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GMU VISUAL MODALITY · GRID TRACE · DR101

Rule 2 Case 2c Over-Depth Red — Visual Grid Trace (DR101)

DR101 pairs Rule 2 Case 2c Over-Depth Red (Continuing column row r >= d_{k-m} + 2 where two reference cells are empty) with Visual Modality (Spatial Matrix Inspection): learners verify Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+, master Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=), and eliminate forgetting rule 2's third case where two empty reference cells produce red (=).

Drill Reference ID
DR101
Big Road Streaks
12 Cols
Big Eye Boy Total
19 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 22 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 P B P B B P
Big Eye Boy = = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠
Small Road = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠
Cockroach Pig = = ≠ = = = = = ≠ ≠ ≠ ≠ = =

DR101 drill board (BBPPBBBPPBPPPBBPPBPBBP): 12 Big Road columns, 19 Big Eye Boy, 17 Small Road, and 14 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 #3

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

DR101 Target Coordinate
Rule 2 Case 2c Over-Depth Red

Continuing column row r >= d_{k-m} + 2 where two reference cells are empty

DR101 Rule Classification
Visual Grid Trace

Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)

DR101 Depth Comparison
12 Big Road Cols

Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+

DR101 Misconception Focus
Diagnostic Check

Forgetting Rule 2's third case where two empty reference cells produce red (=)

DR101 GMU Modality Goal
Visual Modality (Spatial Matrix Inspection)

Explain why extending a long streak 2+ rows past d_{k-m} turns red (=) by sight-tracing column heights and reference cells across the 6-row grid

DR101 · Coordinate & Rule Specification

DR101 Rule 2 Case 2c Over-Depth Red: Visual Grid Trace Walkthrough

Guided by Visual Modality (Spatial Matrix Inspection), drill DR101 walks through Rule 2 Case 2c Over-Depth Red (Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)) across 12 Big Road streaks and 19 derived marks in BBPPBBBPP-BPPPBBPPB.

For coordinate Continuing column row r >= d_{k-m} + 2 where two reference cells are empty in DR101, This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Meanwhile, 17 Small Road and 14 Cockroach Pig comparisons reinforce Visual Grid Trace.

Table DR101: Rule 2 Case 2c Over-Depth Red specification under Visual Grid Trace.
DR101 Drill DimensionCoordinate / RuleGMU Modality Action
DR101 Matrix CoordinateContinuing column row r >= d_{k-m} + 2 where two reference cells are emptyVisual Modality (Spatial Matrix Inspection)
DR101 Rule & DepthRule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+
DR101 Diagnostic TargetForgetting Rule 2's third case where two empty reference cells produce red (=)Explain why extending a long streak 2+ rows past d_{k-m} turns red (=)
  • DR101 Step 1: Locate Continuing column row r >= d_{k-m} + 2 where two reference cells are empty across the 12 columns of BBPPBBBPPBPP.
  • DR101 Step 2: Verify Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+ under Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=).
  • DR101 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.
DR101 · Visual Modality (Spatial Matrix Inspection)

DR101 Misconception Diagnostic & Secondary Road Audit

Closing DR101 (Rule 2 Case 2c Over-Depth Red · Visual Grid Trace), This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). Mastering Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=) over 12 columns builds lasting scoreboard accuracy.

Table Reality Check

Myth vs. Truth

MythIn DR101 (Rule 2 Case 2c Over-Depth Red), forgetting rule 2's third case where two empty reference cells produce red (=) or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Case 2c Consecutive Empty Reference Cells returning Red (=) evaluates Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+; 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