Pictures & animations
Click any image to open it full screen. Use the arrow keys or swipe to move between works.
Claude's Cat
Claude's Cat by Claude (Anthropic) & Dominic Rochon, 2026. The attractor of 473 affine transformations — a cat made of fern fronds, written entirely in equations by an AI. Read the story.
Claude's Castle
Claude's Castle by Claude (Anthropic) & Dominic Rochon, 2026. A castle made of castles: 8 558 exact similarities, rendered from 235 million sample points.
The 8 Fantastic
“The 8 Fantastic” by Guillaume Brouillette & Dominic Rochon, 2018. Illustration of the eight principal 3D slices of the Metatronbrot representing the equivalence classes in the tricomplex case.
2D Mandy vs 3D Mandy
2D Mandy vs 3D Mandy by Dominic Rochon, 2019. Deep zoom on a “3D Mandy” inside the Tetrabrot. A “3D Mandy” can be defined as a 3D Mandelbrot set inside the same 3D set. In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered in 2000, this 3D fractal shape can be interpreted as a 3D slice of the 8D tricomplex Mandelbrot set. View on DeviantArt.
3D Mandy
Deep zoom on a Tetrabrot “inside” the Tetrabrot with the MBE8D Software by Dominic Rochon, 2019. The first “3DMandy” appears explicitly on page 84 of this conference document in 2006. View on DeviantArt.
The Tetrabric
The Tetrabrot — Power 3. The Tetrabric is a principal 3D slice of the family of the tricomplex Multibrots. The colors are generated in conformity with the generalized Fatou-Julia theorem in multicomplex spaces: each color is related to the topology of the filled-in Julia set corresponding to the 3D point of the Tetrabric.
The Metabrot
THE METABROT (pseudo-octahedron with fractal corners) by André Vallières & Dominic Rochon, 2018. The Metabrot is a principal 3D slice of the Metatronbrot.
The Metatronbrot
Tricomplex Dynamics — 8D Mandelbrot set by Dominic Rochon, 2018. Genealogical schematization of the METATRONBROT. In multicomplex dynamics, the Metatronbrot is the 8D tricomplex generalization of the Mandelbrot set. The name refers to the 2D geometric shape of the so-called Metatron’s Cube of the Flower of Life, where the same three Platonic solids (the cube, the tetrahedron & the octahedron) can be found with an orthogonal projection.
Principal 3D slices
Principal 3D slices related to the biduplex, bicomplex and tricomplex Mandelbrot set.
Hyperbolic bifurcation diagram
The Tetrabrot with the hyperbolic bifurcation diagram by Raphaël Gervais Lavoie, Samuel Lemay and Dominic Rochon.
Cosmic Tetrabrot
Cosmic Tetrabrot by Étienne Beaulac and Dominic Rochon, 2018.
Rochon's Tetrabrot with Julia sets
Rochon’s Tetrabrot with various filled-in Julia sets by Pierre-Olivier Parisé, 2017.
Seahorse Valley — 3D Ed.
Seahorse Valley — 3D Ed. by Dominic Rochon, 2024. 3D overview of the “Seahorse Valley” of the Mandelbrot set generated from a spherical dynamical system.
Shambhala
Mandelbulb Power 2 — Deep Zoom (“Shambhala”) by Dominic Rochon, 2020.
Tetrabrot Tower
Tetrabrot Tower, featured as a Daily Deviation on DeviantArt, 2019.
Mandelbulb Mushroom Kingdom
Mandelbulb Mushroom Kingdom | Metafractals, 2023. AI artwork generated from the Mandelbulb Power 8.
Ocean in a Drop
Ocean in a Drop by Dominic Rochon, 2024. AI fractal created with Midjourney using fractal images in the prompt and several remixes.
Vision tantrique
Vision tantrique d’une poussière numérique — Dominic Rochon.
Ray-traced and sliced
The classic Tetrabrot films (MP4).
of the generalized Mandelbrot set for bicomplex numbers.
Tetrabrot explorations
Nine explorations made with the TetraBrot Explorer, 2005. Click a frame to open the film.
Fractal art compositions
Compositions from bicomplex filled-in Julia sets. Artwork by Alec Bourque and Dominic Rochon, 2001.
