DR269 pairs Period-3 Cockroach Alignment (Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3) with Analytical Modality (Formal Index Notation): learners verify Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3, master Cockroach Pig Three-Column Periodicity Check (m=3), and eliminate checking adjacent columns when auditing cockroach pig diagonal slashes.
DR269 drill board (BBPPPBBBBPPBPPPPPTBBPP): 8 Big Road columns, 18 Big Eye Boy, 15 Small Road, and 11 Cockroach Pig marks.
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.
This bead is at Row 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.
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.
Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3
Cockroach Pig Three-Column Periodicity Check (m=3)
Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3
Checking adjacent columns when auditing Cockroach Pig diagonal slashes
Count back three full Big Road columns to verify Cockroach Pig parity by writing out (k, r) and (k-m, r) coordinates to prove the derived output
Built around GMU ANALYTICAL · INDEX PROOF, unit DR269 examines Period-3 Cockroach Alignment (Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3), using 18 Big Eye Boy comparisons in BBPPPBBBB to achieve count back three full big road columns to verify cockroach pig parity.
Checking the first explained mark in DR269 (Period-3 Cockroach Alignment), Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠). Simultaneously, Small Road plots 15 marks and Cockroach Pig plots 11 marks while writing out (k, r) and (k-m, r) coordinates to prove the derived output.
| DR269 Drill Dimension | Coordinate / Rule | GMU Modality Action |
|---|---|---|
| DR269 Matrix Coordinate | Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3 | Analytical Modality (Formal Index Notation) |
| DR269 Rule & Depth | Cockroach Pig Three-Column Periodicity Check (m=3) | Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3 |
| DR269 Diagnostic Target | Checking adjacent columns when auditing Cockroach Pig diagonal slashes | Count back three full Big Road columns to verify Cockroach Pig parity |
On the companion derived road in DR269, This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Combining Analytical Coordinate Proof with Cockroach Pig Three-Column Periodicity Check (m=3) keeps 8-column reading error-free.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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Test any shoe sequence and inspect Rule 1 and Rule 2 derived road marks.
Review the 5-road architecture from Bead Plate and Big Road to Cockroach Pig.
Practice companion coordinate lookups, depth comparisons, and rule checks.
Practice companion coordinate lookups, depth comparisons, and rule checks.