People seem to like my fractals: http://christopherolah.wordpress.com/2009/12/19/formation-of-escape-time-fractals/
I'm planning to write a convenience function for these sort of things, but they're fairly trivial otherwise. How to make these: Import (copy paste) William's compose function (it hasn't made its way into sage yet...) from http://trac.sagemath.org/sage_trac/ticket/7742. Then you can make a pretty forming Mandelbrot set like so: animate([complex_plot(compose(x^2-y,n,x)(y=x),[-3,3],[-3,3]) for n in range(15)]).show() There are of course plenty of variations. While I'm self-promoting, I'll mention that I got implicit plots printing on a 3d printer (though I only got a deformed sphere: maximum overhang on hacklab.to's printer is pi/4): http://trac.sagemath.org/sage_trac/ticket/7744 People may find that cool if you mention it, though demonstrations are likely infeasible. Some other recommendations: Do some complex plots of functions they're familiar with (sqrt, x->x^2, gamma, etc). Lot's of implicit plots, to. Here's a few interesting ones I stumbled on last year. sage: implicit_plot3d(( -(2-abs(x))^2 - 2/(2-y^2)/abs(z)+4)-(y^2+z^2),[-5,5],[-5,5],[-5,5]) Here's one that sort of demonstrates chaos in 3d: sage: implicit_plot3d((9-(3-x^2)^2)^2+(9-(3-y^2)^2)^2+(9-(3-z^2)^2)^2-81,[-5,5],[-5,5],[-5,5]) and then: implicit_plot3d((6561-(81-(9-(3-x^2)^2)^2)^2)^2+(6561-(81-(9-(3-y^2)^2)^2)^2)^2+(6561-(81-(9-(3-z^2)^2)^2)^2)^2-6561^2,[-5,5],[-5,5],[-5,5]).show() Christopher -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
