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GMU VISUAL MODALITY · GRID TRACE · DR251

3-2-3-2 Depth Alternation — Visual Grid Trace (DR251)

DR251 pairs 3-2-3-2 Depth Alternation (Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks) with Visual Modality (Spatial Matrix Inspection): learners verify For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red), master Lookback Divergence: Big Eye Boy Blue vs Small Road Red, and eliminate assuming all three derived roads must show the same color on a hand.

Drill Reference ID
DR251
Big Road Streaks
12 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 24 Hands

Read the Board at Table Speed

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

DR251 drill board (BBPPBBBPPBPPPBBPBBPTBPPP): 12 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 15 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

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

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

Small Road · Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig · Mark #1

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns 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.

Verified Reference Data

Key Facts & Table Specifications

DR251 Target Coordinate
3-2-3-2 Depth Alternation

Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks

DR251 Rule Classification
Visual Grid Trace

Lookback Divergence: Big Eye Boy Blue vs Small Road Red

DR251 Depth Comparison
12 Big Road Cols

For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red)

DR251 Misconception Focus
Diagnostic Check

Assuming all three derived roads must show the same color on a hand

DR251 GMU Modality Goal
Visual Modality (Spatial Matrix Inspection)

Verify why Small Road (m=2) marks red while Big Eye Boy (m=1) marks blue by sight-tracing column heights and reference cells across the 6-row grid

DR251 · Coordinate & Rule Specification

DR251 3-2-3-2 Depth Alternation: Visual Grid Trace Walkthrough

Coordinate exercise DR251 (3-2-3-2 Depth Alternation · Visual Grid Trace) checks Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks over shoe BBPPBBBPPBPPPBBPBB, where 12 streaks generate 20 Big Eye Boy entries.

Analytical checkpoint DR251 (Visual Grid Trace) notes: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Those 18 Small Road and 15 Cockroach Pig marks illustrate Lookback Divergence: Big Eye Boy Blue vs Small Road Red in action.

Table DR251: 3-2-3-2 Depth Alternation specification under Visual Grid Trace.
DR251 Drill DimensionCoordinate / RuleGMU Modality Action
DR251 Matrix CoordinateBig Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacksVisual Modality (Spatial Matrix Inspection)
DR251 Rule & DepthLookback Divergence: Big Eye Boy Blue vs Small Road RedFor m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red)
DR251 Diagnostic TargetAssuming all three derived roads must show the same color on a handVerify why Small Road (m=2) marks red while Big Eye Boy (m=1) marks blue
  • DR251 Step 1: Locate Big Road depths [3, 2, 3, 2] comparing m=1 vs m=2 lookbacks across the 12 columns of BBPPBBBPPBPP.
  • DR251 Step 2: Verify For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red) under Lookback Divergence: Big Eye Boy Blue vs Small Road Red.
  • DR251 Step 3: Answer "Which exact reference cell or column depth governs the active coordinate?" via sight-tracing column heights and reference cells across the 6-row grid.
DR251 · Visual Modality (Spatial Matrix Inspection)

DR251 Misconception Diagnostic & Secondary Road Audit

Diagnostic synthesis DR251 (3-2-3-2 Depth Alternation) confirms: This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). Throughout all 12 Big Road streaks, red (=) and blue (≠) reflect structure rather than next-hand odds.

Table Reality Check

Myth vs. Truth

MythIn DR251 (3-2-3-2 Depth Alternation), assuming all three derived roads must show the same color on a hand or reading red/blue derived marks as Banker/Player outcomes.
TruthLookback Divergence: Big Eye Boy Blue vs Small Road Red evaluates For m=1, d_3=3 != d_2=2 (Blue); for m=2, d_3=3 == d_1=3 (Red); derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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  • 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