12 papers
Wallpaper group kirigami
Lucy Liu, Gary P. T. Choi, L. Mahadevan
Kirigami, the art of paper cutting, has become a paradigm for mechanical metamaterials in recent years. The basic building blocks of any kirigami structures are repetitive deployab…
Compact reconfigurable kirigami
Gary P. T. Choi, Levi H. Dudte, L. Mahadevan
Kirigami involves cutting a flat, thin sheet that allows it to morph from a closed, compact configuration into an open deployed structure via coordinated rotations of the internal…
Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory
Gary P. T. Choi
Conformal mapping, a classical topic in complex analysis and differential geometry, has become a subject of great interest in the area of surface parameterization in recent decades…
Control of connectivity and rigidity in prismatic assemblies
Gary P. T. Choi, Siheng Chen, L. Mahadevan
How can we manipulate the topological connectivity of a three-dimensional prismatic assembly to control the number of internal degrees of freedom and the number of connected compon…
Volumetric density-equalizing reference map with applications
Gary P. T. Choi, Chris H. Rycroft
The density-equalizing map, a technique developed for cartogram creation, has been widely applied to data visualization but only for 2D applications. In this work, we propose a nov…
Shape analysis via inconsistent surface registration
Gary P. T. Choi, Di Qiu, Lok Ming Lui
In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometrics methods suffer from the limited degre…