Parametric plots won't work for general algebraic curves.
But I'm also not sure how to implement the transformation into a circle. I'll look at the documentation for plots.
Fernando On 3/1/2020 8:50 AM, David Joyner wrote:
On Sat, Feb 29, 2020 at 5:29 PM Fernando Gouvea <fqgou...@colby.edu <mailto: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)/(r^2 + x^2 + y^2 )^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_plotTo 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 GoogleGroups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com <mailto: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 <mailto: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 <https://groups.google.com/d/msgid/sage-support/CAEQuuAUukezRFvtNBmhb6VPfkT0AjvbbGE55%2BM7xj90ZhLk2Lw%40mail.gmail.com?utm_medium=email&utm_source=footer>.
-- ============================================================= Fernando Q. Gouvea http://www.colby.edu/~fqgouvea Carter Professor of Mathematics Dept. of Mathematics and Statistics Colby College 5836 Mayflower Hill Waterville, ME 04901 There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be returned. -- R. L. Wilder, Introduction to the Foundations of Mathematics. -- 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/bed66ea0-71e7-5848-748a-1b0b5ee5c466%40colby.edu.
