Mandelbrot and Julia

Z => Z^2 +C;      Z, C are both complex numbers. ============================================= Mandelbrot set is defined as the set of C values for which successive iterates of 0 under Z do not converge to infinity. ============================================= Julia set is defined as the set of all complex numbers Z, that the iteration is bounded for a particular value of C. Mandelbrot & Julia Animation A Animation B

The Golden Spiral

The Golden Ratio

Logistic Equation Entropy

Xn+1 = kXn(1-Xn) ============================================= Used in ecology as a model for predicting population growth. Entropy

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