View Proposal #123

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ID123
First NameRuth
Last NameBerger
InstitutionLuther College
Speaker Categoryfaculty
Title of TalkEscher's World and Green Jello World - A Concrete Introduction to Hyperbolic Geometry
AbstractUnderstanding theorems in non-Euclidean Geometry can be challenging to people who live in a Euclidean World. Since we do live on a sphere, Elliptic geometry makes some sense, but Hyperbolic geometry completely defies all our intuition. I will present two concrete examples of Poincare's models, which in class I refer to as "Escher's World" and the "Green Jello World". Thinking about what the inhabitants of these worlds might consider to be a straight line and other geometric concepts lets students accept the fact that Hyperbolic geometry is in fact just as natural as Euclidean Geometry.
Subject area(s)Geometry
Suitable for undergraduates?Yes
Day Preference
Computer Needed?Y
Bringing a laptop?N
Overhead Needed?Y
Software requestsCinderalla
Special Needs
Date Submitted3/11/2005
Year2005