@phdthesis{oai:oist.repo.nii.ac.jp:00002785,
 author = {Mihai, Alexandru},
 month = {2023-08-31, 2022-09-16},
 note = {The shapes of soap films and their properties have been studied for centuries, and scientific literature mentioning the self-assembly of structures across length scales is becoming increasingly prevalent. While research regarding self-assembly is often focused on the nanoscopic regime, multiple recent reviews aptly state that self-assembly is not limited to molecules. To better understand self-assembly systems in generality, pushing the boundaries of scale and methodology is paramount. This thesis demonstrates the self-assembly of multiple geometries on centimeter length scales by use of a novel medium, namely soap films. Gravity-mediated and displacement-driven assemblies demonstrate platonic solid geometries as well as prismatic and pyramidal structures of varying heights within a catenoid-like soap film membrane. The edge-toedge alignment of any two tiles is similar to the self-assembly processes described in research regarding the rotation of microstructures. An axes-symmetric model of soap film deflection within the context of gravity-mediated structures is derived and compared to experiments with excellent accordance found. The model is derived by energy methods, using a calculus of variations approach. For the structures constructed using the displacement-driven method, two effective radii predicting the pinch-off of the soap film were discovered and used to compare experimental results to the predictions. Self-folding within the context of displacement-driven assemblies is also presented to reiterate the versatility and robustness of the assembly method. Numerical simulations using Surface Evolver are presented throughout to provide an additional method of analysis of the equilibrium states of the assemblies. The characterization of fundamental geometries assembled by the methods presented in this thesis enables future research and applications in packaging, robotics, and three-dimensional electronics.},
 school = {Okinawa Institute of Science and Technology Graduate University},
 title = {石鹸膜が仲介する三次元自己集合：浮遊と変位による幾何学},
 year = {}
}