Natasha Ter-Saakov, Rutgers University

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

Presented Via Zoom: https://rutgers.zoom.us/j/94346444480

Password: 6564120420

For further information see: https://sites.math.rutgers.edu/~zeilberg/expmath/