One-Sided Surface

one-sided surface

[′wən ‚sīd·əd ′sər·fəs]
(mathematics)
A surface such that an object resting on one side can be moved continuously over the surface to reach the other side without going around an edge; the Möbius band and the Klein bottle are examples. Also known as nonorientable surface.

One-Sided Surface

 

a surface that, in contrast to, for example, the sphere or square, does not have two different sides. More precisely, let us suppose the surface has a normal continuously dependent on a point. By taking the normal vector at any point on the surface and continuously shifting it along a closed path, we can reach the initial point with a vector opposite in direction to the original vector. The simplest one-sided surface is the Möbius band. The class of one-sided surfaces in three-dimensional space coincides with the class of nonorientable surfaces.

References in periodicals archive ?
The sculpture is named after the Mbius loop, a one-sided surface with only one boundary in mathematical concepts.
One-sided surface treatment is less tacky than the opposing contact side, permitting the thermal pad to consistently adhere to the electrical component or opposing heat sink.
These strips are actually a one-sided surface that is constructed from a long rectangular piece of paper by holding one side fixed while the opposite side of the strip is rotated 180 degrees, then attached to the opposite end.
Window cleaning: a) one-sided surface of the windows is approx.