#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 SimonKing):

 Here is another slowness of the current code: `varia._sub_(root).abs()`,
 which needs to compute a square root. But in order to find out whether
 `varia._sub_(root).abs()<2/3`, we could more easily test whether the sum
 of the squares of real and imaginary part is smaller than `4/3`.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11837#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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