Wolfram|Alpha Mathematics

Fractals

Line Replacement Fractals

draw a fractal based on iterated line replacement
Koch snowflake Minkowski sausage Cesaro fractal

Shape Replacement Fractals ››

draw fractals based on replacement of shapes
Sierpinski gasket
draw fractals by repeatedly adding smaller figures
Pythagoras tree

Nowhere Differentiable Functions

plot an approximation to a nowhere-differentiable function
blancmange function, n=8
evaluate a nowhere-differentiable function at a point
Takagi function(123/467)

Space-filling Curves

plot an approximation to a space filling curve
Peano curve Hilbert-2 curve
specify the number of iterations to use
Hilbert curve, n=5

Mandelbrot & Julia Sets ››

plot a Julia set
Julia set -0.40+0.65i
plot the Mandelbrot set
Mandelbrot set
plot the multibrot set of exponent d
multibrot set, d=6

Fractals in 3D

draw the Sierpinski tetrahedron
Sierpinski tetrahedron
draw the Menger sponge
Menger sponge

Other Fractals

plot a curlicue fractal
curlicue fractal