Multi-Rule Solving

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Strategies for puzzles with multiple simultaneous pattern rules.

Harder matrix puzzles combine multiple rules—for example, shapes might follow a row pattern while sizes follow a column pattern and fill follows a diagonal. Solving these requires systematically checking each attribute independently, then combining the constraints to find the unique answer that satisfies all rules simultaneously.

Answer = intersection of all rule constraints

• 2 rules: Row shapes (circle, square, triangle) + Column sizes (small, medium, large)
• 3 rules: Constant shape + Row fill + Column size
• 4 rules: Diagonal shape + Anti-diagonal fill + Row size + All-different shapes per row

How to recognize it

• Analyze each attribute (shape, size, fill) separately
• Write down what each attribute should be based on its rule
• Combine constraints: the answer must satisfy ALL rules
• Eliminate options that violate any single rule

Common mistakes

• Finding one rule and stopping the search
• Not checking all three attributes independently
• Choosing an answer that matches some but not all rules

Practice guidance

Pattern Recognition