Expanding the Mandelbrot Set into Higher Dimensions

Year: 2010 Authors: Javier Barrallo

Core claim

Although a strict 3D Mandelbrot analogue is not algebraically valid, spherical-coordinate methods and quaternions enable visually compelling higher-dimensional fractal projections.

Topics

Mandelbrot Set, Mandelbulb, quaternions, fractal geometry

Domains

complex dynamics, higher-dimensional algebra, quaternion calculus, iterated polynomials, fractal visualization, computer graphics, digital image generation, geometric projection

Methods

iterative mapping, spherical coordinates, quaternion projection, 3D slice rendering

Media

computer-generated images, 3D fractal renderings, projection surfaces, figures and diagrams

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.