In this video, I demonstrate how to generate a 4D Mandelbrot Set using the 4x4 matrix version of quaternions. To visualize this 4D volumetric data, I use the 3D volumetric data visualizer that I use in the 3D ultrasound applications I develop for work. Although we can't visualize a 4D volume direction, we can visualize two 3D volumes as I show in the video.
Here is a link to my paper: The Mandelbrot Set as a Quasi-Black Hole
