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