2 citations · 3 across the 6 of their papers we have counts for
6 papers
Tunable Snapping and Rigid Foldability in the Mars Origami Pattern
Menelaos Raptis, Thomas C. Hull
Origami-inspired metamaterials exploit the interplay between geometry and elasticity to achieve programmable mechanical responses. Yet the origin and tunability of snap-through ins…
Quasigeodesics on the Cube
MIT CompGeom Group, Hugo A. Akitaya, Erik D. Demaine +10
A quasigeodesic is a curve on the surface of a convex polyhedron that has surface to each side at every point. In contrast, a geodesic has exactly to each side and so c…
On random locally flat-foldable origami
Thomas C. Hull, Marcus Michelen, Corrine Yap
We develop a theory of random flat-foldable origami. Given a crease pattern, we consider a uniformly random assignment of mountain and valley creases, conditioned on the assignment…
A rigid origami elliptic-hyperbolic vertex duality
Thomas C. Hull
The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the cre…
Nonlinear Kinematics of Recursive Origami Inspired by the Spidron
Rinki Imada, Thomas C. Hull, Jason S. Ku +1
Non-periodic folding of periodic crease patterns paves the way to novel nonlinear phenomena that cannot be feasible through periodic folding. This paper focuses on the non-periodic…
Flat origami is Turing Complete
Thomas C. Hull, Inna Zakharevich
"Flat origami" refers to the folding of flat, zero-curvature paper such that the finished object lies in a plane. Mathematically, flat origami consists of a continuous, piecewise i…