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This page goes into the details of what 'vertices', 'lines', and 'faces' are.

Vertex/Vertices: Just a point(s) that make up and object. It is not possible to have these without any lines connecting them, although it is possible to not have any faces.

Line: Lines (believe it or not) that connect points together.

Face: A triangle or quadrilateral that forms the visible parts of the object.

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