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Pascal's triangle: start with 1. Each row: 1 at each end, middle numbers = sum of two above. Row 1: 1. Row 2: 1 1. Row 3: 1 2 1. Row 4: 1 3 3 1. Row 5: 1 4 6 4 1. Patterns: rows are powers of 11 (11โฐ=1, 11ยน=11, 11ยฒ=121, 11ยณ=1331...), diagonal sums = Fibonacci numbers, coefficients of (a+b)โฟ. Pascal's triangle has infinitely many patterns!