Results 251 to 260 of about 9,844,505 (300)
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The Quarterly Journal of Mathematics, 2001
In this work, infinitely many families of rational minimal surfaces in Euclidean 3-space are constructed. A rational minimal surface is a complete conformal non-planar minimal immersion whose Weierstrass representation is defined on the Riemann 2-sphere punctured at finitely many points (the puncture points are mapped by the Weierstrass representation ...
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In this work, infinitely many families of rational minimal surfaces in Euclidean 3-space are constructed. A rational minimal surface is a complete conformal non-planar minimal immersion whose Weierstrass representation is defined on the Riemann 2-sphere punctured at finitely many points (the puncture points are mapped by the Weierstrass representation ...
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International Journal of Theoretical Physics, 2006
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Desalination, 2018
3D printing is utilized to create different feed channel spacer designs aimed at enhancing the spacer performance specifically for membrane distillation (MD) application. The novelty is the use of mathematically developed triply periodic minimal surface (
Navya Thomas +5 more
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3D printing is utilized to create different feed channel spacer designs aimed at enhancing the spacer performance specifically for membrane distillation (MD) application. The novelty is the use of mathematically developed triply periodic minimal surface (
Navya Thomas +5 more
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Applied Optics, 1969
It has been pointed out that the meridional object and image foci as well as the meridional center of curvature will lie on the same straight line if the condition Delta (n cos(2)i/t) = Delta (n/t) is satisfied. The surfaces fulfilling this condition do not introduce astigmatism; hence they have been called minimal astigmatism surfaces. The generalized
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It has been pointed out that the meridional object and image foci as well as the meridional center of curvature will lie on the same straight line if the condition Delta (n cos(2)i/t) = Delta (n/t) is satisfied. The surfaces fulfilling this condition do not introduce astigmatism; hence they have been called minimal astigmatism surfaces. The generalized
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Minimal Surfaces and Sobolev Gradients
SIAM Journal on Scientific Computing, 1995The authors treat the problem of computing triangle-based piecewise linear approximations to parametric minimal surfaces in the Euclidean 3-space. They employ the Sobolev metric method to descend the surface-area functional at each iteration. Test results show that, starting with extremely poor initial estimates, a few descent iterations produce ...
Robert J. Renka, J. W. Neuberger
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Materials Science and Engineering C: Materials for Biological Applications, 2018
Scaffolds with gradient pore characteristics have received a great deal of attention as they can better mimic the structure of the native tissues and concurrently meet both biological and mechanical requirements.
M. Afshar +2 more
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Scaffolds with gradient pore characteristics have received a great deal of attention as they can better mimic the structure of the native tissues and concurrently meet both biological and mechanical requirements.
M. Afshar +2 more
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Enhancing impact resistance of hybrid structures designed with triply periodic minimal surfaces
Composites Science And Technology, 2023Fenglei Li +5 more
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Porous scaffold design by solid T-splines and triply periodic minimal surfaces
Computer Methods in Applied Mechanics and Engineering, 2018Due to its high interconnectivity and smooth surface, the triply periodic minimal surface (TPMS) has become a promising porous structure applied as tissue engineering scaffold, lightweight filling and micro-reactor.
Jiawei Feng +4 more
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2023
Minimal surfaces are an object within differential geometry. Differential geometry is a field of mathematics which studies geometric objects that can be described by smooth, i.e. infinitely differentiable maps. These geometric objects are called manifolds.
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Minimal surfaces are an object within differential geometry. Differential geometry is a field of mathematics which studies geometric objects that can be described by smooth, i.e. infinitely differentiable maps. These geometric objects are called manifolds.
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, 2017
We construct a new family of high genus examples of free boundary minimal surfaces in the Euclidean unit 3-ball by desingularizing the intersection of a coaxial pair of a critical catenoid and an equatorial disc.
N. Kapouleas, M. Li
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We construct a new family of high genus examples of free boundary minimal surfaces in the Euclidean unit 3-ball by desingularizing the intersection of a coaxial pair of a critical catenoid and an equatorial disc.
N. Kapouleas, M. Li
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