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Thread: Suggestions/Tips for Non-Euclidean Geometry

  1. #1

    Smile Suggestions/Tips for Non-Euclidean Geometry

    Hello!

    Does anyone have any suggestions/tips for how to work with Non-Euclidean Geometry in GSP5?? I'm mainly interested in Hyperbolic or Spherical/Elliptical. Spherical/Elliptical Geometries are the same, correct??

    If anyone has any information or files to share on this topic - I'd love to see them!!

    Thanks,

    Courtney
    Last edited by courtneyheltzel; 11-18-2010 at 03:21 PM. Reason: spelled title wrong

  2. #2

    Suggestions/Tips for Non-Euclidean Geometry

    Hi Courtney,

    This is not my area of expertise, so I'll post two suggestions and hope others weigh in.
    Sketchpad comes with a sample sketch containing Hyperbolic Geometry custom tools. Poincaré_Disk_Model_of_Hyperbolic_Geometry.gsp (I see some garbage chars are showing up in the title, but I think it should download properly.)

    If you have GSP5, you can find this and other sample sketches from the Help menu: Help | Sample Sketches & Tools | Advanced Topics.

    My second suggestion is to check out this Beyond Euclid page:
    http://www.dynamicgeometry.com/Gener...eyond%20Euclid

    I hope others chime in!

  3. #3
    Sketchpad Developer
    Join Date
    Nov 2010
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    To amplify Elizabeth's recommendations a bit, at least some of these sketches have some good extension materials that expand on, and help you explore, the various geometries they implement:

    * Bjørn Felsager's Minkowskian Geometry microworld has a "Supplemental Materials" PDF at http://www.dynamicgeometry.com/Gener..._Geometry.html

    * Chapter 9 of Fenton & Renolds' "College Geometry Using The Geometer's Sketchpad" is all about the Poincaré disk model of hyperbolic geometry, and uses the sample sketch of that name (http://www.wiley.com/WileyCDA/WileyT...470412178.html)

    Good luck,
    Nick

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