Faculty Scholarly Dissemination Grants

What Can a Right Triangle Look Like?

Department

Mathematics

College

College of Liberal Arts and Sciences

Date Range

2011-2012

Abstract

We all know what a right triangle looks like {or do we? The picture we have in our minds is likely based in Euclidean geometry in the plane, but that is not the only possibility. In this presentation we discuss the concept of orthogonality in the space of nonempty compact subsets of n-dimensional real space and describe how Euclidean orthogonality of compact sets is similar to and di fferent from our standard view of orthogonality. The presentation will include pictures of several seemingly odd right triangles.

Conference Name

2012 Joint Mathematics Meetings, the Annual Meetings of the American Mathematical Society and the Mathematical Association of America

Conference Location

Boston, MA

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