Engineering

Solving solar panels' dirty problem

From water-repellent to water-loving with ultraviolet (UV) light, surfaces are being developed that protect panels and glass facades from expensive and time-consuming cleanings.

Engineering

3D-printed smart contact lens with navigation function

Dr. Seol Seung-Kwon's Smart 3D Printing Research Team at KERI and Professor Lim-Doo Jeong's team at Ulsan National Institute of Science and Technology (UNIST) developed core technology for smart contact lenses that can implement ...

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Surface

In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball or bagel. On the other hand, there are surfaces which cannot be embedded in three-dimensional Euclidean space without introducing singularities or intersecting itself — these are the unorientable surfaces.

To say that a surface is "two-dimensional" means that, about each point, there is a coordinate patch on which a two-dimensional coordinate system is defined. For example, the surface of the Earth is (ideally) a two-dimensional sphere, and latitude and longitude provide coordinates on it — except at the International Date Line and the poles, where longitude is undefined. This example illustrates that not all surfaces admits a single coordinate patch. In general, multiple coordinate patches are needed to cover a surface.

Surfaces find application in physics, engineering, computer graphics, and many other disciplines, primarily when they represent the surfaces of physical objects. For example, in analyzing the aerodynamic properties of an airplane, the central consideration is the flow of air along its surface.

This text uses material from Wikipedia, licensed under CC BY-SA