Frank Farris, Santa Clara University
Abstract: What if the universe had an edge? Since “universe” is construed to indicate “all that is,” such an edge would have to be inaccessible, “infinitely far away.”
In this talk, we travel to a hypothetical universe, whose inhabitants, along with all the matter they use to measure their space, shrink as they approach the edge. In this shrinking-ruler universe, that boundary is indeed inaccessible.
The picture of what we call “hyperbolic wallpaper” helps us imagine this cosmos: In the world of the shrinking ruler, all of the peacock fans are exactly the same distance across. All of them. And there are infinitely many copies hidden down there near the edge, unseen by our outsider eyes.
Biography: Frank Farris completed a five-year term as editor of Mathematics Magazine in 2005 and now serves again through 2009, aspiring to continue its tradition of challenging and inspiring teachers and students of mathematics at the undergraduate level. A native Californian, Frank did his undergraduate work at Pomona College and received his Ph.D. from M.I.T. in 1981. Awards include a Trevor Evans Award for his article “The Edge of the Universe” in Math Horizons and the David E. Logothetti Teaching Award at Santa Clara University, where he has taught since 1984.
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