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Fractals

Exploring infinite complexity through recursive mathematical patterns and interactive visualizations

Mandelbrot Set Explorer

Click + drag to zoom: Zoom level = 1.0

Mathematical Core

while (|z| < 2 && i < MAX_ITER) {\n z = z * z + c; i++; }

Julia Set Dynamics

Parameter c = 0.3 + 0.5i

Parameter Space

Julia sets are parameterized by the complex value c. Different values create:

  • • Connected sets (c = -0.70176 - 0.3842i)
  • • Dust-like sets (c = 0.3 + 0.5i)
  • • Spiral patterns (c = -0.8 + 0.156i)

Control Panel

Color Schemes

Render Options