Talk:Circle Limit Exploration

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Here's some comments on this page:

  • Should be moved to a title with a capital 'G' in geometry. In fact, maybe a better name for it would be something like Circle Limits Exploration
  • This is open for discussion, but I'm trying to avoid including Escher's work in stuff like this unless it's either been altered to make a point (say, highlight a section of it as in Image:Hyp-circle-limit-i-tess.png) or for the students to draw on. That said, I'd suggest you remove the image of Circle Limit III and replace it with the link [[Circle Limit III]. Leave in the image of Circle Limit I, II, IV since you want students to draw on them, but also include the links to the main art page for each work so students can find better versions in print or on line. It might make sense to make washed out versions of these that are easier to draw on.
  • This image of Circle Limit II is not actually Escher's CL II, but a reproduction made by Doug Dunham. Also, the actual CL II has red. I'm not sure how to deal with this, but I'm strongly opposed to passing it off as Escher's actual work, since it's just not. I can't find a real CL II on the web. Conceiveably we could scan it from Magic of M.C. Escher.
  • The white lines in Circle Limit III are not geodesics. This was also a mistake in our printed version, and I've fixed it on the main Hyperbolic Geometry page. This has to get fixed - either take it out of this exploration entirely or maybe do the angle computation to realize they can't possibly be geodesics because the angle sums aren't right.
  • The answer to question 10 is "infinitely many". Is that what you wanted?

Bryan 02:57, 26 April 2007 (CDT)

I added the recommendation that copies of the circle limit prints are handed out to students. It's really helpful for them to have paper copies that they can draw on and mark up. --Barta 08:42, 14 November 2007 (CST)

This exploration is looking good. I rephrased a few questions, added one at the beginning to encourage discovery of the geodesics, and made the images look nicer. Some reformatting, simplified section titles. I'm amused by my earlier comment about avoiding Escher's work - that's a plan that's long since been abandoned. I'm going to scan CL II one of these days! Bryan 01:26, 15 April 2008 (CDT)

Got new images for all four CL prints, did some more reformatting. Put back the definition of hyperbolic geodesics in the Poincare model. Added the printable version so students can draw on it.Bryan 14:51, 15 April 2008 (CDT)