- Everywhere continuous, nowhere differentiable function (in the infinite limit, anyway):
{{{p = Graphics() for n in range(1,20):
f = lambda x: sum([sin(x*3i)/(2i) for i in range(1,n)]) p += plot(f,0,float(pi/3),plot_points=2000,rgbcolor=hue(n/20))
p.show(xmin=0, ymin=0,dpi=250) }}}