#11837: Make Newton basin plotting fun and easy
---------------------------+------------------------------------------------
   Reporter:  kcrisman     |          Owner:  jason, was                     
       Type:  enhancement  |         Status:  new                            
   Priority:  major        |      Milestone:                                 
  Component:  graphics     |       Keywords:  fractal newton complex plot    
Work_issues:               |       Upstream:  N/A                            
   Reviewer:               |         Author:  Karl-Dieter Crisman, SImon King
     Merged:               |   Dependencies:                                 
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Comment(by kcrisman):

 Okay, this is great.
 {{{
 basin_plot([-1,1,3],(-.2,.1),(-.1,.1),plot_points=1000,figsize=7)
 }}}
 is [attachment:Betterfractal.png here].  It only takes 20 seconds.  Still
 not ideal, but usable for this kind of detail.

 ----

 I still feel like there are possible speedups - especially in terms of
 doing something smarter than just searching through all the roots each
 time looking for whether they are close enough.  But I think that this is
 probably sufficient for turning into a patch.  I would want to base it on
 the long-suffering #11273, which I need to finally finish reviewing, and
 which has modularized the color plotting a bit.  Thank you VERY much for
 this teamwork.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11837#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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