Generalization of rigid-foldable quadrilateral-mesh origami

T Tachi - Journal of the International Association for Shell and …, 2009 - ingentaconnect.com
… We propose generalized rigid-foldable origami based on quadrilateral-mesh. Such a
structure has two additional important advantages over other kinematic structures. …

Rigid-foldable thick origami

T Tachi - Origami, 2011 - api.taylorfrancis.com
… Thick panel origami with … origami has been proposed; such a freeform rigid origami can
be obtained as a triangular mesh origami or as a generalized rigid-foldable quadrilateral mesh

Freeform rigid-foldable structure using bidirectionally flat-foldable planar quadrilateral mesh

T Tachi - Advances in architectural geometry 2010, 2010 - Springer
… the simulation of rigid origami [Tachi 2009c]; if we are to construct a quadrilateral mesh,
then the … The method enables us to obtain a novel generalized form of rigid-foldable flat-foldable …

[PDF][PDF] Generalization of Rigid Foldable Quadrilateral Mesh Origami

A DOMINGO, C LAZARO - tsg.ne.jp
… known to be rigidfoldable as well as … quadrilateral mesh origami and generalize it so
that we can obtain a design of freeform surface that is developable, flat-foldable, and rigid-foldable

[PDF][PDF] Geometric considerations for the design of rigid origami structures

T Tachi - Proceedings of the International Association for Shell …, 2010 - tsg.ne.jp
… Therefore, a rigid-foldable quadrilateral mesh origami must rely on the singularity. Such a …
We solve this problem using the generalized rigid-foldable 4-valent origami. In this method, the …

On rigid origami II: quadrilateral creased papers

Z He, SD Guest - Proceedings of the Royal Society A, 2020 - royalsocietypublishing.org
… if and only if its restriction on each 3 × 3 mesh is rigid-foldable, by considering proper … of
a large rigid-foldable quadrilateral mesh. Although our generalization is still incomplete, this …

Quadrilateral patterns for rigid folding structures

M Stavric, A Wiltsche - International journal of architectural …, 2014 - journals.sagepub.com
… That is why we use paper folding in combination with … If every knot in a quadrilateral mesh is
a conical knot it is called a … surfaces – cylinders, cones or generalized developable surfaces. …

Rigidly foldable quadrilateral meshes from angle arrays

RJ Lang, L Howell - Journal of Mechanisms and …, 2018 - asmedigitalcollection.asme.org
… Many techniques of origami, the art of paper-folding, have … The need to reproduce the folding
motion of the original origami—going … This led to the result that in any quadrilateral mesh of …

Rigid and flat foldability of a degree-four vertex in origami

L Zimmermann, T Stanković - Journal of …, 2020 - asmedigitalcollection.asme.org
… One prerequisite for the global rigid foldability of an origami is … be applied to flat foldable
quadrilateral mesh origami. Abel et al. … are necessary to generalize the given conditions for multi-…

[HTML][HTML] Designing origami tessellations composed of quadrilateral meshes and degree-4 vertices for engineering applications

M Meloni, Q Zhang, J Pak, MN Bilore, R Ma… - Automation in …, 2022 - Elsevier
… and non-rigid foldable origami tessellations composed … generalized method equivalent to
the Abel's theorem for extending the Explorative Design framework to the design of 3D origami