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Seminar Details

Electric Networks and Square Tilings

  • Start Date: March 4, 2020
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Charles Kenney - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

     

    Can a rectangle be tiled by finitely-many squares of distinct side lengths, which are almost-disjoint (intersect only at the boundary)? It turns out that this recreational math problem of squaring a rectangle can be related to electrical networks. We'll use graph theory to deduce a necessary condition, originally due to Dehn, for a rectangle to be squared.