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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0303 (SEED 23439)

Triple Block Symmetry S2-0303: 75-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0303 (seed 23439) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 75 hands (39 Banker, 32 Player, 4 Tie). Its 44 logical columns span 44 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 68 Big Eye Boy marks (32R/36B), 66 Small Road marks (37R/29B), and 65 Cockroach Pig marks (27R/38B).

Verified 8-Deck Hands
75 (S2-0303)
Outcome Split
39B / 32P / 4T
Longest Streaks
4B · 3P
Big Road Columns
44 Cols
Engine-Verified Scoreboard · 75 Hands

Read the Board at Table Speed

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

S2-0303 (seed 23439): 75 hands (39B / 32P / 4T), max streaks 4B & 3P across 44 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)
S2-0303 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0303 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.

S2-0303 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

S2-0303 8-Deck Hand Count
75 Hands (39 Banker / 32 Player / 4 Tie)

Seed 23439 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H28,H31,H50,H55).

S2-0303 Big Road Span & Max Streaks
Max 4B / Max 3P Across 44 Logical Cols (44 Display Cols)

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

S2-0303 Big Eye Boy Rule Split
68 Marks (32R / 36B · 47.1% Red Across 36 Cols)

Rule 1: 42 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 26.

S2-0303 Small Road & Cockroach Pig Split
SR: 37R/29B (56.1% Red) · CP: 27R/38B (41.5% Red)

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

S2-0303 Hand #76 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #75 of S2-0303.

S2-0303 SCOREBOARD STRUCTURE

S2-0303 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Dealing 75 hands from seed 23439, shoe S2-0303 posts 39 Banker, 32 Player, and 4 Tie outcomes across 44 columns (44 display columns; C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) in 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.

For S2-0303, peak vertical runs of 4B and 3P and tie hands H28,H31,H50,H55 translate into 42 Rule 1, 0 Case 1, 0 Case 2, and 26 Case 3 Big Eye Boy marks.

Opening 9 Big Road Columns of S2-0303 (Seed 23439)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0303-C1:H1-2S2-0303:2BS2-0303:2B/0P/+0TS2-0303:R2StopS2-0303:2vs2
S2-0303-C2:H3-4S2-0303:2PS2-0303:2B/2P/+0TS2-0303:R2StopS2-0303:2vs2
S2-0303-C3:H5-5S2-0303:1BS2-0303:3B/2P/+0TS2-0303:R1StopS2-0303:1vs2
S2-0303-C4:H6-6S2-0303:1PS2-0303:3B/3P/+0TS2-0303:R1StopS2-0303:1vs1
S2-0303-C5:H7-7S2-0303:1BS2-0303:4B/3P/+0TS2-0303:R1StopS2-0303:1vs1
S2-0303-C6:H8-9S2-0303:2PS2-0303:4B/5P/+0TS2-0303:R2StopS2-0303:2vs1
S2-0303-C7:H10-10S2-0303:1BS2-0303:5B/5P/+0TS2-0303:R1StopS2-0303:1vs2
S2-0303-C8:H11-12S2-0303:2PS2-0303:5B/7P/+0TS2-0303:R2StopS2-0303:2vs1
S2-0303-C9:H13-13S2-0303:1BS2-0303:6B/7P/+0TS2-0303:R1StopS2-0303:1vs2
  • S2-0303 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0303 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0303 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0303 DERIVED-ROAD & NEXT-HAND PROBE

S2-0303 Lookback Audit (32R/36B BEB · 37R/29B SR · 27R/38B CP)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats. In S2-0303, Big Eye Boy finishes 32R/36B (47.1% Red), Small Road finishes 37R/29B (56.1% Red), and Cockroach Pig finishes 27R/38B (41.5% Red).

Evaluating getNextRoadPredictions() after Hand #75 in S2-0303 maps Banker on Hand #76 to BEB BLUE, SR BLUE, CP BLUE and Player on Hand #76 to BEB RED, SR RED, CP RED.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0303 causes a Blue mark on Row 2.
TruthRow 2 in S2-0303 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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