Examples for

A fractal is an object or quantity that exhibits self-similarity on all scales. Use Wolfram|Alpha to explore a vast collection of fractals and to visualize beautiful chaotic and regular behaviors. Examine named fractals, visualize iteration rules, compute fractal dimension and more.

Compute properties regarding fractals created by repeatedly applying iteration rules on curves.

Ask about continuous functions that are nowhere differentiable or ask for the value at a particular point.

Examine fractal behavior in three dimensions.

Compute properties regarding fractals created by repeatedly applying iteration rules on shapes.

Perform various iterations whose limiting behaviors lead to space-filling curves.

Explore various types of fractals.

Compute and visualize Mandelbrot and associated Julia sets.