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Experimental Mathematics Seminar

Origami flip graphs of flat-foldable vertices

Natalya Ter-Saakov, Rutgers University

Location:  Zoom
Date & time: Thursday, 24 March 2022 at 5:00PM - 6:00PM

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

Zoom link:
Password password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420

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