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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0316 (SEED 142727)

Triple Block Symmetry S2-0316: 72-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0316 (seed 142727) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 72 hands (29 Banker, 39 Player, 4 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 65 Big Eye Boy marks (29R/36B), 63 Small Road marks (31R/32B), and 62 Cockroach Pig marks (35R/27B).

Verified 8-Deck Hands
72 (S2-0316)
Outcome Split
29B / 39P / 4T
Longest Streaks
4B · 6P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 72 Hands

Read the Board at Table Speed

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

S2-0316 (seed 142727): 72 hands (29B / 39P / 4T), max streaks 4B & 6P across 36 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)
S2-0316 BEB Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

S2-0316 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.

S2-0316 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

S2-0316 8-Deck Hand Count
72 Hands (29 Banker / 39 Player / 4 Tie)

Seed 142727 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H20,H48,H50,H54).

S2-0316 Big Road Span & Max Streaks
Max 4B / Max 6P Across 36 Logical Cols (36 Display Cols)

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

S2-0316 Big Eye Boy Rule Split
65 Marks (29R / 36B · 44.6% Red Across 31 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

S2-0316 Small Road & Cockroach Pig Split
SR: 31R/32B (49.2% Red) · CP: 35R/27B (56.5% Red)

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

S2-0316 Hand #73 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #72 of S2-0316.

S2-0316 SCOREBOARD STRUCTURE

S2-0316 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Shoe S2-0316 (seed 142727) completes 72 hands (29 Banker / 39 Player / 4 Tie) across 36 columns and 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), demonstrating 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.

Peak runs in S2-0316 reach 4B and 6P (tie positions H20,H48,H50,H54), while Big Eye Boy logs 34 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 31 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0316 (Seed 142727)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0316-C1:H1-2S2-0316:2BS2-0316:2B/0P/+0TS2-0316:R2StopS2-0316:2vs2
S2-0316-C2:H3-4S2-0316:2PS2-0316:2B/2P/+0TS2-0316:R2StopS2-0316:2vs2
S2-0316-C3:H5-5S2-0316:1BS2-0316:3B/2P/+0TS2-0316:R1StopS2-0316:1vs2
S2-0316-C4:H6-6S2-0316:1PS2-0316:3B/3P/+0TS2-0316:R1StopS2-0316:1vs1
S2-0316-C5:H7-7S2-0316:1BS2-0316:4B/3P/+0TS2-0316:R1StopS2-0316:1vs1
S2-0316-C6:H8-9S2-0316:2PS2-0316:4B/5P/+0TS2-0316:R2StopS2-0316:2vs1
S2-0316-C7:H10-10S2-0316:1BS2-0316:5B/5P/+0TS2-0316:R1StopS2-0316:1vs2
S2-0316-C8:H11-11S2-0316:1PS2-0316:5B/6P/+0TS2-0316:R1StopS2-0316:1vs1
S2-0316-C9:H12-13S2-0316:2BS2-0316:7B/6P/+0TS2-0316:R2StopS2-0316:2vs1
  • S2-0316 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0316 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0316 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0316 DERIVED-ROAD & NEXT-HAND PROBE

S2-0316 Lookback Audit (29R/36B BEB · 31R/32B SR · 35R/27B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0316 yields 29R/36B (44.6% Red) on BEB, 31R/32B (49.2% Red) on SR, and 35R/27B (56.5% Red) on CP. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

After 72 hands in S2-0316, testing Hand #73 assigns BEB BLUE, SR BLUE, CP BLUE on a Banker win and BEB RED, SR RED, CP RED on a Player win.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0316 causes a Blue mark on Row 2.
TruthRow 2 in S2-0316 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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