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Seminar Details

Crystalline Order in Random Packings of Z-pentominoes on the Square Lattice

  • Start Date: March 11, 2026
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Qidong He - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Randomly packed Z-pentominoes on the square lattice are known numerically to undergo a disorder-order phase transition as the packing fraction increases; see the attached images by Barnes (2010). I will prove this by showing that there is order when the packing fraction is sufficiently large, and fully classifying all types of order that can emerge.