It is a vertex and its plural is vertices
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A vertex (plural = vertices).
There are four faces, six edges and four vertices.Remember,faces are the flat sides.Edges are the lines where two of the faces meet.Vertices are the corners where three or more of the faces meet.
The point where two or more lines meet is the intersection.
A point where two lines meet is called an intersection. Also, more than two lines can be intersected in one point.
I think you're talking about an intersection. An intersection is where two or more separate lines meet each other in one point.