Simon, thanks for your response.  I think that the student was interested in 
something in between just having nice pictures and writing the code himself.  I 
am pretty sure the student is done with their project by now (it was for a 
class that I'm not teaching).

Dana

On Nov 4, 2010, at 8:14 AM, Simon King wrote:

> Hi Dana!
> 
> On 5 Okt., 19:17, "D.C. Ernst" <[email protected]> wrote:
>> I have a student that is interested in generating fractals (like the
>> Mandelbrot set).  Is this something Sage can do (or help with)?
> 
> Ist s/he interested in the fractals mathematically, as pictures, or as
> a nice example for practicing programming skills?
> 
> If it is about programming skills, it is certainly instructive to
> write a Sage-Python program generating Mandelbrot sets, using the
> Sage's plotting facilities. Such program will be very slow. And then,
> cythonize it! It is amazing how much Cython speeds the whole
> computation up, when you cdefine your complex coordinates as pair of
> doubles, and cdefine the indices of any tight loop as int.
> 
> Cheers,
> Simon
> 
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