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

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

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