49 citations
- University of Massachusetts AmherstUS7 papers
- New England CollegeUS6 papers
- Massachusetts Institute of TechnologyUS4 papers
- The University of Texas at AustinUS4 papers
- Florida International UniversityUS3 papers
- Los Alamos National LaboratoryUS3 papers
- Oakland UniversityUS3 papers
- University of California, IrvineUS3 papers
- National and Kapodistrian University of AthensGR2 papers
- San Diego State UniversityUS2 papers
- The University of TokyoJP2 papers
- Tufts UniversityUS2 papers
4 papers · 1 filter
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…
Symmetric colorings of polypolyhedra
Sarah-Marie Belcastro, Thomas C. Hull
Polypolyhedra (after R. Lang) are compounds of edge-transitive 1-skeleta. There are 54 topologically different polypolyhedra, and each has icosidodecahedral, cuboctahedral, or tetr…
Rigid Origami Vertices: Conditions and Forcing Sets
Zachary Abel, Jason Cantarella, Erik D. Demaine +5
We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the cre…
The Combinatorics of Flat Folds: a Survey
Thomas C. Hull
We survey results on the foldability of flat origami models. The main topics are the question of when a given crease pattern can fold flat, the combinatorics of mountain and valley…