 33 Banker wins, 29 Player wins, and 5 Ties across 35 logical columns (C1:2B · C2:2P · C3:1B · C4:1P · C5:1B · C6:1P · C7:1B · C8:1P). Each alternating winner starts a new Big Road column at Row 1, meaning every hand inside the chop window is evaluated exclusively by Rule 1 (New Column depth comparison).

Tracking PPC31 column by column shows peak runs of 4B and 4P spreading across 35 Big Road display columns: PPC31 records 33 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 26 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of PPC31 (Seed 204231)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
PPC31-C01 (H1–H2)2B (BB) [PPC31]2B/0P (+0T @PPC31-C1)PPC31 Row2 Stop (Col1)NextColVsPPC31-C1: 2v2
PPC31-C02 (H3–H4)2P (PP) [PPC31]2B/2P (+0T @PPC31-C2)PPC31 Row2 Stop (Col2)NextColVsPPC31-C1: 2v2
PPC31-C03 (H5–H5)1B (B) [PPC31]3B/2P (+0T @PPC31-C3)PPC31 Row1 Stop (Col3)NextColVsPPC31-C2: 1v2
PPC31-C04 (H6–H6)1P (P) [PPC31]3B/3P (+0T @PPC31-C4)PPC31 Row1 Stop (Col4)NextColVsPPC31-C3: 1v1
PPC31-C05 (H7–H7)1B (B) [PPC31]4B/3P (+0T @PPC31-C5)PPC31 Row1 Stop (Col5)NextColVsPPC31-C4: 1v1
PPC31-C06 (H8–H8)1P (P) [PPC31]4B/4P (+0T @PPC31-C6)PPC31 Row1 Stop (Col6)NextColVsPPC31-C5: 1v1
PPC31-C07 (H9–H9)1B (B) [PPC31]5B/4P (+0T @PPC31-C7)PPC31 Row1 Stop (Col7)NextColVsPPC31-C6: 1v1
PPC31-C08 (H10–H11)1P (P) [PPC31]5B/5P (+1T @PPC31-C8)PPC31 Row1 Stop (Col8)NextColVsPPC31-C7: 1v1
PPC31-C09 (H12–H12)1B (B) [PPC31]6B/5P (+0T @PPC31-C9)PPC31 Row1 Stop (Col9)NextColVsPPC31-C8: 1v1
PPC31-C10 (H13–H13)1P (P) [PPC31]6B/6P (+0T @PPC31-C10)PPC31 Row1 Stop (Col10)NextColVsPPC31-C9: 1v1
  • PPC31 BEB #3 (BLUE): verified at PPC31 lookback-1 index 2 (27R/32B total).
  • PPC31 SR #2 (BLUE): verified at PPC31 lookback-2 index 1 (27R/30B total).
  • PPC31 CP #3 (RED): verified at PPC31 lookback-3 index 2 (40R/16B total).
PPC31 DERIVED-ROAD & CUT-CARD PROBE

PPC31 Lookback Split (27R/32B BEB · 27R/30B SR · 40R/16B CP)

Comparing a finished 1-bead column against an earlier 1-bead column yields equal depths (1 = 1), turning Big Eye Boy, Small Road, and Cockroach Pig Red (=) throughout the chop. Across PPC31, Big Eye Boy prints 27 Red (45.8%) and 32 Blue marks, Small Road prints 27 Red (47.4%) and 30 Blue marks, and Cockroach Pig prints 40 Red (71.4%) and 16 Blue marks.

At the PPC31 cut card after Hand #67, probing Hand #68 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for PPC31.

Table Reality Check

Myth vs. Truth

MythSingle-hand alternation in PPC31 is chaotic, so the derived roads must alternate Red and Blue on every hand.
TruthBecause consecutive 1-bead columns in PPC31 share identical depth (1 bead), Rule 1 marks unbroken Red (=) across all three lookback distances.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android