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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0307 (SEED 60143)

Triple Block Symmetry S2-0307: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0307 (seed 60143) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 65 hands (32 Banker, 31 Player, 2 Tie). Its 39 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 60 Big Eye Boy marks (35R/25B), 58 Small Road marks (31R/27B), and 57 Cockroach Pig marks (25R/32B).

Verified 8-Deck Hands
65 (S2-0307)
Outcome Split
32B / 31P / 2T
Longest Streaks
4B · 6P
Big Road Columns
39 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 P P P B P P P B B B P B B B B P B B B P B P B P B P B P B P B B P P P B P B B B P B B B
Big Eye Boy = = ≠ = = ≠ ≠ = = = = ≠ ≠ = = = = ≠ ≠ ≠ = ≠ = = = ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = = = = = = ≠ ≠ = = = ≠ ≠ ≠ = = = = = ≠ ≠ ≠ = = ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ = = = ≠ = = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = = ≠ = ≠ = = = = = = ≠ ≠ ≠ = = = ≠ ≠ ≠ = = = ≠ ≠ = ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ ≠ ≠ ≠ = ≠ = = ≠ = = = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = = = = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠

S2-0307 (seed 60143): 65 hands (32B / 31P / 2T), max streaks 4B & 6P across 39 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)
S2-0307 BEB Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

S2-0307 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.

S2-0307 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

S2-0307 8-Deck Hand Count
65 Hands (32 Banker / 31 Player / 2 Tie)

Seed 60143 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H57,H63).

S2-0307 Big Road Span & Max Streaks
Max 4B / Max 6P Across 39 Logical Cols (39 Display Cols)

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

S2-0307 Big Eye Boy Rule Split
60 Marks (35R / 25B · 58.3% Red Across 24 Cols)

Rule 1: 37 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 23.

S2-0307 Small Road & Cockroach Pig Split
SR: 31R/27B (53.4% Red) · CP: 25R/32B (43.9% Red)

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

S2-0307 Hand #66 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #65 of S2-0307.

S2-0307 SCOREBOARD STRUCTURE

S2-0307 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Evaluating S2-0307 (seed 60143) over 65 hands (32B, 31P, 2T) reveals 39 Big Road columns spanning 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) with 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.

Every column transition in S2-0307 (peak 4B/6P, ties H57,H63) contributes to 37 Rule 1, 0 Case 1, 0 Case 2, and 23 Case 3 marks on Big Eye Boy.

Opening 9 Big Road Columns of S2-0307 (Seed 60143)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0307-C1:H1-2S2-0307:2BS2-0307:2B/0P/+0TS2-0307:R2StopS2-0307:2vs2
S2-0307-C2:H3-4S2-0307:2PS2-0307:2B/2P/+0TS2-0307:R2StopS2-0307:2vs2
S2-0307-C3:H5-5S2-0307:1BS2-0307:3B/2P/+0TS2-0307:R1StopS2-0307:1vs2
S2-0307-C4:H6-6S2-0307:1PS2-0307:3B/3P/+0TS2-0307:R1StopS2-0307:1vs1
S2-0307-C5:H7-7S2-0307:1BS2-0307:4B/3P/+0TS2-0307:R1StopS2-0307:1vs1
S2-0307-C6:H8-9S2-0307:2PS2-0307:4B/5P/+0TS2-0307:R2StopS2-0307:2vs1
S2-0307-C7:H10-11S2-0307:2BS2-0307:6B/5P/+0TS2-0307:R2StopS2-0307:2vs2
S2-0307-C8:H12-13S2-0307:2PS2-0307:6B/7P/+0TS2-0307:R2StopS2-0307:2vs2
S2-0307-C9:H14-14S2-0307:1BS2-0307:7B/7P/+0TS2-0307:R1StopS2-0307:1vs2
  • S2-0307 BEB #1 (RED): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
  • S2-0307 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0307 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0307 DERIVED-ROAD & NEXT-HAND PROBE

S2-0307 Lookback Audit (35R/25B BEB · 31R/27B SR · 25R/32B CP)

Derived-road totals for S2-0307 reach 35R/25B on Big Eye Boy (58.3% Red), 31R/27B on Small Road (53.4% Red), and 25R/32B on Cockroach Pig (43.9% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Next-entry verification on S2-0307 (Hand #66) confirms Banker -> BEB RED, SR RED, CP RED versus Player -> BEB BLUE, SR BLUE, CP BLUE; scoreboard probes describe geometry, never card memory.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0307 causes a Blue mark on Row 2.
TruthRow 2 in S2-0307 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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