The pictures of individual curves were plotted using software developed at The Geometry Center, at the University of Minnesota. Specifically, those pictures were plotted using the application "algcurve". The idea for this program was originally due to Professor Audun Holme of the University of Bergen. The program was written by members of the staff of the Geometry Center and was later incorporated into the Pisces platform.
After the output from algcurve was converted to .gif format, the images were embellished to put them in the form that is posted here. This included use of the unix program xpaint. If you have access to xpaint or other software for manipulating .gif files, you can download and experiment with copies of the curve images - for instance, seeing how various lines or circles intersect the given curve.
The two families of plane curves were drawn using Maple,
more specifically the implicitplot
command in Maple's Plots package. One can make similar plots
by using suitable Matlab graphics commands -- for instance the
family scripts described on the
Math 5385 computer tools page.
Prof. Joel Roberts
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
Office: 351 Vincent Hall
Phone: (612) 625-1076
Dept. FAX: (612) 626-2017
The opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.