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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0322 (SEED 197783)

Triple Block Symmetry S2-0322: 71-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0322 (seed 197783) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 71 hands (40 Banker, 27 Player, 4 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 64 Big Eye Boy marks (33R/31B), 62 Small Road marks (28R/34B), and 61 Cockroach Pig marks (28R/33B).

Verified 8-Deck Hands
71 (S2-0322)
Outcome Split
40B / 27P / 4T
Longest Streaks
7B · 3P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

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

S2-0322 (seed 197783): 71 hands (40B / 27P / 4T), max streaks 7B & 3P across 33 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)
S2-0322 BEB Mark #8

Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 6, 1 column further back.
  2. Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 6.

S2-0322 SR Mark #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.

S2-0322 CP Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0322 8-Deck Hand Count
71 Hands (40 Banker / 27 Player / 4 Tie)

Seed 197783 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H25,H39,H57,H70).

S2-0322 Big Road Span & Max Streaks
Max 7B / Max 3P Across 33 Logical Cols (33 Display Cols)

Three-row blocks test one Rule 1 new-column comparison and two consecutive Rule 2 Case 1 downward checks per column.

S2-0322 Big Eye Boy Rule Split
64 Marks (33R / 31B · 51.6% Red Across 34 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

S2-0322 Small Road & Cockroach Pig Split
SR: 28R/34B (45.2% Red) · CP: 28R/33B (45.9% Red)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

S2-0322 Hand #72 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #71 of S2-0322.

S2-0322 SCOREBOARD STRUCTURE

S2-0322 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Scoreboard record S2-0322 (seed 197783) spans 71 hands (40B / 27P / 4T) and 33 logical columns (33 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), centering on a three-deep BBB-PPP column blocks testing Lookback-2 parity. Three-row blocks test one Rule 1 new-column comparison and two consecutive Rule 2 Case 1 downward checks per column.

Lookback-1 classification for S2-0322 (max 7B, max 3P, ties H25,H39,H57,H70) counts 31 Rule 1new-column checks, 0 Case 1 row checks, 0 Case 2 tips, and 33 Case 3 overhangs.

Opening 9 Big Road Columns of S2-0322 (Seed 197783)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0322-C1:H1-2S2-0322:2BS2-0322:2B/0P/+0TS2-0322:R2StopS2-0322:2vs2
S2-0322-C2:H3-4S2-0322:2PS2-0322:2B/2P/+0TS2-0322:R2StopS2-0322:2vs2
S2-0322-C3:H5-5S2-0322:1BS2-0322:3B/2P/+0TS2-0322:R1StopS2-0322:1vs2
S2-0322-C4:H6-6S2-0322:1PS2-0322:3B/3P/+0TS2-0322:R1StopS2-0322:1vs1
S2-0322-C5:H7-7S2-0322:1BS2-0322:4B/3P/+0TS2-0322:R1StopS2-0322:1vs1
S2-0322-C6:H8-9S2-0322:2PS2-0322:4B/5P/+0TS2-0322:R2StopS2-0322:2vs1
S2-0322-C7:H10-10S2-0322:1BS2-0322:5B/5P/+0TS2-0322:R1StopS2-0322:1vs2
S2-0322-C8:H11-12S2-0322:2PS2-0322:5B/7P/+0TS2-0322:R2StopS2-0322:2vs1
S2-0322-C9:H13-14S2-0322:2BS2-0322:7B/7P/+0TS2-0322:R2StopS2-0322:2vs2
  • S2-0322 BEB #8 (BLUE): Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).
  • S2-0322 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0322 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0322 DERIVED-ROAD & NEXT-HAND PROBE

S2-0322 Lookback Audit (33R/31B BEB · 28R/34B SR · 28R/33B CP)

Every derived road in S2-0322 is verified from the Big Road columns: 33R/31B (51.6% Red) on BEB, 28R/34B (45.2% Red) on SR, and 28R/33B (45.9% Red) on CP. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

At Hand #72 of S2-0322, the next-hand road probe shows B -> (RED, RED, RED) and P -> (BLUE, BLUE, BLUE) across Big Eye Boy, Small Road, and Cockroach Pig without altering 8-deck probabilities.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0322 causes a Blue mark on Row 2.
TruthRow 2 in S2-0322 is still covered by the 3-bead reference column (Red =); the depth mismatch registers on the next column's Row 1 bead.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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