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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0325 (SEED 225311)

Triple Block Symmetry S2-0325: 79-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0325 (seed 225311) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 79 hands (37 Banker, 37 Player, 5 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 71 Big Eye Boy marks (36R/35B), 69 Small Road marks (37R/32B), and 68 Cockroach Pig marks (39R/29B).

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Verified 8-Deck Hands
79 (S2-0325)
Outcome Split
37B / 37P / 5T
Longest Streaks
5B · 4P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 79 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 P P B P B B B B B B P P P B B P P B B P P B B B P B P B P B P B B B B P P P B P P P B B B P B P B B P P B P P P P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ = = ≠ = ≠ = ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = = = = ≠ = = ≠ = = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = =
Small Road ≠ ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = = = = ≠ = = ≠ ≠ = ≠ = ≠ = = = = = = ≠ = ≠ ≠ ≠ ≠ = = = = = ≠ = = ≠ ≠ = ≠ ≠ = = = ≠ = ≠ ≠ = ≠ = = = ≠ ≠ ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ = = ≠ = = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ = = = = = ≠ ≠ ≠ = = = = ≠ = = ≠ ≠ = ≠ = = = ≠ = = = = = ≠ ≠ ≠ ≠ = = = = ≠ =

S2-0325 (seed 225311): 79 hands (37B / 37P / 5T), max streaks 5B & 4P across 38 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)
S2-0325 BEB Mark #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.

S2-0325 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.

S2-0325 CP Mark #1

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

S2-0325 8-Deck Hand Count
79 Hands (37 Banker / 37 Player / 5 Tie)

Seed 225311 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H16,H21,H23,H36).

S2-0325 Big Road Span & Max Streaks
Max 5B / Max 4P Across 38 Logical Cols (38 Display Cols)

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

S2-0325 Big Eye Boy Rule Split
71 Marks (36R / 35B · 50.7% Red Across 33 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

S2-0325 Small Road & Cockroach Pig Split
SR: 37R/32B (53.6% Red) · CP: 39R/29B (57.4% Red)

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

S2-0325 Hand #80 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #79 of S2-0325.

S2-0325 SCOREBOARD STRUCTURE

S2-0325 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Over 79 verified hands (37B, 37P, 5T), S2-0325 (seed 225311) populates 38 logical columns (38 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) to document 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.

Longest streaks of 5 Banker and 4 Player in S2-0325 (ties at H16,H21,H23,H36) break down on Lookback 1 into 36 new-column checks, 0 covered-row checks, 0 one-past-bottom breaks, and 35 deep overhang marks.

Opening 9 Big Road Columns of S2-0325 (Seed 225311)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0325-C1:H1-2S2-0325:2BS2-0325:2B/0P/+0TS2-0325:R2StopS2-0325:2vs2
S2-0325-C2:H3-4S2-0325:2PS2-0325:2B/2P/+0TS2-0325:R2StopS2-0325:2vs2
S2-0325-C3:H5-5S2-0325:1BS2-0325:3B/2P/+0TS2-0325:R1StopS2-0325:1vs2
S2-0325-C4:H6-6S2-0325:1PS2-0325:3B/3P/+0TS2-0325:R1StopS2-0325:1vs1
S2-0325-C5:H7-7S2-0325:1BS2-0325:4B/3P/+0TS2-0325:R1StopS2-0325:1vs1
S2-0325-C6:H8-9S2-0325:2PS2-0325:4B/5P/+0TS2-0325:R2StopS2-0325:2vs1
S2-0325-C7:H10-10S2-0325:1BS2-0325:5B/5P/+0TS2-0325:R1StopS2-0325:1vs2
S2-0325-C8:H11-14S2-0325:4PS2-0325:5B/9P/+0TS2-0325:R4StopS2-0325:4vs1
S2-0325-C9:H15-17S2-0325:2BS2-0325:7B/9P/+1TS2-0325:R2StopS2-0325:2vs4
  • S2-0325 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0325 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0325 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0325 DERIVED-ROAD & NEXT-HAND PROBE

S2-0325 Lookback Audit (36R/35B BEB · 37R/32B SR · 39R/29B CP)

In shoe S2-0325, Red (=) repeating shares settle at 50.7% on BEB (36R/35B), 53.6% on SR (37R/32B), and 57.4% on CP (39R/29B). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Cut-card probe #80 for S2-0325 resolves Banker to BEB BLUE / SR BLUE / CP BLUE and Player to BEB RED / SR RED / CP RED using exact Big Road column depths.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0325 causes a Blue mark on Row 2.
TruthRow 2 in S2-0325 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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