On Sat, Feb 29, 2020 at 5:29 PM Fernando Gouvea <fqgou...@colby.edu> wrote:
> Some years ago in a book review, David Roberts had the idea of plotting an > algebraic curve using the transformation (u,v) = (x,y)/(r2 + x2 + y2)1/2, > which transforms the plane into a circle and makes it easy to visualize the > projective completion of the curve. > > You can see some of his plots at > https://www.maa.org/press/maa-reviews/rational-algebraic-curves-a-computer-algebra-approach > > These look like 2d parametric plots. https://doc.sagemath.org/html/en/reference/plotting/sage/plot/plot.html#sage.plot.plot.parametric_plot To combine two (or more) par. plots on the same axis, just add the corresponding graphics objects. There are examples on the pages linked to above. > I’d love to do this kind of plot for my students. Can anyone offer help on > how to do it with Sage? (Of course the dream scenario would be to add this > option to the plot method for curves...) > > I’ve been using implicit_plot for most of my examples, which seems to be > equivalent of using C.plot() when C is a curve. > > Thanks, > > Fernando > > > > > > -- > ================================================================== > Fernando Q. Gouvea Editor, MAA > Reviews > Dept of Mathematics and Statistics > http://www.colby.edu/~fqgouvea > Colby College > http://www.maa.org/press/maa-reviews > Mayflower Hill 5836 > Waterville, ME 04901 > > A training in mathematics is a prerequisite today for work in almost > any scientific field, but even for those who are not going to become > scientists, it is essential because, if it is only through speech that > we can understand what freedom means, only through mathematics > can we understand what necessity means. > -- W. H. Auden > > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/CAPON7s8KPbT-cLo_4FHJN-WqoqHi82%3DmgS1HBAD8SJqDxqkFDg%40mail.gmail.com > <https://groups.google.com/d/msgid/sage-support/CAPON7s8KPbT-cLo_4FHJN-WqoqHi82%3DmgS1HBAD8SJqDxqkFDg%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAEQuuAUukezRFvtNBmhb6VPfkT0AjvbbGE55%2BM7xj90ZhLk2Lw%40mail.gmail.com.