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GMU VISUAL MODALITY · GRID TRACE · DR241

Double-Jump 2x2 Symmetry — Visual Grid Trace (DR241)

DR241 pairs Double-Jump 2x2 Symmetry (BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4) with Visual Modality (Spatial Matrix Inspection): learners verify Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2), master Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell, and eliminate thinking row 2 of a 2x2 pattern turns blue before the column switches.

Drill Reference ID
DR241
Big Road Streaks
10 Cols
Big Eye Boy Total
19 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 22 Hands

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

DR241 drill board (BBPPBBBPPBPPPBBPPPBBBP): 10 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 #5

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

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 3 beads. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

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

DR241 Target Coordinate
Double-Jump 2x2 Symmetry

BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4

DR241 Rule Classification
Visual Grid Trace

Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell

DR241 Depth Comparison
10 Big Road Cols

Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2)

DR241 Misconception Focus
Diagnostic Check

Thinking Row 2 of a 2x2 pattern turns blue before the column switches

DR241 GMU Modality Goal
Visual Modality (Spatial Matrix Inspection)

Trace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe by sight-tracing column heights and reference cells across the 6-row grid

DR241 · Coordinate & Rule Specification

DR241 Double-Jump 2x2 Symmetry: Visual Grid Trace Walkthrough

Under Visual Grid Trace (DR241), Double-Jump 2x2 Symmetry isolates BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 and Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2), turning BBPPBBBPP-BPPPBBPPP into a hands-on 19-mark verification.

Applying Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell in DR241, Column 3 has 3 beads. Column 2 has 2 beads. Different depth → blue (≠). Those 17 Small Road dots and 14 Cockroach Pig slashes accompany BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 during sight-tracing column heights and reference cells across the 6-row grid.

Table DR241: Double-Jump 2x2 Symmetry specification under Visual Grid Trace.
DR241 Drill DimensionCoordinate / RuleGMU Modality Action
DR241 Matrix CoordinateBB-PP-BB-PP columns of depth 2 across Big Road cols 1-4Visual Modality (Spatial Matrix Inspection)
DR241 Rule & DepthRule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled CellRow 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2)
DR241 Diagnostic TargetThinking Row 2 of a 2x2 pattern turns blue before the column switchesTrace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe
  • DR241 Step 1: Locate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across the 10 columns of BBPPBBBPPBPP.
  • DR241 Step 2: Verify Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) under Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell.
  • DR241 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.
DR241 · Visual Modality (Spatial Matrix Inspection)

DR241 Misconception Diagnostic & Secondary Road Audit

Inside DR241 (GMU VISUAL MODALITY · GRID TRACE), This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). Every step of Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell and Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) holds across 10 columns.

Table Reality Check

Myth vs. Truth

MythIn DR241 (Double-Jump 2x2 Symmetry), thinking row 2 of a 2x2 pattern turns blue before the column switches or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell evaluates Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,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
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