I created a captivating and innovative 3D representation of the Mandelbrot set. By projecting the intricate details of the Mandelbrot set into three-dimensional space, I unlocked a new perspective on ...

In this paper, a novel broadband antenna based on three-dimensional (3D) Mandelbrot fractal geometry is proposed. The 3D Mandelbrot fractal geometry is applied to the antenna design in the first time ...

Another method of making a 3D Mandelbrot, shown here, keeps the 2D version, but swaps the different colours for changes in height.

The most famous fractal equation is the 2D Mandelbrot set, named after the mathematician Benoît Mandelbrot of Yale University, who coined the name “fractals” for the resulting shapes in 1975.

Imagine if the Mandelbrot Set was made of pure gold! This is my first attempt at a ray-traced 3D rendering of the Mandelbrot Set. Of course, the Mandelbrot ...

If you wish to support my work, consider joining Patreon. This video projects the 2D Mandelbrot fractal into 3D using the iteration data for the vertical axis. It is rendered with Yann's own software ...

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 ...