Compute properties regarding fractals created by repeatedly applying iteration rules on curves.
Draw a fractal based on iterated line replacement:
Compute properties regarding fractals created by repeatedly applying iteration rules on shapes.
Draw fractals based on replacement of shapes:
Draw fractals by repeatedly adding smaller figures:
Ask about continuous functions that are nowhere differentiable or ask for the value at a particular point.
Plot an approximation to a nowhere-differentiable function:
Evaluate a nowhere-differentiable function at a point:
Perform various iterations whose limiting behaviors lead to space-filling curves.
Plot an approximation to a space-filling curve:
Specify the number of iterations to use:
Compute and visualize Mandelbrot and associated Julia sets.
Plot a Julia set:
Plot the Mandelbrot set:
Plot the Multibrot set of exponent d :
Examine fractal behavior in three dimensions.
Draw the Sierpinski tetrahedron:
Draw the Menger sponge:
Explore various types of fractals.
Plot a curlicue fractal: