20 citations · 60 across the 17 of their papers we have counts for
17 papers
Explicit kinematic equations for degree-4 rigid origami vertices, Euclidean and non-Euclidean
Riccardo Foschi, Thomas C. Hull, Jason S. Ku
We derive new algebraic equations for the folding angle relationships in completely general degree-four rigid-foldable origami vertices, including both Euclidean (developable) and…
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…
Rigid folding equations of degree-6 origami vertices
Johnna Farnham, Thomas C. Hull, Aubrey Rumbolt
Rigid origami, with applications ranging from nano-robots to unfolding solar sails in space, describes when a material is folded along straight crease line segments while keeping t…
Face flips in origami tessellations
Hugo A. Akitaya, Vida Dujmovi, David Eppstein +3
Given a flat-foldable origami crease pattern (a straight-line drawing of a planar graph on a region of the plane) with a mountain-valley (MV) assignment …
Counting locally flat-foldable origami configurations via 3-coloring graphs
Alvin Chiu, William Hoganson, Thomas C. Hull +1
Origami, where two-dimensional sheets are folded into complex structures, is proving to be rich with combinatorial and geometric structure, most of which remains to be fully unders…
Rigid Foldability is NP-Hard
Hugo Akitaya, Erik D. Demaine, Takashi Horiyama +3
In this paper, we show that deciding rigid foldability of a given crease pattern using all creases is weakly NP-hard by a reduction from Partition, and that deciding rigid foldabil…