# Classification of surfaces topology

## What are the classification of surfaces?

Classification of closed surfaces

**Left: Some orientable closed surfaces are the surface of a sphere, the surface of a torus, and the surface of a cube**. (The cube and the sphere are topologically equivalent to each other.) Right: Some surfaces with boundary are the disk surface, square surface, and hemisphere surface.

## What is surface topology explain briefly?

Surface topography

**refers to both the profile shape and the surface roughness**(including the waviness and the asperity or the finish). Surface topography affects the film thickness to roughness ratio and the lubrication regime.## How many types of surface are there in geometry?

surface, In geometry,

**a two-dimensional collection of points (flat surface), a three-dimensional collection of points whose cross section is a curve (curved surface)**, or the boundary of any three-dimensional solid.## What is a compact surface in topology?

A compact surface is

**a surface that can be obtained from a polygon (or a finite number of polygons) by identifying edges**. For example, the surfaces we constructed in Section 2.3 â€“ cylinder, MÃ¶bius band, torus, Klein bottle, projective plane, torus with 1 hole, 2-fold torus and sphere â€“ are all compact surfaces.## What are surface features?

**Any topography element that looks like a hill or a pit in wide sense**may be taken as a surface feature.

## Which instrument is used for surface topography?

**displacement transducer**to trace a surface is by far the most common instrument.

## What is an open surface?

An open surface

**always has an edge, a rim, or some boundary**. Examples include a sheet of paper, a lamp shade, and half of an egg shell. Closed surfaces, on the other hand, do not possess an edge or boundary. Examples of closed surfaces include a sphere and an unbroken egg shell.## Is circle a closed surface?

I understand in 3 dimensions a circle has a boundary thus

**it is an open surface**; however, it also has a boundary in 2 dimensions.## What is a boundary of a surface?

A boundary surface is defined to be either the mathematical envelope between a charged region and empty space, where the density fields associated with the region vanish, or the mathematical envelope between two electrically different regions in contact, where the density fields associated with the two change abruptly.

## What do you mean by surface conditions?

Surface condition

**defines how reflective, diffuse, bright, or muted a surface is**. The smoother the surface, the more it reflects light and its environment. Uneven surfaces diffuse more light along their surface, providing little to no reflection (Fig. 21.16).## What is meant by open surface?

An open surface

**always has an edge, a rim, or some boundary**. Examples include a sheet of paper, a lamp shade, and half of an egg shell. Closed surfaces, on the other hand, do not possess an edge or boundary. Examples of closed surfaces include a sphere and an unbroken egg shell.## What is difference between topology and topography?

Topography is a branch of geography concerned with the natural and constructed features on the surface of land, such as mountains, lakes, roads, and buildings. Topology is a branch of mathematics concerned with the distortion of shapes.

## What is topography in chemistry?

In chemistry, topology

**provides a way of describing and predicting the molecular structure within the constraints of three-dimensional (3-D) space**.## Is circle a closed surface?

I understand in 3 dimensions a circle has a boundary thus

**it is an open surface**; however, it also has a boundary in 2 dimensions.## Is Cube a closed surface?

**A closed surface could be the surface are of a sphere or a cube**, etc.