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GMU ANALYTICAL · INDEX PROOF · DR149

Bead Plate 6-Row Modulo — Analytical Coordinate Proof (DR149)

DR149 pairs Bead Plate 6-Row Modulo (Bead Plate column = floor(h/6), row = (h mod 6) + 1) with Analytical Modality (Formal Index Notation): learners verify Hand 13 lands on Bead Plate (col 3, row 1) regardless of streak length, master Chronological 6-Row Modulo Grid Coordinate Mapping, and eliminate starting a new bead plate column on a banker/player switch like the big road.

Drill Reference ID
DR149
Big Road Streaks
10 Cols
Big Eye Boy Total
19 Marks
Small Road Total
16 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

DR149 drill board (BBPPPBBBBPPBPPPPPBPBBP): 10 Big Road columns, 19 Big Eye Boy, 16 Small Road, and 12 Cockroach Pig marks.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy · Mark #3

Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

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

Small Road · Mark #5

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Cockroach Pig · Mark #3

Column 5 has 1 bead. Column 2 has 3 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 3 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

DR149 Target Coordinate
Bead Plate 6-Row Modulo

Bead Plate column = floor(h/6), row = (h mod 6) + 1

DR149 Rule Classification
Analytical Coordinate Proof

Chronological 6-Row Modulo Grid Coordinate Mapping

DR149 Depth Comparison
10 Big Road Cols

Hand 13 lands on Bead Plate (col 3, row 1) regardless of streak length

DR149 Misconception Focus
Diagnostic Check

Starting a new Bead Plate column on a Banker/Player switch like the Big Road

DR149 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Map any hand number h to its exact Bead Plate column and row coordinate by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR149 · Coordinate & Rule Specification

DR149 Bead Plate 6-Row Modulo: Analytical Coordinate Proof Walkthrough

Guided by Analytical Modality (Formal Index Notation), drill DR149 walks through Bead Plate 6-Row Modulo (Chronological 6-Row Modulo Grid Coordinate Mapping) across 10 Big Road streaks and 19 derived marks in BBPPPBBBB-PPBPPPPPB.

For coordinate Bead Plate column = floor(h/6), row = (h mod 6) + 1 in DR149, Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠). Meanwhile, 16 Small Road and 12 Cockroach Pig comparisons reinforce Analytical Coordinate Proof.

Table DR149: Bead Plate 6-Row Modulo specification under Analytical Coordinate Proof.
DR149 Drill DimensionCoordinate / RuleGMU Modality Action
DR149 Matrix CoordinateBead Plate column = floor(h/6), row = (h mod 6) + 1Analytical Modality (Formal Index Notation)
DR149 Rule & DepthChronological 6-Row Modulo Grid Coordinate MappingHand 13 lands on Bead Plate (col 3, row 1) regardless of streak length
DR149 Diagnostic TargetStarting a new Bead Plate column on a Banker/Player switch like the Big RoadMap any hand number h to its exact Bead Plate column and row coordinate
  • DR149 Step 1: Locate Bead Plate column = floor(h/6), row = (h mod 6) + 1 across the 10 columns of BBPPPBBBBPPB.
  • DR149 Step 2: Verify Hand 13 lands on Bead Plate (col 3, row 1) regardless of streak length under Chronological 6-Row Modulo Grid Coordinate Mapping.
  • DR149 Step 3: Answer "What are the exact 1-based and 0-based indices for the active comparison?" via writing out (k, r) and (k-m, r) coordinates to prove the derived output.
DR149 · Analytical Modality (Formal Index Notation)

DR149 Misconception Diagnostic & Secondary Road Audit

Closing DR149 (Bead Plate 6-Row Modulo · Analytical Coordinate Proof), This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Mastering Chronological 6-Row Modulo Grid Coordinate Mapping over 10 columns builds lasting scoreboard accuracy.

Table Reality Check

Myth vs. Truth

MythIn DR149 (Bead Plate 6-Row Modulo), starting a new bead plate column on a banker/player switch like the big road or reading red/blue derived marks as Banker/Player outcomes.
TruthChronological 6-Row Modulo Grid Coordinate Mapping evaluates Hand 13 lands on Bead Plate (col 3, row 1) regardless of streak length; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android