Vertices, Edges and Faces

Vertex, Edge and Face
A vertex is a corner.
An edge is a line segment between faces.
A face is a single flat surface
.

Let us look more closely at each of those:

Vertices

Vertex

A vertex (plural: vertices) is a point where two or more line segments meet.

It is a Corner.

This tetrahedron has 4 vertices.

And this pentagon has 5 vertices: Pentagon vertices 

Edges

Pentagon edges
This Pentagon
Has 5 Edges

 

For a polygon an edge is a line segment on the boundary joining one vertex (corner point) to another.


Edges
This Tetrahedron
Has 6 Edges

 

For a polyhedron an edge is a line segment where two faces meet.

Faces

Faces

A face is any of the individual flat surfaces of a solid object.

This tetrahedron has 4 faces (there is one face you can't see)

 

Sides

"Side" is not a very accurate word, because it can mean:

Sides

Euler's Formula

For many solid shapes the

always equals 2

This can be written: F + V − E = 2

cube

Try it on the cube:

A cube has 6 Faces, 8 Vertices, and 12 Edges,

so:

6 + 8 − 12 = 2

(To find out more about this read Euler's Formula.)