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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0306 (SEED 50967)

Triple Block Symmetry S2-0306: 66-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0306 (seed 50967) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 66 hands (32 Banker, 26 Player, 8 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 55 Big Eye Boy marks (26R/29B), 53 Small Road marks (24R/29B), and 52 Cockroach Pig marks (24R/28B).

Verified 8-Deck Hands
66 (S2-0306)
Outcome Split
32B / 26P / 8T
Longest Streaks
5B · 6P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 66 Hands

Read the Board at Table Speed

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

S2-0306 (seed 50967): 66 hands (32B / 26P / 8T), max streaks 5B & 6P 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)
S2-0306 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.

S2-0306 SR Mark #6

Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

S2-0306 CP Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

S2-0306 8-Deck Hand Count
66 Hands (32 Banker / 26 Player / 8 Tie)

Seed 50967 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H16,H19,H22,H34).

S2-0306 Big Road Span & Max Streaks
Max 5B / Max 6P 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.

S2-0306 Big Eye Boy Rule Split
55 Marks (26R / 29B · 47.3% Red Across 30 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 24.

S2-0306 Small Road & Cockroach Pig Split
SR: 24R/29B (45.3% Red) · CP: 24R/28B (46.2% Red)

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

S2-0306 Hand #67 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP BLUE | If P -> BEB BLUE, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #66 of S2-0306.

S2-0306 SCOREBOARD STRUCTURE

S2-0306 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Table log S2-0306 (seed 50967) resolves 66 hands into 32B, 26P, and 8T across 33 columns (33 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), capturing 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.

Within S2-0306, max streaks hit 5B and 6P with ties logged at H16,H19,H22,H34; Big Eye Boy tallies 31 Rule 1 comparisons, 0 Case 1 matches, 0 Case 2 breaks, and 24 Case 3 marks.

Opening 9 Big Road Columns of S2-0306 (Seed 50967)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0306-C1:H1-2S2-0306:2BS2-0306:2B/0P/+0TS2-0306:R2StopS2-0306:2vs2
S2-0306-C2:H3-4S2-0306:2PS2-0306:2B/2P/+0TS2-0306:R2StopS2-0306:2vs2
S2-0306-C3:H5-5S2-0306:1BS2-0306:3B/2P/+0TS2-0306:R1StopS2-0306:1vs2
S2-0306-C4:H6-6S2-0306:1PS2-0306:3B/3P/+0TS2-0306:R1StopS2-0306:1vs1
S2-0306-C5:H7-7S2-0306:1BS2-0306:4B/3P/+0TS2-0306:R1StopS2-0306:1vs1
S2-0306-C6:H8-9S2-0306:2PS2-0306:4B/5P/+0TS2-0306:R2StopS2-0306:2vs1
S2-0306-C7:H10-10S2-0306:1BS2-0306:5B/5P/+0TS2-0306:R1StopS2-0306:1vs2
S2-0306-C8:H11-11S2-0306:1PS2-0306:5B/6P/+0TS2-0306:R1StopS2-0306:1vs1
S2-0306-C9:H12-14S2-0306:3BS2-0306:8B/6P/+0TS2-0306:R3StopS2-0306:3vs1
  • S2-0306 BEB #8 (BLUE): Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).
  • S2-0306 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0306 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0306 DERIVED-ROAD & NEXT-HAND PROBE

S2-0306 Lookback Audit (26R/29B BEB · 24R/29B SR · 24R/28B CP)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats. Specifically for S2-0306, BEB tallies 26 Red and 29 Blue (47.3%), SR tallies 24 Red and 29 Blue (45.3%), and CP tallies 24 Red and 28 Blue (46.2%).

In S2-0306, Hand #67 lookback projections are BEB RED, SR BLUE, CP BLUE if Banker wins and BEB BLUE, SR RED, CP RED if Player wins.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0306 causes a Blue mark on Row 2.
TruthRow 2 in S2-0306 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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