485 citations · 940 across the 12 of their papers we have counts for
5 papers · 1 filter
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…