Seminar Details
Origami Flip Graphs of Flat-Foldable Vertices
- Start Date: March 24, 2022
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Event Location: Online Event
- Seminar Series: Experimental Math Seminar
- Presenter(s): Natasha Ter-Saakov - Rutgers University
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
In the study of flat origami, each crease pattern has an associated set of valid mountain-valley assignments - ones that will allow it to fold flat. We study how these assignments for single-vertex crease patterns are related to one another through face flips, where flipping a face means switching the assignment of all bordering creases. Specifically, we explore the origami flip graph OFG(C) of a given crease pattern C where each vertex is a valid mountain-valley assignment for C and two vertices are adjacent if their assignments differ by a single face flip. We show how different origami flip graphs of single-vertex crease patterns are related and provide an edge count for the maximal case.
Joint work with Thomas C. Hull, Manuel Morales, and Sarah Nash.
Link to video: https://vimeo.com/693648820