FRACTAL TRIPEXPLORE INFINITYTAKE A TRIP ✦
BEYOND THE PLANE

3D Fractals

Mandelbulbs, Mandelboxes, quaternion Julia slices, recursive solids and ray-marched distance fields.

VISUALRESEARCHEDDEEP DIVE
3D Fractals fractal artwork
Original Fractal Trip procedural render
BEYOND THE PLANE

No single canonical 3D Mandelbrot

Complex numbers have a natural two-dimensional algebra, but there is no unique 3D complex-number analogue. “3D Mandelbrot” therefore refers to several different constructions rather than one canonical object.

GO DEEPER

Major families

MANDELBULB

Mandelbulb

Spherical power-map construction popularized in 2009.

OPEN →MANDELBOX

Mandelbox

Fold-and-scale 3D escape-time architecture.

OPEN →RAY MARCH

Distance estimation

Render implicit surfaces without giant meshes.

OPEN →RECURSIVE

Menger sponge

Exact 3D self-similar geometry.

OPEN →
Sources & further reading:AMS Notices — 3D fractals