The Mandelbrot set is a fractal, meaning that its boundary is so complex that it cannot be wellapproximated by one-dimensional line segments, regardless of how closely one zooms in on it. In fact, the ...

This project demonstrates a complete hardware/software co-design of a real-time Mandelbrot Set fractal explorer, accelerated on a Xilinx Zynq-7000 SoC (PYNQ-Z1). The system leverages the parallelism ...

It is shown that the boundary of the Mandelbrot set M has Hausdorff dimension two and that for a generic c ∈ ∂ M, the Julia set of z $\mapsto $ z2 + c also has Hausdorff dimension two. The proof is ...