View Proposal #30

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ID30
First NameFrank
Last NameFarris
InstitutionSanta Clara University and Editor of Mathematics Magazine
Speaker Categoryinvited
Title of Talk The Edge of the Universe--Hyperbolic Wallpaper
AbstractThe universe couldn't have an edge, because if it did, you could go there, put your hand through and find more of the universe on the other side, right? This reasoning breaks down if you and your measuring devices shrink as you approach the edge, making it infinitely far away. We show a mathematical model of such a universe, called the Poincare Upper Halfplane, and study some of its features. The classical topic of circle inversion plays a prominent role. Physics suggests that this turns out to be a cold and lonely place, but we make beautiful wallpaper for the inhabitants.
Subject area(s)Geometry
Suitable for undergraduates?Yes
Day Preference
Computer Needed?Y
Bringing a laptop?N
Overhead Needed?Y
Software requests
Special Needs
Date Submitted2/18/2004
Year2004