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This version is close but not identical to the published version in Experimental Mathematics, 1 (1992) 141– 165. Some figures have been regenerated, and the bibliography updated. Pagination is different, and the text may not be exactly identical. Abstract The Surface Evolver is a computer program that minimizes the energy of a surface subject to(More)
The Surface Evolver has been used to minimise the surface area of various ordered structures for monodisperse foam. Additional features have enabled its application to foams of arbitrary liquid fraction. Early results for the case of dry foam (negligible liquid fraction) produced a structure having lower surface area, or energy, than Kelvin's 1887 minimal(More)
Capillary-driven self-alignment using droplets is currently extensively investigated for self-assembly and microassembly technology. In this technique, surface tension forces associated to capillary pinning create restoring forces and torques that tend to bring the moving part into alignment. So far, most studies have addressed the problem of square chip(More)
Epithelial cells acquire functionally important shapes (e.g., squamous, cuboidal, columnar) during development. Here, we combine theory, quantitative imaging, and perturbations to analyze how tissue geometry, cell divisions, and mechanics interact to shape the presumptive enveloping layer (pre-EVL) on the zebrafish embryonic surface. We find that, under(More)
This paper presents a physics-based modeling approach for the creation of high quality surfaces for application in CAGD. Physics-based modeling is commonly used in animation and scientific modeling, and simulates realistic dynamic motion for computer graphics. We propose a physics-based modeling of liquid surface motion as a means to generate complex(More)
Physics-based modeling techniques have been shown to be advanced methods for creating high quality surfaces for application in CAGD. In this paper we propose a physics-based Temporal Computational Object (TCO) as a modeling process that simulates a liquid membrane to generate organic free-form models. This process compliments existing solid and elastic(More)
The microbial secondary metabolome encompasses great synthetic diversity, empowering microbes to tune their chemical responses to changing microenvironments. Traditional metabolomics methods are ill-equipped to probe a wide variety of environments or environmental dynamics. Here we introduce a class of microscale culture platforms to analyse chemical(More)