So, I must be some sort of ancient fuddy-duddy. It is true that I went to college before the internet was really a pervasive thing like it is today, but there is not excuse for not executing some simple searches of likely places.

I was goofing off and looking through my Google+ stream, and I came across this nice link in a post by Alexander Kruel:

http://en.wikipedia.org/wiki/List_of_curves

Of course, on it there is a link to their list of surfaces:

http://en.wikipedia.org/wiki/List_of_surfaces

Now I just have to sift through and pick some examples to show off to the students. I have a few to add of my own that don’t appear on those lists exactly. Hey, that gives me an idea!

Students could improve some wikipedia pages as a way of sharing their work. I have never done that. Has anyone tried that? Is it plausible as an assessment?

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Also useful: MacTutor’s Famous Curves Index http://www-history.mcs.st-and.ac.uk/Curves/Curves.html

A few years ago, it might have been a good idea to set students on the math portions of Wikipedia, but at this point I would advise against it, given the sometimes arcane rules and conventions that govern that community. Maybe a class blog instead to showcase students’ work?

Thanks, Josh. Do you have experience with this? It is the kind of thing I was afraid of.

Oh, yeah. I forgot about the MacTutor site, too. I am getting old.

some interactive examples can be found here:

http://demonstrations.wolfram.com/topic.html?topic=Differential+Geometry&limit=20

your students could even do some demonstrations themselvs and upload them, however if they don’t know mathematica yet that might be too much to ask for.

Thanks. Those will make for good inspiration. I prefer the free, open-source project Sage

http://www.sagemath.org

But UNI has a site license for Mathematica, so a student could use it if they so chose.