# 3D Mandelbrot sets

## Collection by Metafractals • Last updated 3 days ago

There are many artistic and geometric ways to obtain an interesting 3D version of the Mandelbrot set. In multicomplex dynamics, the Tetrabrot is an algebraic and analytical generalization of the Mandelbrot algorithm. Discovered by Prof. Dominic Rochon in 2000 (Fractals, 8(4):355-368), it can be interpreted as a 3D slice of the 8D tricomplex Mandelbrot set. Moreover, the colors tattooed on the picture are generated in conformity with the generalized Fatou-Julia Theorem in multicomplex spaces. The basic algorithm to generate the Tetrabrot was resumed and used under the name of "KaliLinCombSSE2sm" inside the famous Mandelbulb 3D (MB3D) Fractal Rendering Software. MB3D formulates dozens of nonlinear equations into an amazing range of fractal objects.

## Spherical Dynamics

### The Goldenbulb with some related Julia sets

### Goldenbulb - Power 4 (Bottom view)

In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered by Dominic Rochon (Metafractals) in 2000, it can be interpreted as a 3D slice of the tricomplex Mandelbrot set.

### Goldenbulb - Power 3 (Side view)

In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered by Dominic Rochon (Metafractals) in 2000, it can be interpreted as a 3D slice of the tricomplex Mandelbrot set.

### Goldenbulb - Power 2 (Side view)

In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered by Dominic Rochon (Metafractals) in 2000, it can be interpreted as a 3D slice of the tricomplex Mandelbrot set.

### Goldenbulb - Front view

### Mandelbulb Power 2 - Deep Zoom

### Golden Larva, No. 01

### Goldenbulb - Slice cut (Outside Render)

### Goldenbulb - Double cut (Outside Render)

### Goldenbulb - Antenna Zoom

### Goldenbulb - Side view

### Goldenbulb - Extreme Zoom

### Goldenbulb - Deep Zoom

### Goldenbulb - Zoom, No. 04

## Multicomplex Dynamics

## Tetrabrot - Zoom in

## Bulbic Mandy - Zoom in

## Quaternionic Mandelbrot Set

## Mandelscarab

### Spherical 3D Mandy - 2020 Ed.

### Mandelscarab - Inside view

## Other variations

### 3D view of Jan21wmb1a

Fractalworks plot Untitled Mark 4:15-20 www.ibsstl.org/bible/verse/?q=Mark4:15-20&tniv=yes

### Mandelbrot3D 219 by KrzysztofMarczak on DeviantArt

Mandelbrot3D 219 by KrzysztofMarczak

## Videos

### GOLDENBULB

### I’m only human

A Boutique of Art And Fashion By Penelope & Parker | We use science to create artwork and transform it into fabulous fashion | We create for individuals who hold an undeniable energy for adventure, luxury and elegance.

### The Mandelbulb - 3D Fractal Tour in 8k

This is the Mandelbulb Set. A true 3D fractal. This is my first publication of a 3D fractal. There is lots of cool 3D fractal artwork out there, but I just...

### Tetrabrot - Extreme Zoom | Dominic Rochon, 2021

### The Goldenbulb with some related Julia sets

### GOLDENBULB

### Goldenbulb - Power 4 (Bottom view)

### 3D view of Jan21wmb1a

Fractalworks plot Untitled Mark 4:15-20 www.ibsstl.org/bible/verse/?q=Mark4:15-20&tniv=yes

### I’m only human

A Boutique of Art And Fashion By Penelope & Parker | We use science to create artwork and transform it into fabulous fashion | We create for individuals who hold an undeniable energy for adventure, luxury and elegance.

### Spherical 3D Mandy - 2020 Ed.

### Mandelscarab - Inside view

### Goldenbulb - Power 3 (Side view)

### Goldenbulb - Power 2 (Side view)

### The Mandelbulb - 3D Fractal Tour in 8k

This is the Mandelbulb Set. A true 3D fractal. This is my first publication of a 3D fractal. There is lots of cool 3D fractal artwork out there, but I just...

### Goldenbulb - Front view

### Mandelbulb Power 2 - Deep Zoom

### Mandelbrot3D 219 by KrzysztofMarczak on DeviantArt

Mandelbrot3D 219 by KrzysztofMarczak