"Four Sierpinski triangles interweave in three dimensions, each linked with, but not touching, the other three." By George Hart.

"The strange attractor of the driven pendulum at the parameter values γ= 0.052, a= 0.586, ω= 0.666. The direction of view is diagonal in the state space. The red sections are Poincaré sections at ψ= 0 (in front on the right side) and at x= -π (in front on the left side). The vertical axis is the angular velocity." By Robert Doerner.

Ducks Fractals Variation by Softology.

Sucessive generations of Asmus Schmidt’s complex continued fraction method.

Kaleidoscopic IFS Fractal
By Softology.

One Dimensional Totalistic Cellular Automaton. By Softology.

Mandelbulb

Ducks Fractals variations

Phase portrait and time series of the Moore-Spiegel Attractor

The Henon strange attractor

Two rules

This image is the result of two rules.

Inspired by Chladni patterns, Hans Jenny pioneered the field of Cymatics, a study of visible sound vibration. Tones played at fixed frequencies cause a vibration that creates patterns from light on water.

A close up of 4 of the hundredth roots of unity. By Ian Sammis.

Four elementary operation tables arranged in a pinwheel format (read more here).
By Magaret Kepner

Variations of the Mandelbox, a fractal discovered by Tom Lowe in 2010 by applying recursive spherical folding transformations to generate fractals.

An Escher-inspired painting on a sphere. By Dick Termes.