activity
20182025
most citedOn Rigid Origami II: Quadrilateral Creased Papers

21 citations · 33 across the 7 of their papers we have counts for

collaborators

9 papers

math.MG2025

A new method for generalizing non-self-intersecting flexible polyhedra

Zeyuan He, Simon D. Guest

A surface is considered flexible if it allows a continuous deformation that preserves both metric and smoothness. We introduce a novel construction method, called 'base + crinkle,'…

math.MG2024

Infinitely refinable generalization of quad-mesh rigid origami: from linear and equimodular couplings

Zeyuan He, Kentaro Hayakawa, Makoto Ohsaki

A quad-mesh rigid origami is a continuously deformable panel-hinge structure where planar, rigid, zero-thickness quadrilateral panels are connected by rotational hinges in the comb…

cs.GR2023★ 2 cited

Real and complexified configuration spaces for spherical 4-bar linkages

Zeyuan He, Kentaro Hayakawa, Makoto Ohsaki

This note is a complete library of symbolic parametrized expressions for both real and complexified configuration spaces of a spherical 4-bar linkage. Building upon the previous wo…

math.MG2023

Real and complexified configuration spaces for planar 4-bar linkages

Zeyuan He, Simon D. Guest

This note is a complete library of symbolic parametrized expressions for both real and complexified configuration spaces of a planar 4-bar linkage. Building upon the previous work…

math.MG2020

New Rigid-foldable Developable Quadrilateral Creased Papers

Zeyuan He, Simon D. Guest

This article extends the range of 1-DOF rigid-foldable developable quadrilateral creased papers. In a previous article, we put forward a sufficient and necessary condition for a qu…

math.MG2020

On rigid origami III: local rigidity analysis

Zeyuan He, Simon D. Guest

Rigid origami is examined from the perspective of rigidity theory. First and second order rigidity are defined from local differential analysis of the consistency constraint; while…

math.MG2019★ 3 cited

Approximating a Target Surface with 1-DOF Rigid Origami

Zeyuan He, Simon D. Guest

We develop some design examples for approximating a target surface at the final rigidly folded state of a developable quadrilateral creased paper, which is folded with a 1-DOF rigi…

math.MG2018★ 21 cited

On Rigid Origami II: Quadrilateral Creased Papers

Zeyuan He, Simon D. Guest

Miura-ori is well-known for its capability of flatly folding a sheet of paper through a tessellated crease pattern made of repeating parallelograms. Many potential applications hav…

math.MG2018★ 7 cited

On Rigid Origami I: Piecewise-planar Paper with Straight-line Creases

Zeyuan He, Simon D. Guest

We develop a theoretical framework for rigid origami, and show how this framework can be used to connect rigid origami and results from cognate areas, such as the rigidity theory,…