3 papers
math.CO2025
The Origami flip graph of the Miura-ori
Lumi Christensen, Thomas C. Hull, Emma O'Neil +3
Given an origami crease pattern , a straight-line planar graph embedded in a region of , we assign each crease to be either a mountain crease (which bends co…
math.CO2025
The Stamp Folding Problem From a Mountain-Valley Perspective
Thomas C. Hull, Adham Ibrahim, Jacob Paltrowitz +2
A strip of square stamps can be folded in many ways such that all of the stamps are stacked in a single pile in the folded state. The stamp folding problem asks for the number of s…
math.CO2022
Maximal origami flip graphs of flat-foldable vertices: properties and algorithms
Thomas C. Hull, Manuel Morales, Sarah Nash +1
Flat origami studies straight line, planar graphs drawn on a region that can act as crease patterns to map, or fold, into in a w…