485 citations · 940 across the 12 of their papers we have counts for
12 papers
Triclinic metamaterials by tristable origami with reprogrammable frustration
Ke Liu, Phanisri P. Pratapa, Diego Misseroni +2
Geometrical frustration induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According t…
Geodesic Folding of Tetrahedron
Seri Nishimoto, Takashi Horiyama, Tomohiro Tachi
In this work, we show the geometric properties of a family of polyhedra obtained by folding a regular tetrahedron along regular triangular grids. Each polyhedron is identified by a…
Programming Curvature using Origami Tessellations
Levi H. Dudte, Etienne Vouga, Tomohiro Tachi +1
Origami describes rules for creating folded structures from patterns on a flat sheet, but does not prescribe how patterns can be designed to fit target shapes. Here, starting from…
Conic Crease Patterns with Reflecting Rule Lines
Erik D. Demaine, Martin L. Demaine, David A. Huffman +2
We characterize when two conic curved creases are compatible with each other, when the rule lines must converge to conic foci and reflect at the crease. Namely, two conics are comp…
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…
An Edge Extrusion-Approach to Generate Extruded Miura-Ori and Its Double Tiling Origami Patterns
Kai Suto, Akito Adachi, Tomohiro Tachi +1
This paper proposes a family of origami tessellations called extruded Miura-Ori, whose folded state lies between two parallel planes with some faces on the planes, potentially usef…
Self-foldability of monohedral quadrilateral origami tessellations
Thomas C. Hull, Tomohiro Tachi
Using a mathematical model for self-foldability of rigid origami, we determine which monohedral quadrilateral tilings of the plane are uniquely self-foldable. In particular, the Mi…
Double-line rigid origami
Thomas C. Hull, Tomohiro Tachi
In this paper, we will show methods to interpret some rigid origami with higher degree vertices as the limit case of structures with degree-4 supplementary angle vertices. The inte…
Origami-based tunable truss structures for non-volatile mechanical memory operation
Hiromi Yasuda, Tomohiro Tachi, Mia Lee +1
Origami has recently received significant interest from the scientific community as a building block for constructing metamaterials. However, the primary focus has been placed on t…
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…
Characterization of Curved Creases and Rulings: Design and Analysis of Lens Tessellations
Erik D. Demaine, Martin L. Demaine, David A. Huffman +2
We describe a general family of curved-crease folding tessellations consisting of a repeating "lens" motif formed by two convex curved arcs. The third author invented the first suc…
(Non)existence of Pleated Folds: How Paper Folds Between Creases
Erik D. Demaine, Martin L. Demaine, Vi Hart +2
We prove that the pleated hyperbolic paraboloid, a familiar origami model known since 1927, in fact cannot be folded with the standard crease pattern in the standard mathematical m…