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 ...

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

Mandelbrot_Tensor_Windows_Adaptation A Tensorflow Mandelbrot tutorial adapted to work for Windows ...

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 ...

All engineering surfaces are of certain degree of roughness and comprising asperities of various size. When two rough surfaces contact with each other, the contact load will be dispersed by numerous ...

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 ...

This paper provides a description for the quadratic polynomials on the boundary of the Mandelbrot set M which are typical in the sense of harmonic measure. In particular, it is shown that a typical ...