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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0334 (SEED 307895)

Triple Block Symmetry S2-0334: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0334 (seed 307895) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 65 hands (25 Banker, 36 Player, 4 Tie). Its 30 logical columns span 31 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 58 Big Eye Boy marks (30R/28B), 56 Small Road marks (25R/31B), and 55 Cockroach Pig marks (29R/26B).

Verified 8-Deck Hands
65 (S2-0334)
Outcome Split
25B / 36P / 4T
Longest Streaks
3B · 7P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

S2-0334 (seed 307895): 65 hands (25B / 36P / 4T), max streaks 3B & 7P across 30 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)
S2-0334 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.

S2-0334 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.

S2-0334 CP Mark #5

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

  1. Column 7 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

S2-0334 8-Deck Hand Count
65 Hands (25 Banker / 36 Player / 4 Tie)

Seed 307895 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H22,H26,H31,H61).

S2-0334 Big Road Span & Max Streaks
Max 3B / Max 7P Across 30 Logical Cols (31 Display Cols)

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

S2-0334 Big Eye Boy Rule Split
58 Marks (30R / 28B · 51.7% Red Across 31 Cols)

Rule 1: 28 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 30.

S2-0334 Small Road & Cockroach Pig Split
SR: 25R/31B (44.6% Red) · CP: 29R/26B (52.7% Red)

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

S2-0334 Hand #66 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #65 of S2-0334.

S2-0334 SCOREBOARD STRUCTURE

S2-0334 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Table log S2-0334 (seed 307895) resolves 65 hands into 25B, 36P, and 4T across 30 columns (31 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B), 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 S2-0334, max streaks hit 3B and 7P with ties logged at H22,H26,H31,H61; Big Eye Boy tallies 28 Rule 1 comparisons, 0 Case 1 matches, 0 Case 2 breaks, and 30 Case 3 marks.

Opening 9 Big Road Columns of S2-0334 (Seed 307895)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0334-C1:H1-2S2-0334:2BS2-0334:2B/0P/+0TS2-0334:R2StopS2-0334:2vs2
S2-0334-C2:H3-4S2-0334:2PS2-0334:2B/2P/+0TS2-0334:R2StopS2-0334:2vs2
S2-0334-C3:H5-5S2-0334:1BS2-0334:3B/2P/+0TS2-0334:R1StopS2-0334:1vs2
S2-0334-C4:H6-6S2-0334:1PS2-0334:3B/3P/+0TS2-0334:R1StopS2-0334:1vs1
S2-0334-C5:H7-7S2-0334:1BS2-0334:4B/3P/+0TS2-0334:R1StopS2-0334:1vs1
S2-0334-C6:H8-9S2-0334:2PS2-0334:4B/5P/+0TS2-0334:R2StopS2-0334:2vs1
S2-0334-C7:H10-11S2-0334:2BS2-0334:6B/5P/+0TS2-0334:R2StopS2-0334:2vs2
S2-0334-C8:H12-13S2-0334:2PS2-0334:6B/7P/+0TS2-0334:R2StopS2-0334:2vs2
S2-0334-C9:H14-14S2-0334:1BS2-0334:7B/7P/+0TS2-0334:R1StopS2-0334:1vs2
  • S2-0334 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0334 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0334 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0334 DERIVED-ROAD & NEXT-HAND PROBE

S2-0334 Lookback Audit (30R/28B BEB · 25R/31B SR · 29R/26B CP)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats. Specifically for S2-0334, BEB tallies 30 Red and 28 Blue (51.7%), SR tallies 25 Red and 31 Blue (44.6%), and CP tallies 29 Red and 26 Blue (52.7%).

In S2-0334, Hand #66 lookback projections are BEB BLUE, SR BLUE, CP BLUE if Banker wins and BEB RED, SR RED, CP RED if Player wins.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0334 causes a Blue mark on Row 2.
TruthRow 2 in S2-0334 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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