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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0338 (SEED 344599)

Triple Block Symmetry S2-0338: 76-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0338 (seed 344599) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 76 hands (35 Banker, 39 Player, 2 Tie). Its 48 logical columns span 48 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) and produce 71 Big Eye Boy marks (34R/37B), 69 Small Road marks (31R/38B), and 68 Cockroach Pig marks (26R/42B).

Verified 8-Deck Hands
76 (S2-0338)
Outcome Split
35B / 39P / 2T
Longest Streaks
4B · 4P
Big Road Columns
48 Cols
Engine-Verified Scoreboard · 76 Hands

Read the Board at Table Speed

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

S2-0338 (seed 344599): 76 hands (35B / 39P / 2T), max streaks 4B & 4P across 48 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)
S2-0338 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 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 6 stopped exactly one row above this bead.

S2-0338 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

S2-0338 CP Mark #4

Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

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

S2-0338 8-Deck Hand Count
76 Hands (35 Banker / 39 Player / 2 Tie)

Seed 344599 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B (ties at H13,H19).

S2-0338 Big Road Span & Max Streaks
Max 4B / Max 4P Across 48 Logical Cols (48 Display Cols)

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

S2-0338 Big Eye Boy Rule Split
71 Marks (34R / 37B · 47.9% Red Across 37 Cols)

Rule 1: 46 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 25.

S2-0338 Small Road & Cockroach Pig Split
SR: 31R/38B (44.9% Red) · CP: 26R/42B (38.2% Red)

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

S2-0338 Hand #77 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP BLUE | If P -> BEB BLUE, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #76 of S2-0338.

S2-0338 SCOREBOARD STRUCTURE

S2-0338 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B)

Inside shoe S2-0338 (deterministic seed 344599), 76 dealt outcomes split 35 Banker, 39 Player, and 2 Tie across 48 Big Road columns (48 grid columns; opening sequence C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) to illustrate 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.

Across S2-0338, top streaks of 4B and 4P and tie index set H13,H19 yield 46 Rule 1 marks, 0 Case 1 marks, 0 Case 2 marks, and 25 Case 3 marks on Lookback 1.

Opening 9 Big Road Columns of S2-0338 (Seed 344599)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0338-C1:H1-2S2-0338:2BS2-0338:2B/0P/+0TS2-0338:R2StopS2-0338:2vs2
S2-0338-C2:H3-4S2-0338:2PS2-0338:2B/2P/+0TS2-0338:R2StopS2-0338:2vs2
S2-0338-C3:H5-5S2-0338:1BS2-0338:3B/2P/+0TS2-0338:R1StopS2-0338:1vs2
S2-0338-C4:H6-6S2-0338:1PS2-0338:3B/3P/+0TS2-0338:R1StopS2-0338:1vs1
S2-0338-C5:H7-7S2-0338:1BS2-0338:4B/3P/+0TS2-0338:R1StopS2-0338:1vs1
S2-0338-C6:H8-9S2-0338:2PS2-0338:4B/5P/+0TS2-0338:R2StopS2-0338:2vs1
S2-0338-C7:H10-14S2-0338:4BS2-0338:8B/5P/+1TS2-0338:R4StopS2-0338:4vs2
S2-0338-C8:H15-15S2-0338:1PS2-0338:8B/6P/+0TS2-0338:R1StopS2-0338:1vs4
S2-0338-C9:H16-16S2-0338:1BS2-0338:9B/6P/+0TS2-0338:R1StopS2-0338:1vs1
  • S2-0338 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0338 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0338 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0338 DERIVED-ROAD & NEXT-HAND PROBE

S2-0338 Lookback Audit (34R/37B BEB · 31R/38B SR · 26R/42B CP)

Lookback audit S2-0338 records 34R/37B (47.9% Red) on Big Eye Boy, 31R/38B (44.9% Red) on Small Road, and 26R/42B (38.2% Red) on Cockroach Pig. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Should S2-0338 deal Hand #77, ?B records BEB RED, SR BLUE, CP BLUE while ?P records BEB BLUE, SR RED, CP RED across the three derived grids.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0338 causes a Blue mark on Row 2.
TruthRow 2 in S2-0338 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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