Gabe Cunningham (Northeastern University) - Constructing abstract regular polytopes with external symmetries

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Mathematics - Colloquium

Date & Time: Friday, January 27, 2012
11:00 AM-12:00 PM
Suggested Audiences: Adult, College
Location:
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WPI: Stratton Hall
203
100 Institute Road
Worcester, MA 01609-2280
Description: ABSTRACT: Abstract polytopes are a combinatorial generalization of convex polytopes and tessellations of surfaces. Of particular importance are the regular polytopes, which have the highest degree of internal symmetry. In addition to these internal symmetries, which correspond to reflections and rotations, some regular polytopes have external symmetries such as self-duality. This talk will introduce and motivate the subject of abstract polytopes, and then we will see a group-theoretic method for constructing regular polytopes with specified external symmetries.
More Information: E-mail: ma-chair@wpi.edu
Entered by: WPI: Mathematical Sciences Department

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Created: November 16, 2011 at 9:57 AM
Last Modified: November 29, 2011 at 11:03 AM

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