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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0342 (SEED 381303)

Triple Block Symmetry S2-0342: 69-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0342 (seed 381303) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 69 hands (37 Banker, 25 Player, 7 Tie). Its 35 logical columns span 35 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) and produce 59 Big Eye Boy marks (31R/28B), 57 Small Road marks (27R/30B), and 56 Cockroach Pig marks (24R/32B).

Verified 8-Deck Hands
69 (S2-0342)
Outcome Split
37B / 25P / 7T
Longest Streaks
6B · 3P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 69 Hands

Read the Board at Table Speed

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

S2-0342 (seed 381303): 69 hands (37B / 25P / 7T), max streaks 6B & 3P across 35 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)
S2-0342 BEB Mark #4

Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

S2-0342 SR Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

S2-0342 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

S2-0342 8-Deck Hand Count
69 Hands (37 Banker / 25 Player / 7 Tie)

Seed 381303 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B (ties at H15,H20,H22,H24).

S2-0342 Big Road Span & Max Streaks
Max 6B / Max 3P Across 35 Logical Cols (35 Display Cols)

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

S2-0342 Big Eye Boy Rule Split
59 Marks (31R / 28B · 52.5% Red Across 27 Cols)

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

S2-0342 Small Road & Cockroach Pig Split
SR: 27R/30B (47.4% Red) · CP: 24R/32B (42.9% Red)

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

S2-0342 Hand #70 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #69 of S2-0342.

S2-0342 SCOREBOARD STRUCTURE

S2-0342 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B)

Across 69 8-deck deals in S2-0342 (seed 381303), the scoreboard logs 37B, 25P, and 7T in 35 logical columns (35 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B), showcasing 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.

Streak ceilings in S2-0342 stand at 6B and 3P (tie positions H15,H20,H22,H24), generating 33 Rule 1, 0 Case 1, 0 Case 2, and 26 Case 3 Big Eye Boy evaluations.

Opening 9 Big Road Columns of S2-0342 (Seed 381303)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0342-C1:H1-2S2-0342:2BS2-0342:2B/0P/+0TS2-0342:R2StopS2-0342:2vs2
S2-0342-C2:H3-4S2-0342:2PS2-0342:2B/2P/+0TS2-0342:R2StopS2-0342:2vs2
S2-0342-C3:H5-5S2-0342:1BS2-0342:3B/2P/+0TS2-0342:R1StopS2-0342:1vs2
S2-0342-C4:H6-6S2-0342:1PS2-0342:3B/3P/+0TS2-0342:R1StopS2-0342:1vs1
S2-0342-C5:H7-7S2-0342:1BS2-0342:4B/3P/+0TS2-0342:R1StopS2-0342:1vs1
S2-0342-C6:H8-9S2-0342:2PS2-0342:4B/5P/+0TS2-0342:R2StopS2-0342:2vs1
S2-0342-C7:H10-13S2-0342:4BS2-0342:8B/5P/+0TS2-0342:R4StopS2-0342:4vs2
S2-0342-C8:H14-17S2-0342:3PS2-0342:8B/8P/+1TS2-0342:R3StopS2-0342:3vs4
S2-0342-C9:H18-18S2-0342:1BS2-0342:9B/8P/+0TS2-0342:R1StopS2-0342:1vs3
  • S2-0342 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0342 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0342 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0342 DERIVED-ROAD & NEXT-HAND PROBE

S2-0342 Lookback Audit (31R/28B BEB · 27R/30B SR · 24R/32B CP)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats. Consequently, S2-0342 closes with BEB 31R/28B (52.5% Red), SR 27R/30B (47.4% Red), and CP 24R/32B (42.9% Red).

Checking Hand #70 on S2-0342 shows that Banker and Player split derived marks into (RED/RED/RED) versus (BLUE/BLUE/BLUE).

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0342 causes a Blue mark on Row 2.
TruthRow 2 in S2-0342 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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