Fractals

Julia Set

The Julia set is a family of fractals defined by the iterative map \( f_c(z) = z^2 + c \), where \( z, c \in \mathbb{C} \) and \( c \) is a fixed constant. Generating Julia sets is computationally straightforward, making them a useful benchmark for testing GPU implementations. The examples shown here were generated using CUDA C, with a discretized grid of \(10{,}000 \times 10{,}000\) points spanning the range \((-1.5, 1.5)\) in both the real and imaginary.