🔍 Pattern Finder

Explore Pascal's Triangle, Fibonacci, Magic Squares, Number Grids & Fractals

Rows: Highlight:

Hidden Patterns: Each row sums to 2ⁿ. Diagonals contain natural numbers, triangular numbers, tetrahedral numbers. Highlighting multiples reveals Sierpinski-like fractal patterns.

Terms:

Golden Ratio: The ratio of consecutive Fibonacci numbers converges to φ ≈ 1.6180339887... The spiral approximates a logarithmic spiral found in shells, galaxies, and hurricanes.

Size:

Magic Constant: For an n×n magic square with numbers 1 to n², the magic constant = n(n²+1)/2. Every row, column, and main diagonal sums to this value.

Grid: Highlight:

Fractal: Depth:

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