Vertices, Edges and Faces
A vertex is a corner
An edge joins one vertex with another
A face is an individual surface
Let us look more closely at each of those:
Vertices
A vertex (plural: vertices) is a point where two or more straight lines meet.
It is a Corner.
This tetrahedron has 4 vertices.
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And this pentagon has 5 vertices |
Edges
An edge is a line segment that joins two vertices.
This tetrahedron has 6 edges.
And this pentagon has 5 edges
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It can also be the boundary of a shape.
Such as the circumference of a circle.
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Faces
A face is any of the individual surfaces of a solid object.
This tetrahedron has 4 faces (there is one face you can't see)
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Euler's Formula
For many solid shapes the
- Number of Faces
- plus the Number of Vertices
- minus the Number of Edges
always equals 2
This can be written: F + V - E = 2
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.)
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