Re: [Maxima-discuss] Problem with draw2d(implicit(...))

[Thomas D. D. <to...@wa...>]

On 2020-03-20 15:34, Robert Dodier wrote:
> On Fri, Mar 20, 2020 at 3:10 PM Michel Talon <ta...@lp...> wrote:
> 
>> You are right, this is closer to what the plot should look like.  I have also tried with maple
>> as said by Thomas, it gives a very poor plot which looks quite the same as your own.
>> Apparently this is a very difficult problem for those plotters since the "rabbit ears" should
>> extend to (0,0) as shown by the plot of the Puiseux series. Now i understand how the Puiseux
>> developments are to be connected, precisely by these rabbit ears. You can see that on some range of
>> x there are 5 solutions to f(x,y)=0  and less in other ranges because some solutions become imaginary.
> 
> I don't understand why some methods for plotting this function work
> better than others. In addition to the ones already mentioned, there
> is also implicit_plot which yields yet another picture. Can someone
> explain why different methods give different results here?
> 
I think the number of points in the plot makes a difference.  Varying 
the number pf plots in Maple, I can make the plot not show the rabbit 
ears or to through 0,0.

In gnuplot, I believe bins=xxx controls the number of points used in the 
plot.  How can this be passed through from Maxima?

Tom Dean